|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > ; > analytic_val_y := exact_soln_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[2] := relerr; > else > array_last_rel_error[2] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " "); analytic_val_y := exact_soln_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[2] := relerr else array_last_rel_error[2] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y1_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > newline(); > return(hnew); > fi;# end if 2 > fi;# end if 1 > ; > if (not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1 > ; > hnew := sz2; > #END block > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < abs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); newline(); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if convfloat(percent_done) < convfloat(100.0) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > fi;# end if 1 > ; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > # End Function number 5 > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # Begin Function number 6 > check_for_pole := proc() > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 5 - 1; > while ((m >= 10) and ((abs(array_y2_higher[1,m]) < glob_small_float) or (abs(array_y2_higher[1,m-1]) < glob_small_float) or (abs(array_y2_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 1 > #IN RADII REAL EQ = 2 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y1_higher[1,m]) < glob_small_float) or (abs(array_y1_higher[1,m-1]) < glob_small_float) or (abs(array_y1_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[2,1] := rcs; > array_real_pole[2,2] := ord_no; > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 2 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 5 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y2_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 1 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > elif (abs(array_y2_higher[1,m]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-5]) >= (glob_large_float)) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3 > ; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2 > ; > #BOTTOM RADII COMPLEX EQ = 1 > #TOP RADII COMPLEX EQ = 2 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y1_higher[1,n]) > glob_small_float) then # if number 2 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 2 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 2 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > elif (abs(array_y1_higher[1,m]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-5]) >= (glob_large_float)) then # if number 3 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 4 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > fi;# end if 4 > ; > array_complex_pole[2,1] := rad_c; > array_complex_pole[2,2] := ord_no; > fi;# end if 3 > ; > #BOTTOM RADII COMPLEX EQ = 2 > found := false; > #TOP WHICH RADII EQ = 1 > if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 1 > found := false; > #TOP WHICH RADII EQ = 2 > if not found and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > found := true; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float))) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > found := true; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > array_type_pole[2] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 2 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if array_pole[1] > array_poles[1,1] then # if number 3 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 1 > #TOP WHICH RADIUS EQ = 2 > if array_pole[1] > array_poles[2,1] then # if number 3 > array_pole[1] := array_poles[2,1]; > array_pole[2] := array_poles[2,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 2 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; n := glob_max_terms; m := n - 6; while 10 <= m and (abs(array_y2_higher[1, m]) < glob_small_float or abs(array_y2_higher[1, m - 1]) < glob_small_float or abs(array_y2_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y1_higher[1, m]) < glob_small_float or abs(array_y1_higher[1, m - 1]) < glob_small_float or abs(array_y1_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[2, 1] := rcs; array_real_pole[2, 2] := ord_no else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if; n := glob_max_terms - 6; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y2_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float elif glob_large_float <= abs(array_y2_higher[1, m]) or glob_large_float <= abs(array_y2_higher[1, m - 1]) or glob_large_float <= abs(array_y2_higher[1, m - 2]) or glob_large_float <= abs(array_y2_higher[1, m - 3]) or glob_large_float <= abs(array_y2_higher[1, m - 4]) or glob_large_float <= abs(array_y2_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y1_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float elif glob_large_float <= abs(array_y1_higher[1, m]) or glob_large_float <= abs(array_y1_higher[1, m - 1]) or glob_large_float <= abs(array_y1_higher[1, m - 2]) or glob_large_float <= abs(array_y1_higher[1, m - 3]) or glob_large_float <= abs(array_y1_higher[1, m - 4]) or glob_large_float <= abs(array_y1_higher[1, m - 5]) then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[2, 1] := rad_c; array_complex_pole[2, 2] := ord_no end if; found := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; found := false; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; found := true; array_type_pole[2] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[2, 1] <> glob_large_float and array_real_pole[2, 2] <> glob_large_float and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float or array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float) then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; found := true; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; array_type_pole[2] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_poles[2, 1] < array_pole[1] then array_pole[1] := array_poles[2, 1]; array_pole[2] := array_poles[2, 2] end if; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 3 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y2[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > ; > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y1[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 3 > ; > # End Function number 7 > end; get_norms := proc() local iii; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y2[iii]) then array_norms[iii] := abs(array_y2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y1[iii]) then array_norms[iii] := abs(array_y1[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre add $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D0[1] + array_y1[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[1] * (glob_h ^ (5)) * factorial_3(0,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,4] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,3] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,2] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > # emit pre mult $eq_no = 2 i = 1 > array_tmp3[1] := (array_m1[1] * (array_y2[1])); > #emit pre add $eq_no = 2 i = 1 > array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre add $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D0[2] + array_y1[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[2] * (glob_h ^ (5)) * factorial_3(1,6); > array_y2[7] := temporary; > array_y2_higher[1,7] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,6] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,5] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,4] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,3] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > # emit pre mult $eq_no = 2 i = 2 > array_tmp3[2] := ats(2,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 2 > array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre add $eq_no = 1 i = 3 > array_tmp1[3] := array_const_0D0[3] + array_y1[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[3] * (glob_h ^ (5)) * factorial_3(2,7); > array_y2[8] := temporary; > array_y2_higher[1,8] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,7] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,6] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,5] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,4] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > # emit pre mult $eq_no = 2 i = 3 > array_tmp3[3] := ats(3,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 3 > array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre add $eq_no = 1 i = 4 > array_tmp1[4] := array_const_0D0[4] + array_y1[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,9] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[4] * (glob_h ^ (5)) * factorial_3(3,8); > array_y2[9] := temporary; > array_y2_higher[1,9] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,8] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,7] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,6] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,5] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > # emit pre mult $eq_no = 2 i = 4 > array_tmp3[4] := ats(4,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 4 > array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre add $eq_no = 1 i = 5 > array_tmp1[5] := array_const_0D0[5] + array_y1[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,10] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[5] * (glob_h ^ (5)) * factorial_3(4,9); > array_y2[10] := temporary; > array_y2_higher[1,10] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,9] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,8] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,7] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,6] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > # emit pre mult $eq_no = 2 i = 5 > array_tmp3[5] := ats(5,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 5 > array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit add $eq_no = 1 > array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk]; > #emit assign $eq_no = 1 > order_d := 5; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y2_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp1[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y2_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > #emit mult $eq_no = 2 > array_tmp3[kkk] := ats(kkk,array_m1,array_y2,1); > #emit add $eq_no = 2 > array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk]; > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp4[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y1[kkk + order_d] := temporary; > array_y1_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y1_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > kkk := kkk + 1; > od;# end do number 1 > ; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > # End Function number 8 > end; atomall := proc() local kkk, order_d, adj2, temporary, term; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; array_tmp1[1] := array_const_0D0[1] + array_y1[1]; if not array_y2_set_initial[1, 6] then if 1 <= glob_max_terms then temporary := array_tmp1[1]*glob_h^5*factorial_3(0, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 4] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 3] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 2] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 1] := temporary end if end if; kkk := 2; array_tmp3[1] := array_m1[1]*array_y2[1]; array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*glob_h*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D0[2] + array_y1[2]; if not array_y2_set_initial[1, 7] then if 2 <= glob_max_terms then temporary := array_tmp1[2]*glob_h^5*factorial_3(1, 6); array_y2[7] := temporary; array_y2_higher[1, 7] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 6] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 4] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 3] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 2] := temporary end if end if; kkk := 3; array_tmp3[2] := ats(2, array_m1, array_y2, 1); array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*glob_h*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := array_const_0D0[3] + array_y1[3]; if not array_y2_set_initial[1, 8] then if 3 <= glob_max_terms then temporary := array_tmp1[3]*glob_h^5*factorial_3(2, 7); array_y2[8] := temporary; array_y2_higher[1, 8] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 7] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 6] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 5] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 4] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 3] := temporary end if end if; kkk := 4; array_tmp3[3] := ats(3, array_m1, array_y2, 1); array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*glob_h*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := array_const_0D0[4] + array_y1[4]; if not array_y2_set_initial[1, 9] then if 4 <= glob_max_terms then temporary := array_tmp1[4]*glob_h^5*factorial_3(3, 8); array_y2[9] := temporary; array_y2_higher[1, 9] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 8] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 7] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 5] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 4] := temporary end if end if; kkk := 5; array_tmp3[4] := ats(4, array_m1, array_y2, 1); array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*glob_h*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := array_const_0D0[5] + array_y1[5]; if not array_y2_set_initial[1, 10] then if 5 <= glob_max_terms then temporary := array_tmp1[5]*glob_h^5*factorial_3(4, 9); array_y2[10] := temporary; array_y2_higher[1, 10] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 9] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 8] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 7] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 6] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 5] := temporary end if end if; kkk := 6; array_tmp3[5] := ats(5, array_m1, array_y2, 1); array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*glob_h*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk]; order_d := 5; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp1[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y2_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; array_tmp3[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp4[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y1_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi; > # End Function number 1 > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 5 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, "Unknown") end if; fprintf(fd, "") end proc > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 10 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 11 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # Begin Function number 5 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 11 > # End Function number 5 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > comp_percent := proc(t_end2,t_start2,t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # Begin Function number 17 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 13 > if array_fact_1[nnn] = 0 then # if number 14 > ret := nnn!; > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 14 > ; > else > ret := nnn!; > fi;# end if 13 > ; > ret; > # End Function number 17 > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := nnn!; array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := nnn! end if; ret end proc > # Begin Function number 18 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13 > if array_fact_2[mmm,nnn] = 0 then # if number 14 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 14 > ; > else > ret := (mmm!)/(nnn!); > fi;# end if 13 > ; > ret; > # End Function number 18 > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := mmm!/nnn! end if; ret end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y1 := proc(x) > 1.0 + cos(x); > end; exact_soln_y1 := proc(x) 1.0 + cos(x) end proc > exact_soln_y2 := proc(x) > 1.0 + sin(x); > end; exact_soln_y2 := proc(x) 1.0 + sin(x) end proc > exact_soln_y2p := proc(x) > cos(x); > end; exact_soln_y2p := proc(x) cos(x) end proc > exact_soln_y2pp := proc(x) > -sin(x); > end; exact_soln_y2pp := proc(x) -sin(x) end proc > exact_soln_y2ppp := proc(x) > -cos(x); > end; exact_soln_y2ppp := proc(x) -cos(x) end proc > exact_soln_y2pppp := proc(x) > sin(x); > end; exact_soln_y2pppp := proc(x) sin(x) end proc > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > ALWAYS, > glob_iolevel, > DEBUGMASSIVE, > INFO, > DEBUGL, > glob_max_terms, > #Top Generate Globals Decl > glob_start, > glob_small_float, > glob_abserr, > glob_log10_abserr, > glob_large_float, > sec_in_min, > glob_warned, > glob_smallish_float, > glob_max_trunc_err, > glob_max_hours, > glob_h, > glob_reached_optimal_h, > years_in_century, > glob_max_minutes, > glob_normmax, > glob_optimal_clock_start_sec, > glob_optimal_expect_sec, > glob_current_iter, > glob_orig_start_sec, > glob_unchanged_h_cnt, > glob_not_yet_finished, > min_in_hour, > glob_disp_incr, > glob_clock_sec, > centuries_in_millinium, > djd_debug2, > djd_debug, > glob_max_opt_iter, > glob_warned2, > glob_hmin_init, > glob_hmax, > glob_clock_start_sec, > glob_subiter_method, > glob_log10abserr, > glob_dump_analytic, > glob_last_good_h, > glob_percent_done, > glob_log10relerr, > MAX_UNCHANGED, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > glob_hmin, > glob_not_yet_start_msg, > days_in_year, > hours_in_day, > glob_iter, > glob_max_sec, > glob_max_rel_trunc_err, > glob_max_iter, > glob_dump, > glob_curr_iter_when_opt, > glob_optimal_done, > glob_almost_1, > glob_display_flag, > glob_optimal_start, > glob_relerr, > glob_initial_pass, > glob_html_log, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_fact_1, > array_x, > array_y2_init, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y1_init, > array_pole, > array_m1, > array_y2, > array_y1, > array_norms, > array_1st_rel_error, > array_fact_2, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher_work, > array_y1_set_initial, > array_y1_higher, > array_y2_set_initial, > array_y2_higher, > array_y1_higher_work, > array_complex_pole, > array_poles, > array_real_pole, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > ALWAYS := 1; > glob_iolevel := 5; > DEBUGMASSIVE := 4; > INFO := 2; > DEBUGL := 3; > glob_max_terms := 30; > glob_start := 0; > glob_small_float := 0.1e-50; > glob_abserr := 0.1e-10; > glob_log10_abserr := 0.1e-10; > glob_large_float := 9.0e100; > sec_in_min := 60.0; > glob_warned := false; > glob_smallish_float := 0.1e-100; > glob_max_trunc_err := 0.1e-10; > glob_max_hours := 0.0; > glob_h := 0.1; > glob_reached_optimal_h := false; > years_in_century := 100.0; > glob_max_minutes := 0.0; > glob_normmax := 0.0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_expect_sec := 0.1; > glob_current_iter := 0; > glob_orig_start_sec := 0.0; > glob_unchanged_h_cnt := 0; > glob_not_yet_finished := true; > min_in_hour := 60.0; > glob_disp_incr := 0.1; > glob_clock_sec := 0.0; > centuries_in_millinium := 10.0; > djd_debug2 := true; > djd_debug := true; > glob_max_opt_iter := 10; > glob_warned2 := false; > glob_hmin_init := 0.001; > glob_hmax := 1.0; > glob_clock_start_sec := 0.0; > glob_subiter_method := 3; > glob_log10abserr := 0.0; > glob_dump_analytic := false; > glob_last_good_h := 0.1; > glob_percent_done := 0.0; > glob_log10relerr := 0.0; > MAX_UNCHANGED := 10; > glob_no_eqs := 0; > glob_log10_relerr := 0.1e-10; > glob_look_poles := false; > glob_hmin := 0.00000000001; > glob_not_yet_start_msg := true; > days_in_year := 365.0; > hours_in_day := 24.0; > glob_iter := 0; > glob_max_sec := 10000.0; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_iter := 1000; > glob_dump := false; > glob_curr_iter_when_opt := 0; > glob_optimal_done := false; > glob_almost_1 := 0.9990; > glob_display_flag := true; > glob_optimal_start := 0.0; > glob_relerr := 0.1e-10; > glob_initial_pass := true; > glob_html_log := true; > glob_log10normmin := 0.1; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 2; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/mtest7postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 5 ) = y1 ;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > omniout_str(ALWAYS,"max_terms := 30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.0;"); > omniout_str(ALWAYS,"x_end := 5.0;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);"); > omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 20;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y1 := proc(x)"); > omniout_str(ALWAYS,"1.0 + cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"-sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)"); > omniout_str(ALWAYS,"-cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pppp := proc(x)"); > omniout_str(ALWAYS,"sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > max_terms := 30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_fact_1:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_y2_init:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y1_init:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y2:= Array(0..(max_terms + 1),[]); > array_y1:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work2 := Array(0..(6+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work := Array(0..(6+ 1) ,(0..max_terms+ 1),[]); > array_y1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher := Array(0..(6+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_complex_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=max_terms do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=6 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=6 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=6 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_5[1] := 5; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while iiif <= glob_max_terms do # do number 2 > jjjf := 0; > while jjjf <= glob_max_terms do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3 > ; > iiif := iiif + 1; > od;# end do number 2 > ; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.0; > x_end := 5.0; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > array_y2_init[1 + 1] := exact_soln_y2p(x_start); > array_y2_init[2 + 1] := exact_soln_y2pp(x_start); > array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); > array_y2_init[4 + 1] := exact_soln_y2pppp(x_start); > glob_h := 0.00001; > glob_look_poles := true; > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y2_set_initial[1,1] := true; > array_y2_set_initial[1,2] := true; > array_y2_set_initial[1,3] := true; > array_y2_set_initial[1,4] := true; > array_y2_set_initial[1,5] := true; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_set_initial[2,30] := false; > if glob_html_log then # if number 3 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 3 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 5; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y2_higher[r_order,term_no] := array_y2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > order_diff := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y1_higher[r_order,term_no] := array_y1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > start_array_y2(); > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y2_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > start_array_y1(); > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y1_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > if glob_subiter_method = 1 then # if number 3 > atomall(); > elif glob_subiter_method = 2 then # if number 4 > subiter := 1; > while subiter <= 6 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 6 + glob_max_terms do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > fi;# end if 4 > ; > if (glob_look_poles) then # if number 4 > #left paren 0004C > check_for_pole(); > fi;# end if 4 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y2 > order_diff := 5; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 6; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[6,iii] := array_y2_higher[6,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 6; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 5; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 5; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 5; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 5; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 4; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 4; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 4; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 5; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 5; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 6; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 6; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 5; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 5; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y2_higher[ord,term_no] := array_y2_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > #Jump Series array_y1 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #END SUM AND ADJUST EQ =2 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y1_higher[ord,term_no] := array_y1_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 4 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 4 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 4 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y2 , x , 5 ) = y1 ;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 4 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-17T23:13:22-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest7") > ; > logitem_str(html_log_file,"diff ( y2 , x , 5 ) = y1 ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if glob_percent_done < 100.0 then # if number 5 > logitem_time(html_log_file,convfloat(glob_optimal_expect_sec)) > ; > 0 > else > logitem_str(html_log_file,"Done") > ; > 0 > fi;# end if 5 > ; > log_revs(html_log_file," 092 ") > ; > logitem_str(html_log_file,"mtest7 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest7 maple results") > ; > logitem_str(html_log_file,"Mostly affecting speed of factorials") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > logditto(html_log_file) > ; > logitem_float(html_log_file,array_1st_rel_error[2]) > ; > logitem_float(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_pole(html_log_file,array_type_pole[2]) > ; > if array_type_pole[2] = 1 or array_type_pole[2] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logditto(html_log_file) > ; > if glob_percent_done < 100.0 then # if number 5 > logditto(html_log_file) > ; > 0 > else > logditto(html_log_file) > ; > 0 > fi;# end if 5 > ; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logend(html_log_file) > ; > ; > fi;# end if 4 > ; > if glob_html_log then # if number 4 > fclose(html_log_file); > fi;# end if 4 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; Warning, `subiter` is implicitly declared local to procedure `mainprog` mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, subiter; global ALWAYS, glob_iolevel, DEBUGMASSIVE, INFO, DEBUGL, glob_max_terms, glob_start, glob_small_float, glob_abserr, glob_log10_abserr, glob_large_float, sec_in_min, glob_warned, glob_smallish_float, glob_max_trunc_err, glob_max_hours, glob_h, glob_reached_optimal_h, years_in_century, glob_max_minutes, glob_normmax, glob_optimal_clock_start_sec, glob_optimal_expect_sec, glob_current_iter, glob_orig_start_sec, glob_unchanged_h_cnt, glob_not_yet_finished, min_in_hour, glob_disp_incr, glob_clock_sec, centuries_in_millinium, djd_debug2, djd_debug, glob_max_opt_iter, glob_warned2, glob_hmin_init, glob_hmax, glob_clock_start_sec, glob_subiter_method, glob_log10abserr, glob_dump_analytic, glob_last_good_h, glob_percent_done, glob_log10relerr, MAX_UNCHANGED, glob_no_eqs, glob_log10_relerr, glob_look_poles, glob_hmin, glob_not_yet_start_msg, days_in_year, hours_in_day, glob_iter, glob_max_sec, glob_max_rel_trunc_err, glob_max_iter, glob_dump, glob_curr_iter_when_opt, glob_optimal_done, glob_almost_1, glob_display_flag, glob_optimal_start, glob_relerr, glob_initial_pass, glob_html_log, glob_log10normmin, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_fact_1, array_x, array_y2_init, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y1_init, array_pole, array_m1, array_y2, array_y1, array_norms, array_1st_rel_error, array_fact_2, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher_work, array_y1_set_initial, array_y1_higher, array_y2_set_initial, array_y2_higher, array_y1_higher_work, array_complex_pole, array_poles, array_real_pole, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; ALWAYS := 1; glob_iolevel := 5; DEBUGMASSIVE := 4; INFO := 2; DEBUGL := 3; glob_max_terms := 30; glob_start := 0; glob_small_float := 0.1*10^(-50); glob_abserr := 0.1*10^(-10); glob_log10_abserr := 0.1*10^(-10); glob_large_float := 0.90*10^101; sec_in_min := 60.0; glob_warned := false; glob_smallish_float := 0.1*10^(-100); glob_max_trunc_err := 0.1*10^(-10); glob_max_hours := 0.; glob_h := 0.1; glob_reached_optimal_h := false; years_in_century := 100.0; glob_max_minutes := 0.; glob_normmax := 0.; glob_optimal_clock_start_sec := 0.; glob_optimal_expect_sec := 0.1; glob_current_iter := 0; glob_orig_start_sec := 0.; glob_unchanged_h_cnt := 0; glob_not_yet_finished := true; min_in_hour := 60.0; glob_disp_incr := 0.1; glob_clock_sec := 0.; centuries_in_millinium := 10.0; djd_debug2 := true; djd_debug := true; glob_max_opt_iter := 10; glob_warned2 := false; glob_hmin_init := 0.001; glob_hmax := 1.0; glob_clock_start_sec := 0.; glob_subiter_method := 3; glob_log10abserr := 0.; glob_dump_analytic := false; glob_last_good_h := 0.1; glob_percent_done := 0.; glob_log10relerr := 0.; MAX_UNCHANGED := 10; glob_no_eqs := 0; glob_log10_relerr := 0.1*10^(-10); glob_look_poles := false; glob_hmin := 0.1*10^(-10); glob_not_yet_start_msg := true; days_in_year := 365.0; hours_in_day := 24.0; glob_iter := 0; glob_max_sec := 10000.0; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_iter := 1000; glob_dump := false; glob_curr_iter_when_opt := 0; glob_optimal_done := false; glob_almost_1 := 0.9990; glob_display_flag := true; glob_optimal_start := 0.; glob_relerr := 0.1*10^(-10); glob_initial_pass := true; glob_html_log := true; glob_log10normmin := 0.1; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 2; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/mtest7postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 5 ) = y1 ;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); omniout_str(ALWAYS, "max_terms := 30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.0;"); omniout_str(ALWAYS, "x_end := 5.0;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);") ; omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);") ; omniout_str(ALWAYS, "array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); omniout_str(ALWAYS, "array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 20;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y1 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tcos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tsin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "-sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)"); omniout_str(ALWAYS, "-cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pppp := proc(x)"); omniout_str(ALWAYS, "sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_fact_1 := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_y2_init := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y1_init := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y2 := Array(0 .. max_terms + 1, []); array_y1 := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); array_y1_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher_work2 := Array(0 .. 7, 0 .. max_terms + 1, []); array_y2_higher_work := Array(0 .. 7, 0 .. max_terms + 1, []); array_y1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_y1_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_y2_higher := Array(0 .. 7, 0 .. max_terms + 1, []); array_y1_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_complex_pole := Array(0 .. 3, 0 .. 4, []); array_poles := Array(0 .. 3, 0 .. 4, []); array_real_pole := Array(0 .. 3, 0 .. 4, []); term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_y2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 6 do term := 1; while term <= max_terms do array_y2_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 6 do term := 1; while term <= max_terms do array_y2_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y1_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 6 do term := 1; while term <= max_terms do array_y2_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[term] := 0.; term := term + 1 end do; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_5[term] := 0.; term := term + 1 end do; array_const_5[1] := 5; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.; x_end := 5.0; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); array_y2_init[2] := exact_soln_y2p(x_start); array_y2_init[3] := exact_soln_y2pp(x_start); array_y2_init[4] := exact_soln_y2ppp(x_start); array_y2_init[5] := exact_soln_y2pppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; glob_h := 0.001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y2_set_initial[1, 1] := true; array_y2_set_initial[1, 2] := true; array_y2_set_initial[1, 3] := true; array_y2_set_initial[1, 4] := true; array_y2_set_initial[1, 5] := true; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_set_initial[2, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 5; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y2_higher[r_order, term_no] := array_y2_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y1_higher[r_order, term_no] := array_y1_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); start_array_y2(); if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); start_array_y1(); if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 6 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 6 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 5; ord := 6; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[6, iii] := array_y2_higher[6, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 6; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 5; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 4; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 3; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 2; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 2; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 6; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 6; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y2 , x , 5 ) = y1 ;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-17T23:13:22-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest7") ; logitem_str(html_log_file, "diff ( y2 , x , 5 ) = y1 ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)) ; 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 092 "); logitem_str(html_log_file, "mtest7 diffeq.mxt"); logitem_str(html_log_file, "mtest7 maple results"); logitem_str(html_log_file, "Mostly affecting speed of factorials"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") ; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_float(html_log_file, array_1st_rel_error[2]); logitem_float(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_pole(html_log_file, array_type_pole[2]); if array_type_pole[2] = 1 or array_type_pole[2] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logditto(html_log_file); if glob_percent_done < 100.0 then logditto(html_log_file); 0 else logditto(html_log_file); 0 end if; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/mtest7postode.ode################# diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.0; x_end := 5.0; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); array_y2_init[1 + 1] := exact_soln_y2p(x_start); array_y2_init[2 + 1] := exact_soln_y2pp(x_start); array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); array_y2_init[4 + 1] := exact_soln_y2pppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) 1.0 + cos(x); end; exact_soln_y2 := proc(x) 1.0 + sin(x); end; exact_soln_y2p := proc(x) cos(x); end; exact_soln_y2pp := proc(x) -sin(x); end; exact_soln_y2ppp := proc(x) -cos(x); end; exact_soln_y2pppp := proc(x) sin(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y2[1] (analytic) = 1 y2[1] (numeric) = 1 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 2 y1[1] (numeric) = 2 absolute error = 0 relative error = 0 % h = 0.001 x[1] = 0 y2[1] (analytic) = 1 y2[1] (numeric) = 1 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 2 y1[1] (numeric) = 2 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.19 NO POLE NO POLE x[1] = 0.001 y2[1] (analytic) = 1.000999999833333341666666468254 y2[1] (numeric) = 1.0009999998333333499999998015818 absolute error = 8.3333333333278e-18 relative error = 8.3250083263889124059504671990056e-16 % h = 0.001 y1[1] (analytic) = 1.9999995000000416666652777778026 y1[1] (numeric) = 1.999999500000041666566666668254 absolute error = 9.86111095486e-20 relative error = 4.9305567100690747973406635604284e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.002 y2[1] (analytic) = 1.0019999986666669333333079365093 y2[1] (numeric) = 1.001999998831944729166655100476 absolute error = 1.652777958333471639667e-10 relative error = 1.6494790025277210943209607550535e-08 % h = 0.001 y1[1] (analytic) = 1.999998000000666666577777784127 y1[1] (numeric) = 1.9999980000006253469079861513044 absolute error = 4.13196697916328226e-14 relative error = 2.0659855555665080347480008190113e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.3MB, time=0.39 NO POLE NO POLE x[1] = 0.003 y2[1] (analytic) = 1.0029999955000020249995660714828 y2[1] (numeric) = 1.0029999968236006814929122497388 absolute error = 1.3235986564933461782560e-09 relative error = 1.3196397432021160023884493078566e-07 % h = 0.001 y1[1] (analytic) = 1.9999955000033749989875001627232 y1[1] (numeric) = 1.9999955000027135434962936196235 absolute error = 6.614554912065430997e-13 relative error = 3.3072848974181536477556270261122e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.4MB, time=0.59 NO POLE NO POLE x[1] = 0.004 y2[1] (analytic) = 1.0039999893333418666634158737383 y2[1] (numeric) = 1.0039999938068662670672394129151 absolute error = 4.4735244004038235391768e-09 relative error = 4.4557016413658064659089115652721e-07 % h = 0.001 y1[1] (analytic) = 1.9999920000106666609777794031743 y1[1] (numeric) = 1.9999920000073142764264977438751 absolute error = 3.3523845512816592992e-12 relative error = 1.6761989804278116377187893951737e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.5MB, time=0.79 NO POLE NO POLE x[1] = 0.005 y2[1] (analytic) = 1.0049999791666927083178323466521 y2[1] (numeric) = 1.0049999897817298669451452134589 absolute error = 1.06150371586273128668068e-08 relative error = 1.0562226247436236780016846626936e-06 % h = 0.001 y1[1] (analytic) = 1.9999875000260416449652874658951 y1[1] (numeric) = 1.9999875000154359447681403106044 absolute error = 1.06057001971471552907e-11 relative error = 5.3028832415247892739488815277114e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.5MB, time=0.99 NO POLE NO POLE x[1] = 0.006 y2[1] (analytic) = 1.0059999640000647999444571706286 y2[1] (numeric) = 1.005999984748191723189605279458 absolute error = 2.07481269232451481088294e-08 relative error = 2.0624381377456800435891146110489e-06 % h = 0.001 y1[1] (analytic) = 1.9999820000539999352000416571262 y1[1] (numeric) = 1.9999820000280869504099972259794 absolute error = 2.59129847900444311468e-11 relative error = 1.2956609004153424930906097548766e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.5MB, time=1.19 NO POLE NO POLE x[1] = 0.007 y2[1] (analytic) = 1.0069999428334733915032653889815 y2[1] (numeric) = 1.0069999787062521767045630209911 absolute error = 3.58727787852012976320096e-08 relative error = 3.5623416903344893666978959436858e-06 % h = 0.001 y1[1] (analytic) = 1.9999755001000415032654207539152 y1[1] (numeric) = 1.9999755000462756949254508672099 absolute error = 5.37658083399698867053e-11 relative error = 2.6883233488250454875322284474839e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.5MB, time=1.40 NO POLE NO POLE x[1] = 0.008 y2[1] (analytic) = 1.0079999146669397329172321158996 y2[1] (numeric) = 1.0079999716559115692167060262607 absolute error = 5.69889718362994739103611e-08 relative error = 5.6536683195186178875147666548153e-06 % h = 0.001 y1[1] (analytic) = 1.9999680001706663025781938790692 y1[1] (numeric) = 1.9999680000710105795463690313075 absolute error = 9.96557230318248477617e-11 relative error = 4.9828658770200710614849513301430e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.009 y2[1] (analytic) = 1.0089998785004920740509992819119 y2[1] (numeric) = 1.0089999635971702424584780880532 absolute error = 8.50966781684074788061413e-08 relative error = 8.4337649569266998120125138295541e-06 % h = 0.001 y1[1] (analytic) = 1.9999595002733742618885676260481 y1[1] (numeric) = 1.999959500103300005162888274934 absolute error = 1.700742567256793511141e-10 relative error = 8.5038850387936314789097267828873e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.5MB, time=1.59 NO POLE NO POLE x[1] = 0.01 y2[1] (analytic) = 1.0099998333341666646825424382691 y2[1] (numeric) = 1.0099999545300285381611015272896 absolute error = 1.211958618734785590890205e-07 relative error = 1.1999592264623663739043731218453e-05 % h = 0.001 y1[1] (analytic) = 1.9999500004166652777802579337522 y1[1] (numeric) = 1.9999500001441523723234132936183 absolute error = 2.725129054568446401339e-10 relative error = 1.3625985919651485689716508089017e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.5MB, time=1.80 NO POLE NO POLE x[1] = 0.011 y2[1] (analytic) = 1.0109997781680087544668376486582 y2[1] (numeric) = 1.0109999444544867980543496025559 absolute error = 1.662864780435875119538977e-07 relative error = 1.6447726461909657470481741332852e-05 % h = 0.001 y1[1] (analytic) = 1.9999395006100392061705942111311 y1[1] (numeric) = 1.9999395001945760812346182707454 absolute error = 4.154631249359759403857e-10 relative error = 2.0773784647447970772656854159538e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.5MB, time=2.00 NO POLE NO POLE x[1] = 0.012 y2[1] (analytic) = 1.0119997120020735928905285046671 y2[1] (numeric) = 1.011999933370545363866375170521 absolute error = 2.213684717709758466658539e-07 relative error = 2.1874361143150430211618578300306e-05 % h = 0.001 y1[1] (analytic) = 1.9999280008639958528106642115087 y1[1] (numeric) = 1.9999280002555795317614484124028 absolute error = 6.084163210492157991059e-10 relative error = 3.0421911228122799808251957340819e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.5MB, time=2.21 NO POLE NO POLE x[1] = 0.013 y2[1] (analytic) = 1.0129996338364274292165933104141 y2[1] (numeric) = 1.0129999212782045773235398152828 absolute error = 2.874417771481069465048687e-07 relative error = 2.8375309086688294800085025624942e-05 % h = 0.001 y1[1] (analytic) = 1.9999155011900349627855091564792 y1[1] (numeric) = 1.9999155003281711234271216532186 absolute error = 8.618638393583875032606e-10 relative error = 4.3095012706563941568312828999820e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.6MB, time=2.41 NO POLE NO POLE x[1] = 0.014 y2[1] (analytic) = 1.0139995426711485124180124917603 y2[1] (numeric) = 1.0139999081774647801502429817928 absolute error = 3.655063162677322304900325e-07 relative error = 3.6046004054882503141165335663424e-05 % h = 0.001 y1[1] (analytic) = 1.9999020016006562090143796091782 y1[1] (numeric) = 1.9999020004133592554131305330675 absolute error = 1.1872969536012490761107e-09 relative error = 5.9367756652624748267560838181079e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.6MB, time=2.61 NO POLE NO POLE x[1] = 0.015 y2[1] (analytic) = 1.0149994375063280910994362965188 y2[1] (numeric) = 1.014999894068326314068751109486 absolute error = 4.565619982229693148129672e-07 relative error = 4.4981502585327575056067198866108e-05 % h = 0.001 y1[1] (analytic) = 1.9998875021093591797510635966712 y1[1] (numeric) = 1.999887500512152326559244244643 absolute error = 1.5972068531918193520282e-09 relative error = 7.9864834972326349564482818838924e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.016 y2[1] (analytic) = 1.0159993173420714134058528640785 y2[1] (numeric) = 1.0159998789507895207990267660826 absolute error = 5.616087181073931739020041e-07 relative error = 5.5276485773297829661454293743965e-05 % h = 0.001 y1[1] (analytic) = 1.9998720027306433650842994811316 y1[1] (numeric) = 1.9998720006255587353635108518962 absolute error = 2.1050846297207886292354e-09 relative error = 1.0526096804427918333327261786446e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.6MB, time=2.82 NO POLE NO POLE x[1] = 0.017 y2[1] (analytic) = 1.0169991811784987269172567558558 y2[1] (numeric) = 1.0169998628248547420585577815628 absolute error = 6.816463560151413010257070e-07 relative error = 6.7025261045466079224559575407612e-05 % h = 0.001 y1[1] (analytic) = 1.9998555034800081424382870793928 y1[1] (numeric) = 1.9998555007545868799822596793406 absolute error = 2.7254212624560274000522e-09 relative error = 1.3628090918136038648552014819672e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.6MB, time=3.02 NO POLE NO POLE x[1] = 0.018 y2[1] (analytic) = 1.0179990280157462785283180519899 y2[1] (numeric) = 1.0179998456905223195621863823135 absolute error = 8.176747760410338683303236e-07 relative error = 8.0321763924944158165133710031241e-05 % h = 0.001 y1[1] (analytic) = 1.9998380043739527610733115303631 y1[1] (numeric) = 1.9998380009002451582301038722224 absolute error = 3.4737076028432076581407e-09 relative error = 1.7369944941768662233474190586745e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.6MB, time=3.22 NO POLE NO POLE x[1] = 0.019 y2[1] (analytic) = 1.0189988568539673143120521346968 y2[1] (numeric) = 1.0189998275477925950219383254471 absolute error = 9.706938252807098861907503e-07 relative error = 9.5259559787692674489745214715422e-05 % h = 0.001 y1[1] (analytic) = 1.9998195054299763255864954096783 y1[1] (numeric) = 1.9998195010635419675799431275574 absolute error = 4.3664343580065522821209e-09 relative error = 2.1834142262092477470371340095597e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.6MB, time=3.43 NO POLE NO POLE x[1] = 0.02 y2[1] (analytic) = 1.019998666693333079366490294693 y2[1] (numeric) = 1.0199998083966659101468520332933 absolute error = 1.1417033328307803617386003e-06 relative error = 0.00011193184561034708743203740084969 % h = 0.001 y1[1] (analytic) = 1.9998000066665777784126955908375 y1[1] (numeric) = 1.9998000012454857051629665960327 absolute error = 5.4210920732497289948048e-09 relative error = 2.7108171092998579320959234437231e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.6MB, time=3.63 NO POLE NO POLE x[1] = 0.021 y2[1] (analytic) = 1.0209984565340338176433513141045 y2[1] (numeric) = 1.0209997882371426066428077280624 absolute error = 1.3317031087889994564139579e-06 relative error = 0.00013043145170950693342106619336485 % h = 0.001 y1[1] (analytic) = 1.9997795081032558813255623519248 y1[1] (numeric) = 1.9997795014470847677686559547744 absolute error = 6.6561711135569063971504e-09 relative error = 3.3284525051814982895992394094232e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.6MB, time=3.84 NO POLE NO POLE x[1] = 0.022 y2[1] (analytic) = 1.0219982253762797717577141972713 y2[1] (numeric) = 1.0219997670692230262123565666815 absolute error = 1.5416929432544546423694102e-06 relative error = 0.00015085084347253474269550416925577 % h = 0.001 y1[1] (analytic) = 1.9997580097605091959387792268559 y1[1] (numeric) = 1.9997580016693475518447886509802 absolute error = 8.0911616440939905758757e-09 relative error = 4.0460703768167365528931306815332e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.023 y2[1] (analytic) = 1.0229979722203021827776922398578 y2[1] (numeric) = 1.0229997448929075105545497758026 absolute error = 1.7726726053277768575359448e-06 relative error = 0.00017328212307991091091110919967234 % h = 0.001 y1[1] (analytic) = 1.9997355116598360632075030999076 y1[1] (numeric) = 1.9997355019132824534974413164173 absolute error = 9.7465536097100617834903e-09 relative error = 4.8739213525393422419689938551538e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.6MB, time=4.04 NO POLE NO POLE x[1] = 0.024 y2[1] (analytic) = 1.0239976960663542899931086466788 y2[1] (numeric) = 1.0239997217081964013647677869833 absolute error = 2.0256418421113716591403045e-06 relative error = 0.00019781703121919051393933649644452 % h = 0.001 y1[1] (analytic) = 1.9997120138237345819300250420899 y1[1] (numeric) = 1.9997120021798978684909933527849 absolute error = 1.16438367134390316893050e-08 relative error = 5.8227567934516506584445324173780e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.6MB, time=4.24 NO POLE NO POLE x[1] = 0.025 y2[1] (analytic) = 1.0249973959147123306621739296497 y2[1] (numeric) = 1.0249996975150900403345493720396 absolute error = 2.3016003777096723754423899e-06 relative error = 0.00022454694879060777971333510582313 % h = 0.001 y1[1] (analytic) = 1.9996875162757025862496733876956 y1[1] (numeric) = 1.9996875024702021922481306879418 absolute error = 1.38055003940015426997538e-08 relative error = 6.9038288640784509587858157250322e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.6MB, time=4.46 NO POLE NO POLE x[1] = 0.026 y2[1] (analytic) = 1.0259970707656765397351653392646 y2[1] (numeric) = 1.0259996723135887691514207785712 absolute error = 2.6015479122294162554393066e-06 relative error = 0.00025356289860437365843093026822429 % h = 0.001 y1[1] (analytic) = 1.9996620190402376221569815491257 y1[1] (numeric) = 1.9996620027852038198498497029983 absolute error = 1.62550338023071318461274e-08 relative error = 8.1288906062780225348454489309818e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.6MB, time=4.66 NO POLE NO POLE x[1] = 0.027 y2[1] (analytic) = 1.0269967196195721495541086060083 y2[1] (numeric) = 1.0269996461036929294987248656588 absolute error = 2.9264841207799446162596505e-06 relative error = 0.00028495554706971166165976507079179 % h = 0.001 y1[1] (analytic) = 1.9996355221428369229921440678172 y1[1] (numeric) = 1.9996355031259111460354613302727 absolute error = 1.90169257769566827375445e-08 relative error = 9.5101960164109725199751730739454e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.6MB, time=4.87 NO POLE NO POLE x[1] = 0.028 y2[1] (analytic) = 1.0279963414767503895274622921028 y2[1] (numeric) = 1.0279996188854028630554502397341 absolute error = 3.2774086524735279879476313e-06 relative error = 0.00031881520587567687189487389083752 % h = 0.001 y1[1] (analytic) = 1.9996080256099973839477853988185 y1[1] (numeric) = 1.9996080034933325652025953221117 absolute error = 2.21166648187451900767068e-08 relative error = 1.1060500125767555836266680091334e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.6MB, time=5.07 NO POLE NO POLE x[1] = 0.029 y2[1] (analytic) = 1.0289959353375894857788050789868 y2[1] (numeric) = 1.0289995906587189114960603906218 absolute error = 3.6553211294257172553116350e-06 relative error = 0.00035523183366380275688099614104676 % h = 0.001 y1[1] (analytic) = 1.9995795294692155355720669262393 y1[1] (numeric) = 1.9995795038884764714072046905753 absolute error = 2.55807390641648622356640e-08 relative error = 1.2793059084254187804220401781241e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.03 y2[1] (analytic) = 1.0299955002024956607685263419263 y2[1] (numeric) = 1.0299995614236414164903228277538 absolute error = 4.0612211457557217964858275e-06 relative error = 0.00039429503769262015751842083884483 % h = 0.001 y1[1] (analytic) = 1.9995500337489875162721587064666 y1[1] (numeric) = 1.9995500043123512583635703179852 absolute error = 2.94366362579085883884814e-08 relative error = 1.4721630247339887950705363455583e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.6MB, time=5.27 NO POLE NO POLE x[1] = 0.031 y2[1] (analytic) = 1.0309950350719041328875203901453 y2[1] (numeric) = 1.0309995311801707197031382165563 absolute error = 4.4961082665868156178264110e-06 relative error = 0.00043609407549409255440968590088791 % h = 0.001 y1[1] (analytic) = 1.999519538478809043818103435673 y1[1] (numeric) = 1.9995195047659653194443057383369 absolute error = 3.37128437243737976973361e-08 relative error = 1.6860472266263422274798926874302e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.6MB, time=5.48 NO POLE NO POLE x[1] = 0.032 y2[1] (analytic) = 1.0319945389462801160218847788703 y2[1] (numeric) = 1.0319994999283071627943695150085 absolute error = 4.9609820270467724847361382e-06 relative error = 0.00048071785652201145606273844330621 % h = 0.001 y1[1] (analytic) = 1.99948804368917538584710113775 y1[1] (numeric) = 1.9994880052503270476803620895755 absolute error = 3.84388483381667390481745e-08 relative error = 1.9224345181501939864341084754362e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.6MB, time=5.68 NO POLE NO POLE x[1] = 0.033 y2[1] (analytic) = 1.0329940108261198190876231286692 y2[1] (numeric) = 1.0329994676680510874186711103739 absolute error = 5.4568419312683310479817047e-06 relative error = 0.00052825494379239549143199211981077 % h = 0.001 y1[1] (analytic) = 1.9994555494115813293682440683808 y1[1] (numeric) = 1.9994555057664448357610332367349 absolute error = 4.36451364936072108316459e-08 relative error = 2.1828510519501928399159723640856e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.6MB, time=5.89 NO POLE NO POLE x[1] = 0.034 y2[1] (analytic) = 1.033993449711951445534352917468 y2[1] (numeric) = 1.0339994343994028352253179561041 absolute error = 5.9846874513896909650386361e-06 relative error = 0.00057879355551593653083997909481782 % h = 0.001 y1[1] (analytic) = 1.9994220556785211492677323305128 y1[1] (numeric) = 1.99942200631532707603396106594 absolute error = 4.93631940732337712645728e-08 relative error = 2.4688731392673341730270021651003e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.6MB, time=6.10 NO POLE NO POLE x[1] = 0.035 y2[1] (analytic) = 1.0349928546043361928170187416202 y2[1] (numeric) = 1.0349994001223627478580347089145 absolute error = 6.5455180265550410159672943e-06 relative error = 0.00063242156672253590236697217772591 % h = 0.001 y1[1] (analytic) = 1.9993875625234885758146016960142 y1[1] (numeric) = 1.9993875068979821605051409492721 absolute error = 5.56255064153094607467421e-08 relative error = 2.7821272602647781388285047182236e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=118.2MB, alloc=4.6MB, time=6.30 x[1] = 0.036 y2[1] (analytic) = 1.0359922245038692518346115743976 y2[1] (numeric) = 1.0359993648369311669548248660326 absolute error = 7.1403330619151202132916350e-06 relative error = 0.00068922651087797351551211952820665 % h = 0.001 y1[1] (analytic) = 1.9993520699809767611669961277823 y1[1] (numeric) = 1.9993520075154184808389273804967 absolute error = 6.24655582803280687472856e-08 relative error = 3.1242900746801642549142354245994e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.037 y2[1] (analytic) = 1.0369915584111808063348945832681 y2[1] (numeric) = 1.0369993285431084341477999026186 absolute error = 7.7701319276278129053193505e-06 relative error = 0.00074929558149275245030545502552325 % h = 0.001 y1[1] (analytic) = 1.9993155780864782448790184960284 y1[1] (numeric) = 1.9993155081686444283580397816547 absolute error = 6.99178338165209787143737e-08 relative error = 3.4970884328045163671413748243291e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.6MB, time=6.50 NO POLE NO POLE x[1] = 0.038 y2[1] (analytic) = 1.0379908553269370322841361013175 y2[1] (numeric) = 1.0379992912408948910630084093581 absolute error = 8.4359139578587788723080406e-06 relative error = 0.00081271563372316131807387911656104 % h = 0.001 y1[1] (analytic) = 1.9992780868764849184081939818869 y1[1] (numeric) = 1.9992780088586683940435684805154 absolute error = 7.80178165243646255013715e-08 relative error = 3.9022993867878347717277331431206e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.6MB, time=6.71 NO POLE NO POLE x[1] = 0.039 y2[1] (analytic) = 1.038990114251841097200850383165 y2[1] (numeric) = 1.0389992529302908793202652302272 absolute error = 9.1386784497821194148470622e-06 relative error = 0.00087957318596459644972419307881548 % h = 0.001 y1[1] (analytic) = 1.9992395963884879886235816608806 y1[1] (numeric) = 1.9992395095864987685349808588922 absolute error = 8.68019892200886008019884e-08 relative error = 4.3417502022714751579041683725499e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.6MB, time=6.91 NO POLE NO POLE x[1] = 0.04 y2[1] (analytic) = 1.0399893341866341594525468117159 y2[1] (numeric) = 1.03999921361129674053298060043 absolute error = 9.8794246625810804337887141e-06 relative error = 0.00094995442143718571869094941830286 % h = 0.001 y1[1] (analytic) = 1.9992001066609779403145707581291 y1[1] (numeric) = 1.9992000103531439421301276718205 absolute error = 9.63078339981844430863086e-08 relative error = 4.8173183703474169055286553679050e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.6MB, time=7.12 NO POLE NO POLE x[1] = 0.041 y2[1] (analytic) = 1.0409885141320963675144882590847 y2[1] (numeric) = 1.0409991732839128163079892845082 absolute error = 1.06591518164487935010254235e-05 relative error = 0.0010239451897637555585947770355071 % h = 0.001 y1[1] (analytic) = 1.9991596177334444977003990664996 y1[1] (numeric) = 1.9991595111596123047852495375971 absolute error = 1.065738321929151495289025e-07 relative error = 5.3309316198445261455569941981558e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.6MB, time=7.32 NO POLE NO POLE x[1] = 0.042 y2[1] (analytic) = 1.0419876530890478591894593430143 y2[1] (numeric) = 1.0419991319481394482453797146233 absolute error = 1.14788590915890559203716090e-05 relative error = 0.0011016310085401824901565629652044 % h = 0.001 y1[1] (analytic) = 1.9991181296463765849404320181795 y1[1] (numeric) = 1.9991180120069122461149835986821 absolute error = 1.176394643388254484194974e-07 relative error = 5.8845679299419218660609190700561e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=141.1MB, alloc=4.6MB, time=7.52 x[1] = 0.043 y2[1] (analytic) = 1.0429867500583497607875453591051 y2[1] (numeric) = 1.0429990896039769779383231290108 absolute error = 1.23395456272171507777699057e-05 relative error = 0.0011830970648981702280031221009523 % h = 0.001 y1[1] (analytic) = 1.9990756424412622856452418993877 y1[1] (numeric) = 1.9990755128960521553923703534618 absolute error = 1.295452101302528715459259e-07 relative error = 6.4802555431095562226228250049959e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.044 y2[1] (analytic) = 1.0439858040409051862649227091604 y2[1] (numeric) = 1.0439990462514257469729027106068 absolute error = 1.32422105205607079800014464e-05 relative error = 0.0012684282170604931956695470094153 % h = 0.001 y1[1] (analytic) = 1.9990321561605888013885276971428 y1[1] (numeric) = 1.9990320138280404215488606588735 absolute error = 1.423325483798396670382693e-07 relative error = 7.1200729783761230894530262414944e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.6MB, time=7.73 NO POLE NO POLE x[1] = 0.045 y2[1] (analytic) = 1.0449848140376602363206616869384 y2[1] (numeric) = 1.044999001890486096927942725847 absolute error = 1.41878528258606072810389086e-05 relative error = 0.0013577089958887470363411734324724 % h = 0.001 y1[1] (analytic) = 1.998987670847842409219917066164 y1[1] (numeric) = 1.9989875148038854331743229038912 absolute error = 1.560439569760455941622728e-07 relative error = 7.8061490449244117665061996650428e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.6MB, time=7.93 NO POLE NO POLE x[1] = 0.046 y2[1] (analytic) = 1.0459837790496049974505425245932 y2[1] (numeric) = 1.0459989565211583693748376636378 absolute error = 1.51774715533719242951390446e-05 relative error = 0.00145102360642364646767297761064 % h = 0.001 y1[1] (analytic) = 1.9989421865475084181786929030993 y1[1] (numeric) = 1.9989420158245955785170503538729 absolute error = 1.707229128396616425492264e-07 relative error = 8.5406628560142256382540388765255e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.6MB, time=8.14 NO POLE NO POLE x[1] = 0.047 y2[1] (analytic) = 1.0469826980777745409568856460712 y2[1] (numeric) = 1.0469989101434429058773813745002 absolute error = 1.62120656683649204957284290e-05 relative error = 0.0015484559294179105913652807885862 % h = 0.001 y1[1] (analytic) = 1.9988957033050711248084880143524 y1[1] (numeric) = 1.9988955168911792454837686657684 absolute error = 1.864138918793247193485840e-07 relative error = 9.3258438432329884616371099603856e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.6MB, time=8.34 NO POLE NO POLE x[1] = 0.048 y2[1] (analytic) = 1.0479815701232499219133971177164 y2[1] (numeric) = 1.0479988627573400479915962098851 absolute error = 1.72926340901260781990921687e-05 relative error = 0.0016500895228617755320509962094076 % h = 0.001 y1[1] (analytic) = 1.9988482211670137676729923628071 y1[1] (numeric) = 1.9988480180046448216396435741881 absolute error = 2.031623689460333487886190e-07 relative error = 1.0163971771074163844105533454759e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.6MB, time=8.55 NO POLE NO POLE x[1] = 0.049 y2[1] (analytic) = 1.0489803941871591780840303313211 y2[1] (numeric) = 1.0489988143628501372655621616619 absolute error = 1.84201756909591815318303408e-05 relative error = 0.0017560076235011740454505224634478 % h = 0.001 y1[1] (analytic) = 1.9987997401808184808727183777409 y1[1] (numeric) = 1.9987995191660006942082887483322 absolute error = 2.210148177866644296294087e-07 relative error = 1.1057376751843616357602284955058e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=164.0MB, alloc=4.6MB, time=8.76 x[1] = 0.05 y2[1] (analytic) = 1.0499791692706783287948650008455 y2[1] (numeric) = 1.0499987649599735152392460017786 absolute error = 1.95956892951864443810009331e-05 relative error = 0.0018662931483486215026650508488456 % h = 0.001 y1[1] (analytic) = 1.9987502603949662465628708111565 y1[1] (numeric) = 1.9987500203762552500717738197808 absolute error = 2.400187109964910969913757e-07 relative error = 1.2008439260894045620879135870564e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.051 y2[1] (analytic) = 1.0509778943750323737580046010091 y2[1] (numeric) = 1.0509987145487105234443304220947 absolute error = 2.08201736781496863258210856e-05 relative error = 0.0019810286961868474258968859453825 % h = 0.001 y1[1] (analytic) = 1.9986997818589368464723686226592 y1[1] (numeric) = 1.9986995216364168757706325811435 absolute error = 2.602225199707017360415157e-07 relative error = 1.3019590152187627570700586025843e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.6MB, time=8.96 NO POLE NO POLE x[1] = 0.052 y2[1] (analytic) = 1.0519765685014962918464934239395 y2[1] (numeric) = 1.0519986631290615034040431743862 absolute error = 2.20946275652115575497504467e-05 relative error = 0.0021002965490652115207958266595952 % h = 0.001 y1[1] (analytic) = 1.9986483046232088124240673738526 y1[1] (numeric) = 1.9986480229474939575038713555698 absolute error = 2.816757148549201960182828e-07 relative error = 1.4093310674187000032320227259714e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.6MB, time=9.17 NO POLE NO POLE x[1] = 0.053 y2[1] (analytic) = 1.0529751906513960398192544790465 y2[1] (numeric) = 1.0529986107010267966329862105231 absolute error = 2.34200496307568137317314766e-05 relative error = 0.0022241786737889429220232518278951 % h = 0.001 y1[1] (analytic) = 1.9985958287392593758562316120275 y1[1] (numeric) = 1.998595524310494881128977537119 absolute error = 3.044287644947272540749085e-07 relative error = 1.5232132486074732591143892665131e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.6MB, time=9.38 NO POLE NO POLE x[1] = 0.054 y2[1] (analytic) = 1.0539737598261095509950495112643 y2[1] (numeric) = 1.0539985572646067446369648228187 absolute error = 2.47974384971936419153115544e-05 relative error = 0.0023527567234012411414899108730259 % h = 0.001 y1[1] (analytic) = 1.9985423542595644163453077216662 y1[1] (numeric) = 1.99854202572642803216192830199 absolute error = 3.285331363841833794196762e-07 relative error = 1.6438637674301423660759497837951e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.6MB, time=9.59 NO POLE NO POLE x[1] = 0.055 y2[1] (analytic) = 1.0549722750270677338744624637872 y2[1] (numeric) = 1.0549985028198016889128167845518 absolute error = 2.62277927339550383543207646e-05 relative error = 0.002486112038658276983049224570197 % h = 0.001 y1[1] (analytic) = 1.9984878812375984091300487209863 y1[1] (numeric) = 1.9984875271963017957771994906106 absolute error = 3.540412966133528492303757e-07 relative error = 1.7715458769462570537551482255185e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.6MB, time=9.79 NO POLE NO POLE x[1] = 0.056 y2[1] (analytic) = 1.0559707352557554707089077633976 y2[1] (numeric) = 1.055998447366611970948241490661 absolute error = 2.77121108565002393337272634e-05 relative error = 0.0026243256494971314632049224284272 % h = 0.001 y1[1] (analytic) = 1.9984324097278343716370434793934 y1[1] (numeric) = 1.9984320287211245568077746605861 absolute error = 3.810067098148292688188073e-07 relative error = 1.9065278763504361128963488523387e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=186.9MB, alloc=4.6MB, time=10.00 x[1] = 0.057 y2[1] (analytic) = 1.0569691395137126160156648594609 y2[1] (numeric) = 1.056998390905037932221629098611 absolute error = 2.92513913253162059642391501e-05 relative error = 0.0027674782764967105546099263711181 % h = 0.001 y1[1] (analytic) = 1.9983759397857438090077038303105 y1[1] (numeric) = 1.9983755303019046997451543105072 absolute error = 4.094838391092625495198033e-07 relative error = 2.0490831127258538941162954023472e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.058 y2[1] (analytic) = 1.0579674868025349950379405016371 y2[1] (numeric) = 1.0579983334350799142018896694315 absolute error = 3.08466325449191639491677944e-05 relative error = 0.0029156503323316733477824576503939 % h = 0.001 y1[1] (analytic) = 1.9983184714677966586267640523913 y1[1] (numeric) = 1.9983180319396506087393652746173 absolute error = 4.395281460498873987777740e-07 relative error = 2.1994899828306495812431108189924e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.6MB, time=10.20 NO POLE NO POLE x[1] = 0.059 y2[1] (analytic) = 1.0589657761238754021489602963286 y2[1] (numeric) = 1.0589982749567382583482823089286 absolute error = 3.24988328628561993220126000e-05 relative error = 0.00306892192321941100653539421681 % h = 0.001 y1[1] (analytic) = 1.9982600048314612336523481906139 y1[1] (numeric) = 1.9982595336353706675989702883379 absolute error = 4.711960905660533779022760e-07 relative error = 2.3580319349172749781088091715359e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.6MB, time=10.41 NO POLE NO POLE x[1] = 0.06 y2[1] (analytic) = 1.059964006479444599199091137857 y2[1] (numeric) = 1.0599982154700133061102443090679 absolute error = 3.42089905687069111531712109e-05 relative error = 0.0032273728503601136740960127007007 % h = 0.001 y1[1] (analytic) = 1.9982005399352041655476616871828 y1[1] (numeric) = 1.9982000353900732597910777246535 absolute error = 5.045451309057565839625293e-07 relative error = 2.5249974705847968381201010357842e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.6MB, time=10.61 NO POLE NO POLE x[1] = 0.061 y2[1] (analytic) = 1.0609621768710123138049961673291 y2[1] (numeric) = 1.0609981549749053989272202895305 absolute error = 3.59781038930851222241222014e-05 relative error = 0.0033910826113699622697755633273687 % h = 0.001 y1[1] (analytic) = 1.9981400768384903456143647905424 y1[1] (numeric) = 1.9981395372047667684413515013545 absolute error = 5.396337235771730132891879e-07 relative error = 2.7006801466641700565749453781019e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.6MB, time=10.82 NO POLE NO POLE x[1] = 0.062 y2[1] (analytic) = 1.0619602863004082375798239701208 y2[1] (numeric) = 1.061998093471414878228491339441 absolute error = 3.78071710066406486673693202e-05 relative error = 0.0035601304017074819003218700863444 % h = 0.001 y1[1] (analytic) = 1.9980786156017828655276862091243 y1[1] (numeric) = 1.9980780390804595763340211591385 absolute error = 5.765213232891936650499858e-07 relative error = 2.8853785771364983365374029848736e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.6MB, time=11.02 NO POLE NO POLE x[1] = 0.063 y2[1] (analytic) = 1.0629583337695230243034337818716 y2[1] (numeric) = 1.0629980309595420854330041592677 absolute error = 3.96971900190611295703773961e-05 relative error = 0.0037345951160930933957436213021885 % h = 0.001 y1[1] (analytic) = 1.9980161562865429568733364747094 y1[1] (numeric) = 1.9980155410181600659118921105703 absolute error = 6.152683828909614443641391e-07 relative error = 3.0793964350842992301345157704318e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=209.8MB, alloc=4.6MB, time=11.23 x[1] = 0.064 y2[1] (analytic) = 1.06395631828030928803165853285 y2[1] (numeric) = 1.0639979674392873619492002028954 absolute error = 4.16491589780739175416700454e-05 relative error = 0.003914555349921899266422587305772 % h = 0.001 y1[1] (analytic) = 1.9979526989552299296862814784865 y1[1] (numeric) = 1.9979520430188766192763560598993 absolute error = 6.559363533104099254185872e-07 relative error = 3.2830424546757907483998099416758e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.065 y2[1] (analytic) = 1.0649542388347826011436076215074 y2[1] (numeric) = 1.0649979029106510491748448198704 absolute error = 4.36640758684480312371983630e-05 relative error = 0.0041000894006697401667201172026636 % h = 0.001 y1[1] (analytic) = 1.9978882436713011099914376410286 y1[1] (numeric) = 1.9978875450836176181874015937348 absolute error = 6.985876834918040360472938e-07 relative error = 3.4966304331822170242621895664817e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.6MB, time=11.45 NO POLE NO POLE x[1] = 0.066 y2[1] (analytic) = 1.0659520944350224923260113700025 y2[1] (numeric) = 1.0659978373736334884968563978175 absolute error = 4.57429386109961708450278150e-05 relative error = 0.0042912752692925577400274401311692 % h = 0.001 y1[1] (analytic) = 1.9978227904992117763463511754871 y1[1] (numeric) = 1.9978220472133914440636249425796 absolute error = 7.432858203322827262329075e-07 relative error = 3.7204792330282308049701153353938e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.6MB, time=11.65 NO POLE NO POLE x[1] = 0.067 y2[1] (analytic) = 1.066949884083173444493609177435 y2[1] (numeric) = 1.0669977708282350212911355050299 absolute error = 4.78867450615767975263275949e-05 relative error = 0.0044881906616190995112961165726258 % h = 0.001 y1[1] (analytic) = 1.9977563395044150953859249013184 y1[1] (numeric) = 1.9977555494092064779822409132202 absolute error = 7.900952086174036839880982e-07 relative error = 3.9549127838753508421526691053374e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.6MB, time=11.85 NO POLE NO POLE x[1] = 0.068 y2[1] (analytic) = 1.0679476067814458926445834504817 y2[1] (numeric) = 1.0679977032744559889223940332307 absolute error = 5.00964930100962778105827490e-05 relative error = 0.0046909129897370012855061095611543 % h = 0.001 y1[1] (analytic) = 1.9976888907533620563692570638113 y1[1] (numeric) = 1.997688051672071100679093991975 absolute error = 8.390812909556901630718363e-07 relative error = 4.2002600847385125398550157950063e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.6MB, time=12.06 NO POLE NO POLE x[1] = 0.069 y2[1] (analytic) = 1.0689452615321172216500414560873 y2[1] (numeric) = 1.0689976347122967327439843405073 absolute error = 5.23731801795110939428844200e-05 relative error = 0.0048995193733722823042751026651745 % h = 0.001 y1[1] (analytic) = 1.9976204443135014047286576125715 y1[1] (numeric) = 1.9976195540029936925486696187993 absolute error = 8.903105077121799879937722e-07 relative error = 4.4568552061357305132495628360975e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.6MB, time=12.27 NO POLE NO POLE x[1] = 0.07 y2[1] (analytic) = 1.0699428473375327639765473068079 y2[1] (numeric) = 1.0699975651417575940977283944178 absolute error = 5.47178042248301211810876099e-05 relative error = 0.0051140866412622882078746805315918 % h = 0.001 y1[1] (analytic) = 1.9975510002532795746209083899397 y1[1] (numeric) = 1.9975500564029826336441056322476 absolute error = 9.438502969409768027576921e-07 relative error = 4.7250372922708920033193749162101e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=232.7MB, alloc=4.6MB, time=12.48 x[1] = 0.071 y2[1] (analytic) = 1.0709403632001067973407063563613 y2[1] (numeric) = 1.0709974945628389143137469152698 absolute error = 5.71313627321169730405589085e-05 relative error = 0.00533469133252211664628767466675 % h = 0.001 y1[1] (analytic) = 1.9974805586421406204808346780796 y1[1] (numeric) = 1.9974795588730463036772038852923 absolute error = 9.997690943168036307927873e-07 relative error = 5.0051505632497003856408554939889e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.072 y2[1] (analytic) = 1.0719378081223235422948043508805 y2[1] (numeric) = 1.0719974229755410347102885195712 absolute error = 5.96148532174924154841686907e-05 relative error = 0.0055614096980045601806072998971552 % h = 0.001 y1[1] (analytic) = 1.9974091195505261475772565511564 y1[1] (numeric) = 1.9974080614141930820184420319993 absolute error = 1.0581363330655588145191571e-06 relative error = 5.2975443173287883044619091279649e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.6MB, time=12.69 NO POLE NO POLE x[1] = 0.073 y2[1] (analytic) = 1.072935181106738159742503750316 y2[1] (numeric) = 1.0729973503798642965935588636538 absolute error = 6.21692731261368510551133378e-05 relative error = 0.0057943177016536009150336683186907 % h = 0.001 y1[1] (analytic) = 1.9973366830498752415713894766508 y1[1] (numeric) = 1.99733556402743134769698548506 absolute error = 1.1190224438938744039915908e-06 relative error = 5.6025729331980202565835159313409e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.6MB, time=12.89 NO POLE NO POLE x[1] = 0.074 y2[1] (analytic) = 1.0739324811559777483835997043727 y2[1] (numeric) = 1.073997276775809041257549787469 absolute error = 6.47956198312928739500830963e-05 relative error = 0.0060334910218514910999579403590727 % h = 0.001 y1[1] (analytic) = 1.9972632492126243970777646074002 y1[1] (numeric) = 1.9972620667137694794006995441795 absolute error = 1.1824988549176770650632207e-06 relative error = 5.9205958722960047431104397056888e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.6MB, time=13.10 NO POLE NO POLE x[1] = 0.075 y2[1] (analytic) = 1.0749297072727423420868382383092 y2[1] (numeric) = 1.0749972021633756099838684585556 absolute error = 6.74948906332678970302202464e-05 relative error = 0.0062790050527594537481298950880871 % h = 0.001 y1[1] (analytic) = 1.9971888181122074452277402034419 y1[1] (numeric) = 1.9971875694742158554761616953213 absolute error = 1.2486379915897515785081206e-06 relative error = 6.2519776811588364009444006707110e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.6MB, time=13.30 NO POLE NO POLE x[1] = 0.076 y2[1] (analytic) = 1.075926858459805907189799275864 y2[1] (numeric) = 1.07599712654256434404156651618 absolute error = 7.02680827584368517672403160e-05 relative error = 0.006530934905652037108672279779674 % h = 0.001 y1[1] (analytic) = 1.9971133898230554802356766201408 y1[1] (numeric) = 1.9971120723097788539286740808074 absolute error = 1.3175132766263070025393334e-06 relative error = 6.5970879938020888199540979393731e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.6MB, time=13.51 NO POLE NO POLE x[1] = 0.077 y2[1] (analytic) = 1.0769239337200173397248471995087 y2[1] (numeric) = 1.0769970499133755846869692156489 absolute error = 7.31161933582449621220161402e-05 relative error = 0.0067893554102451566477262027171241 % h = 0.001 y1[1] (analytic) = 1.9970369644205967849678482964197 y1[1] (numeric) = 1.9970355752214668524222761402744 absolute error = 1.3891991299325455721561453e-06 relative error = 6.9563015341360790460746360755173e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=255.5MB, alloc=4.6MB, time=13.71 x[1] = 0.078 y2[1] (analytic) = 1.0779209320563014625701517221612 y2[1] (numeric) = 1.0779969722758096731635045727943 absolute error = 7.60402195082105933528506331e-05 relative error = 0.0070543411160178579897774000654224 % h = 0.001 y1[1] (analytic) = 1.9969595419812567555141671741752 y1[1] (numeric) = 1.9969580782102882282797574224854 absolute error = 1.4637709685272344097516898e-06 relative error = 7.3299981184144250651679122306805e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.079 y2[1] (analytic) = 1.078917852471660022524781919421 y2[1] (numeric) = 1.0789968936298669507015325086302 absolute error = 7.90411582069281767505892092e-05 relative error = 0.0073259662935278340802148388096024 % h = 0.001 y1[1] (analytic) = 1.9968811225824578247627929771481 y1[1] (numeric) = 1.9968795812772513584826705679972 absolute error = 1.5413052064662801224091509e-06 relative error = 7.7185626577159178573189863055253e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.6MB, time=13.92 NO POLE NO POLE x[1] = 0.08 y2[1] (analytic) = 1.0799146939691726873068763473145 y2[1] (numeric) = 1.0799968139755477585181739941824 absolute error = 8.21200063750712112976468679e-05 relative error = 0.0076043049357207296374022791846381 % h = 0.001 y1[1] (analytic) = 1.9968017063026193849777067746335 y1[1] (numeric) = 1.9968000844233646196713444626824 absolute error = 1.6218792547653063623119511e-06 relative error = 8.1223851604597299063551257709955e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.6MB, time=14.13 NO POLE NO POLE x[1] = 0.081 y2[1] (analytic) = 1.0809114555519980424738922474652 y2[1] (numeric) = 1.0809967333128524378171401954903 absolute error = 8.52777608543953432479480251e-05 relative error = 0.0078894307592332657714916401817176 % h = 0.001 y1[1] (analytic) = 1.9967212932211577093793252524484 y1[1] (numeric) = 1.9967195876496363881448975621072 absolute error = 1.7055715213212344276903412e-06 relative error = 8.5418607349539823447577115433413e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.6MB, time=14.34 NO POLE NO POLE x[1] = 0.082 y2[1] (analytic) = 1.0819081362233745882639369195213 y2[1] (numeric) = 1.0819966516417813297885616187806 absolute error = 8.85154184067415246246992593e-05 relative error = 0.0081814172056902174573658851709033 % h = 0.001 y1[1] (analytic) = 1.9966398834184858727282341105376 y1[1] (numeric) = 1.9966380909570750398612513867637 absolute error = 1.7924614108328669827237739e-06 relative error = 8.9773895919776932097963048292402e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.6MB, time=14.55 NO POLE NO POLE x[1] = 0.083 y2[1] (analytic) = 1.0829047349866217363571844195929 y2[1] (numeric) = 1.0829965689623347756088172558141 absolute error = 9.18339757130392516328362212e-05 relative error = 0.0084803374429952763604603256909529 % h = 0.001 y1[1] (analytic) = 1.9965574769760136709121200034776 y1[1] (numeric) = 1.9965555943466889504371441881572 absolute error = 1.8826293247204749758153204e-06 relative error = 9.4293770473961295826525057157820e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.6MB, time=14.76 NO POLE NO POLE x[1] = 0.084 y2[1] (analytic) = 1.0839012508451408065563808233651 y2[1] (numeric) = 1.0839964852745131164403637294041 absolute error = 9.52344293723098839829060390e-05 relative error = 0.0087862643666158313267664482511995 % h = 0.001 y1[1] (analytic) = 1.9964740739761475395359814369392 y1[1] (numeric) = 1.9964720978194864951481447857476 absolute error = 1.9761566610443878366511916e-06 relative error = 9.8982335248095866785225580499516e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=278.4MB, alloc=4.6MB, time=14.96 x[1] = 0.085 y2[1] (analytic) = 1.0848976828024160233854413734644 y2[1] (numeric) = 1.0849964005783166934315644391072 absolute error = 9.87177759006700461230656428e-05 relative error = 0.0090992706008616986620633818523011 % h = 0.001 y1[1] (analytic) = 1.9963896745022904715157000298915 y1[1] (numeric) = 1.9963876013764760489286665747459 absolute error = 2.0731258144225870334551456e-06 relative error = 0.00010384374558235617252195649561015 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.086 y2[1] (analytic) = 1.0858940298620155126051429125651 y2[1] (numeric) = 1.0859963148737458477165187070869 absolute error = 0.0001022850117303351113757945218 relative error = 0.0094194285001578341403407830189099 % h = 0.001 y1[1] (analytic) = 1.99630427863884193367505454897 y1[1] (numeric) = 1.9963021050186659863719817047642 absolute error = 2.1736201759473030728442058e-06 relative error = 0.00010888220794824734980403265424035 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.6MB, time=15.17 NO POLE NO POLE x[1] = 0.087 y2[1] (analytic) = 1.0868902910275922976449150866258 y2[1] (numeric) = 1.0869962281608009204148909241489 absolute error = 0.0001059371332086227699758375231 relative error = 0.0097468101503110584974651227509589 % h = 0.001 y1[1] (analytic) = 1.9962178864711977823462611179861 y1[1] (numeric) = 1.9962156087470646817302354293204 absolute error = 2.2777241331006160256886657e-06 relative error = 0.00011410197997609615779327436017079 % h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.6MB, time=15.37 NO POLE NO POLE x[1] = 0.088 y2[1] (analytic) = 1.0878864653028852959497338865477 y2[1] (numeric) = 1.0879961404394822526317396959492 absolute error = 0.0001096751365969566820058094015 relative error = 0.010081487369770827983391078086427 % h = 0.001 y1[1] (analytic) = 1.9961304980857501779741240020321 y1[1] (numeric) = 1.9961281125626805089144606261961 absolute error = 2.3855230696690596633758360e-06 relative error = 0.00011950737048287821313046098238989 % h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.6MB, time=15.58 NO POLE NO POLE x[1] = 0.089 y2[1] (analytic) = 1.0888825516917203152411211814445 y2[1] (numeric) = 1.0889960517097901854573469893738 absolute error = 0.0001135000180698702162258079293 relative error = 0.010423531710884081364622981233744 % h = 0.001 y1[1] (analytic) = 1.9960421135698874987238823620237 y1[1] (numeric) = 1.996039616466521841494592488649 absolute error = 2.4971033656572292898733747e-06 relative error = 0.00012510273950038069246385688885468 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.6MB, time=15.78 NO POLE NO POLE x[1] = 0.09 y2[1] (analytic) = 1.0898785491980110496912539826071 y2[1] (numeric) = 1.0899959619717250599670472790917 absolute error = 0.0001174127737140102757932964846 relative error = 0.010773014461144194588180143729377 % h = 0.001 y1[1] (analytic) = 1.9959527330119942530928393718251 y1[1] (numeric) = 1.9959501204595970526994833874781 absolute error = 2.6125523972003933559843470e-06 relative error = 0.00013089249830370075093648325640878 % h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.6MB, time=15.99 NO POLE NO POLE x[1] = 0.091 y2[1] (analytic) = 1.0908744568257600760091872641378 y2[1] (numeric) = 1.0909958712252872172210566942793 absolute error = 0.0001214143995271412118694301415 relative error = 0.011130006644434074139006490588397 % h = 0.001 y1[1] (analytic) = 1.9958623565014509915258610863215 y1[1] (numeric) = 1.9958596245429145154169179039426 absolute error = 2.7319585364761089431823789e-06 relative error = 0.00013688110944007990812987201610512 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=301.3MB, alloc=4.6MB, time=16.19 x[1] = 0.092 y2[1] (analytic) = 1.0918702735790598494381942541119 y2[1] (numeric) = 1.0919957794704769982643021655174 absolute error = 0.0001255058914171488261079114055 relative error = 0.011494579022263419944581510259393 % h = 0.001 y1[1] (analytic) = 1.9957709841286342170348334449319 y1[1] (numeric) = 1.9957681287174826021936280335341 absolute error = 2.8554111516148412054113978e-06 relative error = 0.00014307308675807465594822880224605 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.093 y2[1] (analytic) = 1.0928659984620936996632281990127 y2[1] (numeric) = 1.0929956867072947441262505718608 absolute error = 0.0001296882452010444630223728481 relative error = 0.011866802095000188503428304590044 % h = 0.001 y1[1] (analytic) = 1.9956786159849162948221667910982 y1[1] (numeric) = 1.9956756329843096852353085606015 absolute error = 2.9830006066095868582304967e-06 relative error = 0.00014947299543706354591628792850461 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.6MB, time=16.39 NO POLE NO POLE x[1] = 0.094 y2[1] (analytic) = 1.0938616304791368266275096940581 y2[1] (numeric) = 1.0939955929357407958207378880799 absolute error = 0.0001339624566039691932281940218 relative error = 0.012246746103096286738267825227108 % h = 0.001 y1[1] (analytic) = 1.9955852521626653609084382842383 y1[1] (numeric) = 1.9955821373444041364066326038292 absolute error = 3.1148182612245018056804091e-06 relative error = 0.00015608545201709101635670139410642 % h = 0.001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.6MB, time=16.60 NO POLE NO POLE x[1] = 0.095 y2[1] (analytic) = 1.0948571686345572962572437629159 y2[1] (numeric) = 1.0949954981558154943457983320743 absolute error = 0.0001383295212581980885545691584 relative error = 0.012634481028307526899728577811941 % h = 0.001 y1[1] (analytic) = 1.9954908927552452297642635765136 y1[1] (numeric) = 1.9954876417987743272312673325673 absolute error = 3.2509564709025329962439463e-06 relative error = 0.00016291512442904822290860374168676 % h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.6MB, time=16.80 NO POLE NO POLE x[1] = 0.096 y2[1] (analytic) = 1.0958526119328170360934709621744 y2[1] (numeric) = 1.0959954023675191806834935124595 absolute error = 0.0001427904347021445900225502851 relative error = 0.013030076594907872672780591872659 % h = 0.001 y1[1] (analytic) = 1.9953955378570153009464901225307 y1[1] (numeric) = 1.9953921463484286288918898540151 absolute error = 3.3915085866720546002685156e-06 relative error = 0.0001699667320251911388480723737141 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.6MB, time=17.01 NO POLE NO POLE x[1] = 0.097 y2[1] (analytic) = 1.0968479593784728308300568787975 y2[1] (numeric) = 1.0969953055708521957997415763252 absolute error = 0.0001473461923793649696846975277 relative error = 0.013433602270898006465413775410679 % h = 0.001 y1[1] (analytic) = 1.9952991875633304647388054857769 y1[1] (numeric) = 1.9952956509943754122302032712562 absolute error = 3.5365689550525086022145207e-06 relative error = 0.00017724504560999619467359715743364 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.6MB, time=17.23 NO POLE NO POLE x[1] = 0.098 y2[1] (analytic) = 1.0978432099761773177568244826618 y2[1] (numeric) = 1.0979952077658148806441463571662 absolute error = 0.0001519977896375628873218745044 relative error = 0.013845127269208247687516437709479 % h = 0.001 y1[1] (analytic) = 1.9952018419705410067968550011736 y1[1] (numeric) = 1.9951981557376230477469529121461 absolute error = 3.6862329179590499020890275e-06 relative error = 0.00018475488747135372942542079841073 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.099 y2[1] (analytic) = 1.0988383627306799821068338911219 y2[1] (numeric) = 1.0989951089524075761498265229855 absolute error = 0.0001567462217275940429926318636 relative error = 0.014264720548895851657422367775939 % h = 0.001 y1[1] (analytic) = 1.9951035011759925117979641486209 y1[1] (numeric) = 1.995099660579179905601942729052 absolute error = 3.8405968126061960214195689e-06 relative error = 0.00019250113141209952921675090411032 % h = 0.001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.6MB, time=17.43 NO POLE NO POLE x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0999950091306306232332447245698 absolute error = 0.0001615924838024709264305261592 relative error = 0.014692450816336718604177045931486 % h = 0.001 y1[1] (analytic) = 1.9950041652780257660955619878039 y1[1] (numeric) = 1.995000165520054355614051869444 absolute error = 3.9997579714104815101183599e-06 relative error = 0.00020048870278188473146741378238677 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.6MB, time=17.64 NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.1009949083004843627940367439371 absolute error = 0.0001665375709163676642846244139 relative error = 0.01512838652641154206521804837193 % h = 0.001 y1[1] (analytic) = 1.994903834375976659378402999829 y1[1] (numeric) = 1.9948996705612547672612514173381 absolute error = 4.1638147218921171515824909e-06 relative error = 0.00020872257850938437634655641360326 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.6MB, time=17.84 NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.1018232239839455107486422960806 y2[1] (numeric) = 1.1019948064619691357148406429569 absolute error = 0.0001715824780236249661983468763 relative error = 0.015572595883686425811864234745912 % h = 0.001 y1[1] (analytic) = 1.9948025085701760853346856764599 y1[1] (numeric) = 1.9947981757037895096806213055907 absolute error = 4.3328663865756540643708692e-06 relative error = 0.00021720778713484488995054509847055 % h = 0.001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.6MB, time=18.05 NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.1029947036150852828611259121424 absolute error = 0.0001767281999777551707217016378 relative error = 0.016025146843587998268755698470556 % h = 0.001 y1[1] (analytic) = 1.9947001879619498413211671928266 y1[1] (numeric) = 1.9946956809486669516683673990444 absolute error = 4.5070132828896527997937822e-06 relative error = 0.0002259494088429707867652949392061 % h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.6MB, time=18.25 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1039945997598331450810226196153 absolute error = 0.0001819757315304473920518649458 relative error = 0.0164861071135730532281745730492 % h = 0.001 y1[1] (analytic) = 1.9945968726536185270373744944846 y1[1] (numeric) = 1.9945921862968954616798387485248 absolute error = 4.6863567230653575357459598e-06 relative error = 0.00023495257549615088198893170258999 % h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.6MB, time=18.46 NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1049944948962130632051505602425 absolute error = 0.0001873260673305727685969602157 relative error = 0.016955544154292745495998540311218 % h = 0.001 y1[1] (analytic) = 1.9944925627484974422050131246041 y1[1] (numeric) = 1.9944876917494834078295450156884 absolute error = 4.8709990140343754681089157e-06 relative error = 0.00024422247066802430732097487409243 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1059943890242253780464484049455 absolute error = 0.0001927802019231898143577869268 relative error = 0.017433525180751369942887248956253 % h = 0.001 y1[1] (analytic) = 1.9943872583508964832526761118722 y1[1] (numeric) = 1.9943821973074391578911740687212 absolute error = 5.0610434573253615020431510e-06 relative error = 0.00025376432967738662685817631905944 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.6MB, time=18.66 NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.106994282143870430400002850182 absolute error = 0.0001983391297485498741221477655 relative error = 0.017920117163459752272169842731594 % h = 0.001 y1[1] (analytic) = 1.9942809595661200390059562343918 y1[1] (numeric) = 1.9942757029717710792976097488879 absolute error = 5.2565943489597083464855039e-06 relative error = 0.00026358343962243635277479105287087 % h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.6MB, time=18.87 NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1079941742551485610428777675993 absolute error = 0.0002040038451411026834663185677 relative error = 0.018415386829583279654782490274798 % h = 0.001 y1[1] (analytic) = 1.9941736665004668853830659694533 y1[1] (numeric) = 1.9941682087434875391409498079317 absolute error = 5.4577569793462421161615216e-06 relative error = 0.00027368513941536216350643338283255 % h = 0.001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.6MB, time=19.07 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.108994065358060110733943353861 absolute error = 0.0002097753423285020345581008056 relative error = 0.018919400664084599221491325553596 % h = 0.001 y1[1] (analytic) = 1.9940653792612300790960704335539 y1[1] (numeric) = 1.994059714623596904172524016324 absolute error = 5.6646376331749235464172299e-06 relative error = 0.00028407481981727113020182238267092 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.6MB, time=19.28 NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.1097783008371748086649494900834 y2[1] (numeric) = 1.109993955452605420213705280645 absolute error = 0.0002156546154306115487557905616 relative error = 0.019432224910861012243521722378858 % h = 0.001 y1[1] (analytic) = 1.9939560979566968503578396114198 y1[1] (numeric) = 1.9939502206131075408029124423644 absolute error = 5.8773435893095549271690554e-06 relative error = 0.00029475792347345826025568250162343 % h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.6MB, time=19.48 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1109938445387848302041338448145 absolute error = 0.0002216426584585105569972911376 relative error = 0.019953925573876591674592562676707 % h = 0.001 y1[1] (analytic) = 1.993845822696148494594827167072 y1[1] (numeric) = 1.9938397267130278151019639021309 absolute error = 6.0959831206794928632649411e-06 relative error = 0.0003057399449490176697888780525189 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=366.2MB, alloc=4.6MB, time=19.69 x[1] = 0.112 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1119937326165986814084931187606 absolute error = 0.0002277404653135000889734886554 relative error = 0.020484568418289050570217388957775 % h = 0.001 y1[1] (analytic) = 1.9937345535898602631657841241467 y1[1] (numeric) = 1.9937282329243660927988145802792 absolute error = 6.3206654941703669695438675e-06 relative error = 0.00031702643076479569999856200420773 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.1129936196860473145111701009182 absolute error = 0.000233949029786108972079901223 relative error = 0.021024218971571388743976380430407 % h = 0.001 y1[1] (analytic) = 1.9936222907491012530865166967484 y1[1] (numeric) = 1.9936157392481307392819068216921 absolute error = 6.5515009705138046098750563e-06 relative error = 0.00032862297943368629536174910096905 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.6MB, time=19.89 NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.113993505747131070177503866453 absolute error = 0.0002402693455551000411405024593 relative error = 0.021572942524628344865277330100912 % h = 0.001 y1[1] (analytic) = 1.9935090342861342957607985460685 y1[1] (numeric) = 1.9935022456853301195990080939782 absolute error = 6.7886008041761617904520903e-06 relative error = 0.00034053524149726896474031956342388 % h = 0.001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.6MB, time=20.10 NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.114993390799850289053614718122 absolute error = 0.0002467024061864764598975094023 relative error = 0.022130804132907681048903648868877 % h = 0.001 y1[1] (analytic) = 1.9933947843142158447175487318465 y1[1] (numeric) = 1.9933877522369725984572301208196 absolute error = 7.0320772432462603186110269e-06 relative error = 0.00035276891956278964950406117768766 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.6MB, time=20.31 NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1159932748442053117662333373052 absolute error = 0.0002532492051324881552608130544 relative error = 0.022697868617506326833386348980244 % h = 0.001 y1[1] (analytic) = 1.993279540947595862354387621489 y1[1] (numeric) = 1.9932722589040665402230481861689 absolute error = 7.2820435293221313394353201e-06 relative error = 0.00036532976834048482586100373772913 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.6MB, time=20.51 NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.1169931578801964789225299352103 absolute error = 0.0002599107357306383653106170644 relative error = 0.023274200566271409292928481656089 % h = 0.001 y1[1] (analytic) = 1.993163304301517705687684013279 y1[1] (numeric) = 1.993155765687620308922320609295 absolute error = 7.5386138973967653634039840e-06 relative error = 0.00037822359468124917166102894683857 % h = 0.001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.6MB, time=20.72 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.1179930399078241311099434042497 absolute error = 0.0002666879912026903020467362887 relative error = 0.023859864334896195876248184347608 % h = 0.001 y1[1] (analytic) = 1.99304607449221801110920772362 y1[1] (numeric) = 1.9930382725886422682403083906775 absolute error = 7.8019035757428688993329425e-06 relative error = 0.00039145625761464713101959076331508 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=389.1MB, alloc=4.6MB, time=20.93 x[1] = 0.119 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1189929209270886088960104695894 absolute error = 0.0002735819646536739298778922282 relative error = 0.024454924048010976415283944169028 % h = 0.001 y1[1] (analytic) = 1.9929278516369265781495028816522 y1[1] (numeric) = 1.9929197796081407815216950287498 absolute error = 8.0720287857966278078529024e-06 relative error = 0.00040503366838726871319339432481503 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.1199928009379902528281948408702 absolute error = 0.0002805936490708928608442265992 relative error = 0.02505944360026891059721656306156 % h = 0.001 y1[1] (analytic) = 1.9928086358538662522480981678576 y1[1] (numeric) = 1.9928002867471242117706065074905 absolute error = 8.3491067420404774916603671e-06 relative error = 0.00041896179050142986522909558634576 % h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.6MB, time=21.13 NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1209926799405294034337163641018 absolute error = 0.0002877240373229313675661375615 relative error = 0.025673486657426867044700320799487 % h = 0.001 y1[1] (analytic) = 1.9926884272622528065306712264356 y1[1] (numeric) = 1.992679794006600921650631454863 absolute error = 8.6332556518848800397715726e-06 relative error = 0.00043324663975421776099953782497446 % h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.6MB, time=21.34 NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.1219925579347064012193801737286 absolute error = 0.0002949741221586615149124254014 relative error = 0.026297116657421280001554724706133 % h = 0.001 y1[1] (analytic) = 1.992567225982294822593285474272 y1[1] (numeric) = 1.9925583013875792734848414721032 absolute error = 8.9245947155491084440021688e-06 relative error = 0.00044789428427688135233977420280882 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.6MB, time=21.55 NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.1229924349205215866714058448679 absolute error = 0.0003023448962062504113806157478 relative error = 0.026930396811439049474441805260184 % h = 0.001 y1[1] (analytic) = 1.9924450321351935702938185222573 y1[1] (numeric) = 1.9924358088910676292558116338547 absolute error = 9.2232441259410380068884026e-06 relative error = 0.00046291084457456753109717787385118 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.6MB, time=21.75 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1239923108979753002552565457206 absolute error = 0.0003098373519721675811822086877 relative error = 0.027573390104983510535236005727607 % h = 0.001 y1[1] (analytic) = 1.992321845843142886550702417515 y1[1] (numeric) = 1.9923123165180743506056411591522 absolute error = 9.5293250685359450612583628e-06 relative error = 0.00047830249356640325401635109223951 % h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.6MB, time=21.96 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.1249921858670678824154681901541 absolute error = 0.000317452481840192458025481442 relative error = 0.028226159298935497343878207302484 % h = 0.001 y1[1] (analytic) = 1.9921976672293290531490969077882 y1[1] (numeric) = 1.9921878242696077988359742532519 absolute error = 9.8429597212543131226545363e-06 relative error = 0.00049407545662592398549035284276364 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=411.9MB, alloc=4.6MB, time=22.17 x[1] = 0.126 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.1259920598277996735754785904575 absolute error = 0.0003251912780704220015883505658 relative error = 0.028888766930609527307486259581204 % h = 0.001 y1[1] (analytic) = 1.9920724964179306735546179218037 y1[1] (numeric) = 1.9920623321466763349080211203099 absolute error = 1.01642712543386465968014938e-05 relative error = 0.00051023601162184881632501001424093 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.1269919327801710141374566102688 absolute error = 0.0003330547327982784376736769453 relative error = 0.029561275314805130648365523771763 % h = 0.001 y1[1] (analytic) = 1.9919463335341185487347444518721 y1[1] (numeric) = 1.9919358401502883194425791469067 absolute error = 1.04933838302292921653049654e-05 relative error = 0.00052679048895920261978279954815532 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.6MB, time=22.37 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1279918047241822444821313176751 absolute error = 0.0003410438380335171230392731854 relative error = 0.030243746544853350511318402164595 % h = 0.001 y1[1] (analytic) = 1.9918191787040555519880280173089 y1[1] (numeric) = 1.9918083482814521127200542564199 absolute error = 1.08304226034392679737608890e-05 relative error = 0.00054374527162078560929702849871492 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.6MB, time=22.58 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.1289916756598337049686211384844 absolute error = 0.0003491595856592345358947483004 relative error = 0.030936242493658438599285682461153 % h = 0.001 y1[1] (analytic) = 1.9916910320548965027812298794554 y1[1] (numeric) = 1.9916798565411760746804824342428 absolute error = 1.11755137204281007474452126e-05 relative error = 0.00056110679520899066537583522118178 % h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.6MB, time=22.78 NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.12999154558712573593426300967 absolute error = 0.0003574029674308763930571989617 relative error = 0.031638824814734771185858877115867 % h = 0.001 y1[1] (analytic) = 1.9915618937147880395945121711518 y1[1] (numeric) = 1.99155036493046856492355142385 absolute error = 1.15287843194746709607473018e-05 relative error = 0.00057888154798796880234892777105461 % h = 0.001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.6MB, time=22.99 NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.1309914145060586776944415329872 absolute error = 0.0003657749749752458947576298896 relative error = 0.032351554943239010213575731086392 % h = 0.001 y1[1] (analytic) = 1.9914317638128684917748100954616 y1[1] (numeric) = 1.9914198734503379427086225937095 absolute error = 1.18903625305490661875017521e-05 relative error = 0.00059707607092614314874800542624221 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.6MB, time=23.20 NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1319912824166328705424181287623 absolute error = 0.0003742765997895120980898583322 relative error = 0.033074494096997534048144899548345 % h = 0.001 y1[1] (analytic) = 1.991300642479267750397513340263 y1[1] (numeric) = 1.9912883821017925669547529750411 absolute error = 1.22603774751834427603652219e-05 relative error = 0.00061569695773907181825451568267818 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=434.8MB, alloc=4.6MB, time=23.40 x[1] = 0.133 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1329911493188486547491601898538 absolute error = 0.000382908833240218420093528927 relative error = 0.033807703277529162320834690563304 % h = 0.001 y1[1] (analytic) = 1.9911685298451071381365858470171 y1[1] (numeric) = 1.9911558908858407962407174704208 absolute error = 1.26389592663418958683765963e-05 relative error = 0.00063475085493266005129582285003895 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.133991015212706370563170235786 absolute error = 0.0003916726665622912714627356097 relative error = 0.034551243271063199154199002626584 % h = 0.001 y1[1] (analytic) = 1.9910354260424992781432540635797 y1[1] (numeric) = 1.9910223998034909888050312332312 absolute error = 1.30262390082893382228303485e-05 relative error = 0.00065424446184672201052304502800545 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.6MB, time=23.61 NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.1349908800982063582103150670547 absolute error = 0.0004005690908580488218716166081 relative error = 0.03530517464955281893009547842436 % h = 0.001 y1[1] (analytic) = 1.9909013312045479619333948023605 y1[1] (numeric) = 1.9908879088557515025459722179577 absolute error = 1.34223487964593874225844028e-05 relative error = 0.00067418453069889261656079507314285 % h = 0.001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.6MB, time=23.81 NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.1359907439753489578936549196055 absolute error = 0.0004095990970962098979081569413 relative error = 0.036069557771683818623570801582908 % h = 0.001 y1[1] (analytic) = 1.990766245465348016283754816428 y1[1] (numeric) = 1.9907524180436306950216039013302 absolute error = 1.38274217173212621509150978e-05 relative error = 0.00069457786662888981358087748867135 % h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.6MB, time=24.03 NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1369906068441345097932726194844 absolute error = 0.0004187636761109030146073002383 relative error = 0.03684445278387876059164038099365 % h = 0.001 y1[1] (analytic) = 1.9906301689599851691371351973316 y1[1] (numeric) = 1.9906159273681369234497981743106 absolute error = 1.42415918482456873370230210e-05 relative error = 0.00071543132774312765741868857826789 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.6MB, time=24.24 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.1379904687045633540661027376601 absolute error = 0.0004280638186006755415743380878 relative error = 0.037629919621296529572268835365847 % h = 0.001 y1[1] (analytic) = 1.9904931018245359145166746894438 y1[1] (numeric) = 1.9904784368302785447082584049251 absolute error = 1.46649942573698084162845187e-05 relative error = 0.00073675182515968062212268144496747 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.6MB, time=24.45 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1389903295566358308457607450194 absolute error = 0.0004375005151275030046894105439 relative error = 0.038426018008827327515958188838392 % h = 0.001 y1[1] (analytic) = 1.9903550441960673764493670065295 y1[1] (numeric) = 1.9903399464310639153345426719418 absolute error = 1.50977650034611148243345877e-05 relative error = 0.00075854632305359952400383170705757 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=457.7MB, alloc=4.6MB, time=24.64 x[1] = 0.14 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.1399901894003522802423721675345 absolute error = 0.0004470747561157985243838158291 relative error = 0.039232807462083129740267034525021 % h = 0.001 y1[1] (analytic) = 1.9902159962126371718989482270114 y1[1] (numeric) = 1.9902004561715013915260871693934 absolute error = 1.55400411357803728610576180e-05 relative error = 0.00078082183870257946543361446510755 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.1409900482357130423424017416025 absolute error = 0.0004567875318514223914786907048 relative error = 0.040050347288383625766310675869332 % h = 0.001 y1[1] (analytic) = 1.9900759580132932727082913350357 y1[1] (numeric) = 1.9900599660525993291402297819441 absolute error = 1.59919606939435680615530916e-05 relative error = 0.00080358544253298020382561964465127 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.6MB, time=24.85 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.1419899060627184572084825695573 absolute error = 0.000466639832480691781576485417 relative error = 0.040878696587737668065824013010684 % h = 0.001 y1[1] (analytic) = 1.9899349297380738665514459649294 y1[1] (numeric) = 1.9899184760753660836942338311019 absolute error = 1.64536627077828572121338275e-05 relative error = 0.00082684425816619935442763113193241 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.6MB, time=25.06 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.142989762881368864879245275354 absolute error = 0.0004766326480093906089955185737 relative error = 0.041717914253820251817700339894385 % h = 0.001 y1[1] (analytic) = 1.9897929115280072168954623969991 y1[1] (numeric) = 1.9897759862408100103653119922743 absolute error = 1.69252871972065301504047248e-05 relative error = 0.00085060546246539883874781757954677 % h = 0.001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.6MB, time=25.26 NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.1439896186916646053691471604253 absolute error = 0.0004867669683017795212377577643 relative error = 0.042568058974945048644044932394486 % h = 0.001 y1[1] (analytic) = 1.9896499035251115219721398428361 y1[1] (numeric) = 1.9896324965499394639906503826693 absolute error = 1.74069751720579814894601668e-05 relative error = 0.00087487628558258499364066915852295 % h = 0.001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.6MB, time=25.47 NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.1449894734936060186683013597103 absolute error = 0.0004970437830796060349798312014 relative error = 0.043429189235032517167697052983541 % h = 0.001 y1[1] (analytic) = 1.989505905872394772759840048366 y1[1] (numeric) = 1.9894880070037627990674328200396 absolute error = 1.78988686319736924072283264e-05 relative error = 0.0008996640110060427592855069865977 % h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.6MB, time=25.67 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.1459893272871934447423059978557 absolute error = 0.0005074640819211148145771341391 relative error = 0.044301363314573613105872524196297 % h = 0.001 y1[1] (analytic) = 1.9893609187138546099755082328197 y1[1] (numeric) = 1.989342517603288369752865252271 absolute error = 1.84011105662402226429805487e-05 relative error = 0.00092497597560812436750283139574914 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1469891800724272235320733455891 absolute error = 0.0005180288542600580940707513123 relative error = 0.045184639291589121488056122067159 % h = 0.001 y1[1] (analytic) = 1.9892149421944781800770443715908 y1[1] (numeric) = 1.9891960283495245298642003578147 absolute error = 1.89138449536502128440137761e-05 relative error = 0.00095081956969339295507150282296121 % h = 0.001 memory used=480.6MB, alloc=4.6MB, time=25.88 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1479890318493076949536589762647 absolute error = 0.0005287390893847062436867731349 relative error = 0.046079075042584633460523537804153 % h = 0.001 y1[1] (analytic) = 1.9890679764602419902761688205978 y1[1] (numeric) = 1.9890485392434796328787623169628 absolute error = 1.94372167623573974065036350e-05 relative error = 0.00097720223704712152993280696908724 % h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.6MB, time=26.09 NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.1489888826178351988980909225815 absolute error = 0.0005395957764368584818174389055 relative error = 0.046984728243501190014891416788215 % h = 0.001 y1[1] (analytic) = 1.9889200216581117625619272692718 y1[1] (numeric) = 1.9889000502861620319339717539675 absolute error = 1.99713719497306279555153043e-05 relative error = 0.0010041314749841477213958847233486 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.6MB, time=26.29 NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1499887323780100752311988334733 absolute error = 0.0005505999044108537334733947857 relative error = 0.047901656370661614853875908816336 % h = 0.001 y1[1] (analytic) = 1.9887710779360422867349809986543 y1[1] (numeric) = 1.9887505614785800798273708500031 absolute error = 2.05164574622069076101486512e-05 relative error = 0.0010316148343980847486928497485381 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=26.49 NO POLE NO POLE x[1] = 0.151 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.1509885811298326637934431311715 absolute error = 0.0005617524621525816361962078453 relative error = 0.048829916701712558483980190849102 % h = 0.001 y1[1] (analytic) = 1.9886211454429772724528294103012 y1[1] (numeric) = 1.9886000728217421290166486269713 absolute error = 2.10726212351434361807833299e-05 relative error = 0.0010596599198108890454712133859638 % h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.6MB, time=26.70 NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1519884288733033043997441684399 absolute error = 0.0005730544383584936944201300096 relative error = 0.049769566316562275502124527549724 % h = 0.001 y1[1] (analytic) = 1.9884702243288492002861127807586 y1[1] (numeric) = 1.9884485843166565316196664021496 absolute error = 2.16400121926686664463786090e-05 relative error = 0.0010882743894227849810560303292837 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=26.91 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.1524037687868477222560394286898 y2[1] (numeric) = 1.1529882756084223368393113859819 absolute error = 0.0005845068215746145832719572921 relative error = 0.050720662098314156921273625555973 % h = 0.001 y1[1] (analytic) = 1.9883183147445791717861441852958 y1[1] (numeric) = 1.9882960959643316394144834136816 absolute error = 2.22187802475323716607716142e-05 relative error = 0.001117465955162547122564510840348 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.154 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1539881213351901008754724700199 absolute error = 0.0005961106001955536027976802612 relative error = 0.051683260734196039258900361708739 % h = 0.001 y1[1] (analytic) = 1.9881654168420767585638205233501 y1[1] (numeric) = 1.9881426077657758038393826169106 absolute error = 2.28090763009547244379064395e-05 relative error = 0.0011472423827381404852117579770935 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=27.10 NO POLE NO POLE x[1] = 0.155 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1549879660536069362455025100472 absolute error = 0.0006078667624635162836044712599 relative error = 0.052657418716485311991647503966959 % h = 0.001 y1[1] (analytic) = 1.9880115307742398503800635667605 y1[1] (numeric) = 1.9879881197219973759928966515553 absolute error = 2.34110522424743871669152052e-05 relative error = 0.0011776114916877192214078241887189 % h = 0.001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.6MB, time=27.31 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.1559878097636731826604531567521 absolute error = 0.000619776296467316144906402484 relative error = 0.053643192343429844859804914319275 % h = 0.001 y1[1] (analytic) = 1.9878566566949545022479429403361 y1[1] (numeric) = 1.9878326318340047066338339797272 absolute error = 2.40248609497956141089606089e-05 relative error = 0.0012085811554309842025134821908708 % h = 0.001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.6MB, time=27.52 NO POLE NO POLE x[1] = 0.157 y2[1] (analytic) = 1.1563558122752477931990196434946 y2[1] (numeric) = 1.1569876524653891798049817801139 absolute error = 0.0006318401901413866059621366193 relative error = 0.054640637720164756386204076863264 % h = 0.001 y1[1] (analytic) = 1.9877007947590947805466339326243 y1[1] (numeric) = 1.9876761441028061461813051947907 absolute error = 2.46506562886343653287378336e-05 relative error = 0.001240159301320899950395012996504 % h = 0.001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.6MB, time=27.72 NO POLE NO POLE x[1] = 0.158 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.1579874941587552673371806276721 absolute error = 0.0006440594312647930518926783475 relative error = 0.055649810759625044855839818428208 % h = 0.001 y1[1] (analytic) = 1.9875439451225226081473640229073 y1[1] (numeric) = 1.9875186565294100447147495010646 absolute error = 2.52885931125634326145218427e-05 relative error = 0.0012723539106957713791969717053009 % h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=27.93 NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.158987334843771784888405982967 absolute error = 0.0006564350074602450548671206495 relative error = 0.056670767183454102884956004290845 % h = 0.001 y1[1] (analytic) = 1.9873861079420876085515029984672 y1[1] (numeric) = 1.9873601691148247519739613643653 absolute error = 2.59388272628565775416341019e-05 relative error = 0.0013051730189316808110363415486289 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=28.13 NO POLE NO POLE x[1] = 0.16 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.1599871745204390720631073241529 absolute error = 0.0006689679061931087516441644669 relative error = 0.057703562522908136591473053137157 % h = 0.001 y1[1] (analytic) = 1.9872272833756269490409525240183 y1[1] (numeric) = 1.9872006818600586173591173333916 absolute error = 2.66015155683316818351906267e-05 relative error = 0.001338624715495285732611771617652 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1609870131887574684386564827838 absolute error = 0.0006816591147704193784570339283 relative error = 0.058748252119756510262485612591862 % h = 0.001 y1[1] (analytic) = 1.9870674715819651828409920129024 y1[1] (numeric) = 1.9870401947661199899308030319505 absolute error = 2.72768158451929101889809519e-05 relative error = 0.0013727171439969777630177559605472 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.6MB, time=28.33 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1619868508487273135651768027713 absolute error = 0.0006945096203398939642292520005 relative error = 0.059804891127178037299113991582571 % h = 0.001 y1[1] (analytic) = 1.9869066727209140902957386371875 y1[1] (numeric) = 1.9868787078340172184100403220245 absolute error = 2.79648868968718856983151630e-05 relative error = 0.0014074585022444033063556945333232 % h = 0.001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.6MB, time=28.54 NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1629866875003489469653722995146 absolute error = 0.0007075204098889441831085830977 relative error = 0.060873534510653238104248315664809 % h = 0.001 y1[1] (analytic) = 1.9867448869532725190563803011996 y1[1] (numeric) = 1.9867162210647586511783146376798 absolute error = 2.86658885138678780656635198e-05 relative error = 0.0014428570422963463660418228556166 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=28.74 NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1639865231436227081343568192029 absolute error = 0.0007206924702436893673062898594 relative error = 0.061954237048852585464675244169805 % h = 0.001 y1[1] (analytic) = 1.9865821144408262232823413902376 y1[1] (numeric) = 1.9865527344593526362776024898149 absolute error = 2.93799814735870047389004227e-05 relative error = 0.0014789210705169740010260493730777 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=28.95 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.1649863577785489365394831982902 absolute error = 0.0007340267880679696812286910073 relative error = 0.063047053334520757865718887276655 % h = 0.001 y1[1] (analytic) = 1.9864183553463477018555420932949 y1[1] (numeric) = 1.9863882480188075214103991417502 absolute error = 3.01073275401804451429515447e-05 relative error = 0.001515658947630444907455841773028 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.6MB, time=29.16 NO POLE NO POLE x[1] = 0.166 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1659861914051279716201724231423 absolute error = 0.0007475243498623594578878458941 relative error = 0.064152037775356921063855739966605 % h = 0.001 y1[1] (analytic) = 1.9862536098335960356079130855139 y1[1] (numeric) = 1.9862227617441316539397464556581 absolute error = 3.08480894643816681666298558e-05 relative error = 0.0015530790887758816126454980619569 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=545.5MB, alloc=4.6MB, time=29.36 x[1] = 0.167 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.166986024023360152787742789856 absolute error = 0.0007611861419631806985780290819 relative error = 0.065269244594891058130773497069202 % h = 0.001 y1[1] (analytic) = 1.9860878780673167235623283428443 y1[1] (numeric) = 1.986056275636333380889260909833 absolute error = 3.16024309833426730674330113e-05 relative error = 0.0015911899635627067715434689792559 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.168 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.1679858556332458194252390642511 absolute error = 0.0007750131505415167368044950208 relative error = 0.066398727833356368071031047293529 % h = 0.001 y1[1] (analytic) = 1.985921160213241518187119847961 y1[1] (numeric) = 1.9858887896964210489431617868015 absolute error = 3.23705168204692439580611595e-05 relative error = 0.0016300000961263440592289086908446 % h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.6MB, time=29.57 NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1689856862347853108872616420337 absolute error = 0.0007890063616022260674508686439 relative error = 0.067540541348557753004837315781309 % h = 0.001 y1[1] (analytic) = 1.9857534564380882596643389329105 y1[1] (numeric) = 1.9857203039254030044462995322729 absolute error = 3.31525126852552180394006376e-05 relative error = 0.0016695180651842841563133637824071 % h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.6MB, time=29.78 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.1691823490669960101576243766708 y2[1] (numeric) = 1.1699855158279789664997957091328 absolute error = 0.000803166760982956342171332462 relative error = 0.068694738816736413797495517841852 % h = 0.001 y1[1] (analytic) = 1.9855847669095607091719299902125 y1[1] (numeric) = 1.9855508183242875934041842849289 absolute error = 3.39485852731157677457052836e-05 relative error = 0.0017097525040925163274745108899036 % h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.6MB, time=29.98 NO POLE NO POLE x[1] = 0.171 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1709853444128271255600404022088 absolute error = 0.0008174953343531585319936145083 relative error = 0.069861373733430573907752413439284 % h = 0.001 y1[1] (analytic) = 1.9854150917963483811799832702289 y1[1] (numeric) = 1.9853803328940831614830145770533 absolute error = 3.47589022652196969686931756e-05 relative error = 0.0017507121009023260967061636203733 % h = 0.001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.6MB, time=30.19 NO POLE NO POLE x[1] = 0.172 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1719851719893301273362379693341 absolute error = 0.0008319930672131012581186142814 relative error = 0.071040499414332351118644960679958 % h = 0.001 y1[1] (analytic) = 1.9852444312681263747612344685321 y1[1] (numeric) = 1.9852088476357980540097062060008 absolute error = 3.55836323283207515282625313e-05 relative error = 0.0017924055984174595262324343202423 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.6MB, time=30.39 NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1729849985574883110675029308462 absolute error = 0.0008466609448928852919023356303 relative error = 0.072232168996140796706445030339993 % h = 0.001 y1[1] (analytic) = 1.9850727854955552039159797927608 y1[1] (numeric) = 1.9850363625504406159719212765053 absolute error = 3.64229451145879440585162555e-05 relative error = 0.0018348417942516546094039995669496 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=568.4MB, alloc=4.6MB, time=30.60 x[1] = 0.174 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1739848241173020159636512403732 absolute error = 0.0008614999525514582250056263496 relative error = 0.073436435437411121495962272002508 % h = 0.001 y1[1] (analytic) = 1.9849001546502806269115761840325 y1[1] (numeric) = 1.9848628776390191920180974138272 absolute error = 3.72770112614348934787702053e-05 relative error = 0.0018780295408865402912709238028688 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.175 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1749846486687715812050294460314 absolute error = 0.00087651107517562931069705408 relative error = 0.074653351519400128143771550706357 % h = 0.001 y1[1] (analytic) = 1.9847265389049334746366973533995 y1[1] (numeric) = 1.9846883929025421264574771477393 absolute error = 3.81460023913481792202056602e-05 relative error = 0.0019219777457299036339094879956113 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.6MB, time=30.80 NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.1759844722118973459423438517953 absolute error = 0.0008916952975790844772940769594 relative error = 0.075882969846907868884880370494913 % h = 0.001 y1[1] (analytic) = 1.9845519384331294779705172790773 y1[1] (numeric) = 1.9845129083420177632601374673518 absolute error = 3.90300911117147103798117255e-05 relative error = 0.0019666953711743256469699933679912 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.6MB, time=31.01 NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.1769842947466796492964896790396 absolute error = 0.0009070536044014015147274953299 relative error = 0.077125342849115547872939164284967 % h = 0.001 y1[1] (analytic) = 1.9843763534094690941669937952475 y1[1] (numeric) = 1.9843364239584544460570195467756 absolute error = 3.99294510146481099742484719e-05 relative error = 0.0020121914346561863073086090624329 % h = 0.001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.6MB, time=31.22 NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1779841162731188303583802282542 absolute error = 0.0009225869801070654352139976845 relative error = 0.07838052278041968713931908609316 % h = 0.001 y1[1] (analytic) = 1.9841997840095373322544258881378 y1[1] (numeric) = 1.9841589397528605181399586416241 absolute error = 4.08442566768141144672465137e-05 relative error = 0.0020584750087150392949690512689568 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.6MB, time=31.42 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1789839367912152281887760409306 absolute error = 0.000938296408984484009021439926 relative error = 0.079648561721262575092233847977523 % h = 0.001 y1[1] (analytic) = 1.9840222304099035774504592998064 y1[1] (numeric) = 1.9839804557262443224617141563532 absolute error = 4.17746836592549887451434532e-05 relative error = 0.0021055552210533569761892646016485 % h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.6MB, time=31.63 NO POLE NO POLE x[1] = 0.18 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.1799837563009691818181140616214 absolute error = 0.0009541828751450034763113219222 relative error = 0.080929511578959016373560087281063 % h = 0.001 y1[1] (analytic) = 1.9838436927881214145927160246115 y1[1] (numeric) = 1.9838009718796142016359998824393 absolute error = 4.27209085072129567161421722e-05 relative error = 0.0021534412545966461675243693055703 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=591.2MB, alloc=4.6MB, time=31.84 x[1] = 0.181 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.1809835748023810302463368001715 absolute error = 0.0009702473625219244360427492607 relative error = 0.082223424088519401788110643804537 % h = 0.001 y1[1] (analytic) = 1.9836641713227284505852242677207 y1[1] (numeric) = 1.9836204882139784979375144073949 absolute error = 4.36831087499526477098603258e-05 relative error = 0.0022021423475539352185999848019319 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.182 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1819833922954511124427214941219 absolute error = 0.0009864908548695179129219910464 relative error = 0.083530350813469116917832916553835 % h = 0.001 y1[1] (analytic) = 1.983483666193246135860826419216 y1[1] (numeric) = 1.9834390047303455533019716946225 absolute error = 4.46614629005825588547245935e-05 relative error = 0.0022516677934786329544396864231836 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.6MB, time=32.04 NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.1829832087801797673457092712857 absolute error = 0.0010029143357620416033815665406 relative error = 0.084850343146664307931736128009746 % h = 0.001 y1[1] (analytic) = 1.9833021775801795848597435813723 y1[1] (numeric) = 1.9832565214297237093261318341053 absolute error = 4.56561504558755336117472670e-05 relative error = 0.0023020269413297600217468430867399 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.6MB, time=32.25 NO POLE NO POLE x[1] = 0.184 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.1839830242565673338627343124964 absolute error = 0.0010195187885927563015726144077 relative error = 0.086183452311104023001292851174581 % h = 0.001 y1[1] (analytic) = 1.9831197056650173955244761705281 y1[1] (numeric) = 1.9830730383131213072678319639357 absolute error = 4.66673518960882566442065924e-05 relative error = 0.0023532291955335531869644638661198 % h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.6MB, time=32.46 NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1849828387246141508700530145285 absolute error = 0.0010363051965729425063541183271 relative error = 0.087529729360738747630607581402849 % h = 0.001 y1[1] (analytic) = 1.9829362506302314678112210986348 y1[1] (numeric) = 1.9828885553815466880460173626809 absolute error = 4.76952486847797652037359539e-05 relative error = 0.0024052840160454431373869972273866 % h = 0.001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.6MB, time=32.66 NO POLE NO POLE x[1] = 0.186 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1859826521843205572125731531906 absolute error = 0.0010532745427309172102623817253 relative error = 0.08888922518127535211079451694887 % h = 0.001 y1[1] (analytic) = 1.9827518126592768212179870230509 y1[1] (numeric) = 1.9827030726360081922407727125853 absolute error = 4.87400232686289772143104656e-05 relative error = 0.0024582009184124063400553225876474 % h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.6MB, time=32.87 NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.1869824646356868917036830465902 absolute error = 0.0010704278099110508714439624082 relative error = 0.090261990490978469208754136200175 % h = 0.001 y1[1] (analytic) = 1.9825663919365914113295901364508 y1[1] (numeric) = 1.9825165900775141600933535336099 absolute error = 4.98018590772512362366028409e-05 relative error = 0.0025119894738356915166304961521129 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=614.1MB, alloc=4.6MB, time=33.07 x[1] = 0.188 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.1879822760787134931250807185716 absolute error = 0.0010877659807727845695350949073 relative error = 0.091648075841468320101879736766724 % h = 0.001 y1[1] (analytic) = 1.9823799886475959453797139518383 y1[1] (numeric) = 1.9823291077070729315062177883083 absolute error = 5.08809405230138734961635300e-05 relative error = 0.0025666593092339212959132072125143 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.1889820865134007002266030623254 absolute error = 0.0011052900377896473464704444064 relative error = 0.093047531618515006472156972868158 % h = 0.001 y1[1] (analytic) = 1.9821926029786936968302175205875 y1[1] (numeric) = 1.9821406255256928460430576575393 absolute error = 5.19774530008507871598630482e-05 relative error = 0.0026222201073065696091544128002011 % h = 0.001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.6MB, time=33.28 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.1899818959397488517260550041706 absolute error = 0.0011230009632482737332038511893 relative error = 0.094460408042829286575637760119229 % h = 0.001 y1[1] (analytic) = 1.9820042351172703189678775041899 y1[1] (numeric) = 1.9819511435343822429288314870154 absolute error = 5.30915828880760390460171745e-05 relative error = 0.0026786816065978153967882944873728 % h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.6MB, time=33.48 NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.189840804618510864845715128875 y2[1] (numeric) = 1.1909817043577582863090386675091 absolute error = 0.0011408997392474214633235386341 relative error = 0.095886755170849853006370904141589 % h = 0.001 y1[1] (analytic) = 1.9818148852516936575187505029481 y1[1] (numeric) = 1.9817606617341494610497959046879 absolute error = 5.42235175441964689545982602e-05 relative error = 0.002736053601560773198711566304522 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.6MB, time=33.69 NO POLE NO POLE x[1] = 0.192 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.1919815117674293426287825369522 absolute error = 0.0011589873476969893745440708854 relative error = 0.097326622895527129777551673074258 % h = 0.001 y1[1] (analytic) = 1.9816245535713135622803430272392 y1[1] (numeric) = 1.9815691801260028389535381089677 absolute error = 5.53734453107233268049182715e-05 relative error = 0.0027943459426221012037333045149559 % h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.6MB, time=33.90 NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1929813181687623593059706226198 absolute error = 0.001177264770317035499057158462 relative error = 0.098780060947103606246907521404393 % h = 0.001 y1[1] (analytic) = 1.9814332402664616977717774791618 y1[1] (numeric) = 1.981376698710950714849008327782 absolute error = 5.65415555109829227691513798e-05 relative error = 0.0028535685362469873373269138209462 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.6MB, time=34.11 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.1939811235617576749285716246113 absolute error = 0.0011957329886367953437232211934 relative error = 0.1002471188938907253181635563824 % h = 0.001 y1[1] (analytic) = 1.9812409455284513529021434943852 y1[1] (numeric) = 1.9811832174900014266065524484667 absolute error = 5.77280384499262955910459185e-05 relative error = 0.0029137313450045139703306375080966 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=637.0MB, alloc=4.6MB, time=34.31 x[1] = 0.195 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.1949809279464156280516680976495 absolute error = 0.0012143929839937003610854280441 relative error = 0.1017278461430423432558254202228 % h = 0.001 y1[1] (analytic) = 1.9810476695495772496572249758333 y1[1] (numeric) = 1.9809887364641633117579448184937 absolute error = 5.89330854139378992801573396e-05 relative error = 0.0029748443876334018347652074233697 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.196 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1959807313227365571972856158961 absolute error = 0.0012332457375323966121877425573 relative error = 0.10322229194132477835647536519291 % h = 0.001 y1[1] (analytic) = 1.9808534125231153508047941324606 y1[1] (numeric) = 1.9807932556344447074964212170344 absolute error = 6.01568886706433083729154262e-05 relative error = 0.0030369177391081337364668602622482 % h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.6MB, time=34.52 NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.19698053369072080085422193794 absolute error = 0.0012522922302037636221783108469 relative error = 0.10473050537588346562629577761037 % h = 0.001 y1[1] (analytic) = 1.980658174643322666618664817809 y1[1] (numeric) = 1.9805967750018539506767119973574 absolute error = 6.13996414687159419528204516e-05 relative error = 0.0030999615307054586577710665080774 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.6MB, time=34.73 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1979803350503686974778761719578 absolute error = 0.0012715334427639334296793362843 relative error = 0.10625253537500623452160963744563 % h = 0.001 y1[1] (analytic) = 1.9804619561054370606216984442784 y1[1] (numeric) = 1.9803992945673993778150754000616 absolute error = 6.26615380376828066230442168e-05 relative error = 0.0031639859500712768470269743045371 % h = 0.001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.6MB, time=34.95 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1989801354016805854900779410464 absolute error = 0.0012909703557733098309043912536 relative error = 0.10778843070888322671685578422282 % h = 0.001 y1[1] (analytic) = 1.9802647571056770543479567300861 y1[1] (numeric) = 1.9802008143320893250893310371441 absolute error = 6.39427735877292586256929420e-05 relative error = 0.0032290012412879064952748095402222 % h = 0.001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.6MB, time=35.15 NO POLE NO POLE x[1] = 0.2 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1999799347446568032789165487279 absolute error = 0.0013106039495955878195039216095 relative error = 0.10933823999036347077259482688812 % h = 0.001 y1[1] (analytic) = 1.9800665778412416311241965167482 y1[1] (numeric) = 1.9800013342969321283388935469024 absolute error = 6.52435443095027853029698458e-05 relative error = 0.0032950177049417326039783433820801 % h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.6MB, time=35.36 NO POLE NO POLE x[1] = 0.201 y2[1] (analytic) = 1.1996492978749009159754506408903 y2[1] (numeric) = 1.200979733079297689198570144627 absolute error = 0.0013304352043967732231195037367 relative error = 0.11090201167570813048486553539051 % h = 0.001 y1[1] (analytic) = 1.979867418510310038870902875571 y1[1] (numeric) = 1.9798008544629361230648064196712 absolute error = 6.65640473739158060964558998e-05 relative error = 0.0033620456981912386512720859302744 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=659.9MB, alloc=4.6MB, time=35.56 x[1] = 0.202 y2[1] (analytic) = 1.2006290653054593790315076729148 y2[1] (numeric) = 1.2019795304056035815691348903208 absolute error = 0.001350465100144202537627217406 relative error = 0.11247979406534044360647806465642 % h = 0.001 y1[1] (analytic) = 1.9796672793120415919230577021024 y1[1] (numeric) = 1.9795993748311096444297759943933 absolute error = 6.79044809319474932817077091e-05 relative error = 0.0034300956348354216677581378132958 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.203 y2[1] (analytic) = 1.2016086321069692557164038254306 y2[1] (numeric) = 1.2029793267235748186764541253603 absolute error = 0.0013706946166055629600502999297 relative error = 0.11407163530459236754063588770071 % h = 0.001 y1[1] (analytic) = 1.9794661604465754718708419777594 y1[1] (numeric) = 1.9793968954024610272582056260249 absolute error = 6.92650441144446126363517345e-05 relative error = 0.0034991779853825913364706777969836 % h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.6MB, time=35.77 NO POLE NO POLE x[1] = 0.204 y2[1] (analytic) = 1.2025879972998638261508264850126 y2[1] (numeric) = 1.2039791220332117387719475334648 absolute error = 0.0013911247333479126211210484522 relative error = 0.11567758338444794851761938148051 % h = 0.001 y1[1] (analytic) = 1.979264062115030527420470857911 y1[1] (numeric) = 1.9791934161779986060362300237742 absolute error = 7.06459370319213842408341368e-05 relative error = 0.0035693032771195537352169315348071 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.6MB, time=35.98 NO POLE NO POLE x[1] = 0.205 y2[1] (analytic) = 1.2035671599047779790539685713266 y2[1] (numeric) = 1.2049789163345146800724403088883 absolute error = 0.0014117564297367010184717375617 relative error = 0.11729768614228343067613716666445 % h = 0.001 y1[1] (analytic) = 1.9790609845195050732753617255673 y1[1] (numeric) = 1.9789889371587307149117497601743 absolute error = 7.20473607743583636119653930e-05 relative error = 0.0036404820941811803431022027056848 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.6MB, time=36.18 NO POLE NO POLE x[1] = 0.206 y2[1] (analytic) = 1.2045461189425491911085582041808 y2[1] (numeric) = 1.2059787096274839807599923229583 absolute error = 0.0014325906849347896514341187775 relative error = 0.11893199126260412138235312564154 % h = 0.001 y1[1] (analytic) = 1.9788569278630766880378363294873 y1[1] (numeric) = 1.9787834583456656876944659509893 absolute error = 7.34695174110003433703784980e-05 relative error = 0.0037127250776203629366532005706458 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.6MB, time=36.39 NO POLE NO POLE x[1] = 0.207 y2[1] (analytic) = 1.2055248734342185061233004239223 y2[1] (numeric) = 1.2069785019121199789817272907869 absolute error = 0.0014536284779014728584268668646 relative error = 0.12058054627777802903152411125861 % h = 0.001 y1[1] (analytic) = 1.9786518923498020111315591049884 y1[1] (numeric) = 1.9785769797398118578559151059541 absolute error = 7.49126099901532756439990343e-05 relative error = 0.0037860429254783550045685162358546 % h = 0.001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.6MB, time=36.60 NO POLE NO POLE x[1] = 0.208 y2[1] (analytic) = 1.206503422401031513991751802823 y2[1] (numeric) = 1.2079782931884230128496619381539 absolute error = 0.0014748707873914988579101353309 relative error = 0.12224339856876628948963233239698 % h = 0.001 y1[1] (analytic) = 1.9784458781847165387449147550011 y1[1] (numeric) = 1.9783695013421775585295041503468 absolute error = 7.63768425389802154106046543e-05 relative error = 0.0038604463928555003137477314397669 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=682.8MB, alloc=4.6MB, time=36.80 x[1] = 0.209 y2[1] (analytic) = 1.2074817648644393294466489886571 y2[1] (numeric) = 1.2089780834563934204405351685628 absolute error = 0.0014963185919540909938861799057 relative error = 0.12392059536585039724536391016411 % h = 0.001 y1[1] (analytic) = 1.9782388855738344187955291479752 y1[1] (numeric) = 1.9781610231537711225105456173949 absolute error = 7.78624200632962849835305803e-05 relative error = 0.0039359462919823492628813372932586 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.21 y2[1] (analytic) = 1.2084598998460995706087124262276 y2[1] (numeric) = 1.2099778727160315397956372304684 absolute error = 0.0015179728699319691869248042408 relative error = 0.12561218374935625725626780595791 % h = 0.001 y1[1] (analytic) = 1.9780309147241482449161385680994 y1[1] (numeric) = 1.9779515451756008822562930115137 absolute error = 7.93695485473626598455565857e-05 relative error = 0.004012553492291163663522444753608 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.6MB, time=37.01 NO POLE NO POLE x[1] = 0.211 y2[1] (analytic) = 1.2094378263678773373289467081163 y2[1] (numeric) = 1.2109776609673377089206388846773 absolute error = 0.001539834599460371591692176561 relative error = 0.12731821065037507338692392590551 % h = 0.001 y1[1] (analytic) = 1.9778219658436288494620133319462 y1[1] (numeric) = 1.9777410674086751698859763423778 absolute error = 8.08984349536795760369895684e-05 relative error = 0.0040902789204878105922082320887368 % h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=37.21 NO POLE NO POLE x[1] = 0.212 y2[1] (analytic) = 1.2104155434518461893234592124401 y2[1] (numeric) = 1.2119774482103122657854205719201 absolute error = 0.00156190475846607646196135948 relative error = 0.1290387228514810892514524172368 % h = 0.001 y1[1] (analytic) = 1.977612039141225095540142764105 y1[1] (numeric) = 1.977529589854002317180837829825 absolute error = 8.24492872227783593049342800e-05 relative error = 0.0041691335606240459608542469661491 % h = 0.001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=37.41 NO POLE NO POLE x[1] = 0.213 y2[1] (analytic) = 1.2113930501202891240998188928769 y2[1] (numeric) = 1.2129772344449555483239015805965 absolute error = 0.0015841843246664242240826877196 relative error = 0.13077376698744619718770473156102 % h = 0.001 y1[1] (analytic) = 1.9774011348268636680603895025966 y1[1] (numeric) = 1.9773171125125906555841677795924 absolute error = 8.40223142730124762217230042e-05 relative error = 0.0042491284541701884563081097853509 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.6MB, time=37.62 NO POLE NO POLE x[1] = 0.214 y2[1] (analytic) = 1.212370345395699554673977294682 y2[1] (numeric) = 1.2139770196712678944338692146923 absolute error = 0.0016066742755683397598919200103 relative error = 0.13252338954595143100598769735414 % h = 0.001 y1[1] (analytic) = 1.9771892531114488638088220829006 y1[1] (numeric) = 1.977103635385448516201340629885 absolute error = 8.56177260003476074814530156e-05 relative error = 0.0043302747000881845036209012789329 % h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=37.83 NO POLE NO POLE x[1] = 0.215 y2[1] (analytic) = 1.2133474283007822870767740798571 y2[1] (numeric) = 1.2149768038892496419768079618686 absolute error = 0.0016293755884673549000338820115 relative error = 0.13428763686829535807118140262883 % h = 0.001 y1[1] (analytic) = 1.9769763942068623805434357272442 y1[1] (numeric) = 1.9768891584735842297998511687758 absolute error = 8.72357332781507435845584684e-05 relative error = 0.0044125834549050649112746092503708 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=705.7MB, alloc=4.6MB, time=38.03 x[1] = 0.216 y2[1] (analytic) = 1.2143242978584544976490495550473 y2[1] (numeric) = 1.2159765870989011287777286617238 absolute error = 0.0016522892404466311286791066765 relative error = 0.13606655515009938619361694489603 % h = 0.001 y1[1] (analytic) = 1.9767625583259631051124722434151 y1[1] (numeric) = 1.9766736817780061268093509224382 absolute error = 8.88765479569783031213209769e-05 relative error = 0.0044960659327867938602925068344508 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.217 y2[1] (analytic) = 1.2153009530918467101243869071349 y2[1] (numeric) = 1.2169763693002226926249976742274 absolute error = 0.0016754162083759825006107670925 relative error = 0.1378601904420100007210778861214 % h = 0.001 y1[1] (analytic) = 1.9765477456825869005955509147589 y1[1] (numeric) = 1.9764572052997225373216847142098 absolute error = 9.05403828643632738662005491e-05 relative error = 0.0045807334056125109028562871986803 % h = 0.001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.6MB, time=38.24 NO POLE NO POLE x[1] = 0.218 y2[1] (analytic) = 1.2162773930243037724985070638692 y2[1] (numeric) = 1.2179761504932146712701660483262 absolute error = 0.001698757468910898771658984457 relative error = 0.13966858865039794714177640580427 % h = 0.001 y1[1] (analytic) = 1.976331956491546392467823240215 y1[1] (numeric) = 1.9762397290397417910909273944877 absolute error = 9.22274518046013768958457273e-05 relative error = 0.0046665972030491666397592373117054 % h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=38.44 NO POLE NO POLE x[1] = 0.219 y2[1] (analytic) = 1.2172536166793858336843393102186 y2[1] (numeric) = 1.218975930677877402427798690723 absolute error = 0.0017223139984915687434593805044 relative error = 0.1414917955380543744261285466669 % h = 0.001 y1[1] (analytic) = 1.9761151909686307537873653602166 y1[1] (numeric) = 1.9760212529990722175334207414553 absolute error = 9.39379695585362539446187613e-05 relative error = 0.0047536687126265527497387455707776 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=38.65 NO POLE NO POLE x[1] = 0.22 y2[1] (analytic) = 1.218229623080869319951791005457 y2[1] (numeric) = 1.2199757098542112237753035348274 absolute error = 0.0017460867733419038235125293704 relative error = 0.1433298567248839542536094879227 % h = 0.001 y1[1] (analytic) = 1.9758974493306054894060229810447 y1[1] (numeric) = 1.9758017771787221457278105326399 absolute error = 9.56721518833436782124484048e-05 relative error = 0.0048419593798127270474540555695429 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=38.86 NO POLE NO POLE x[1] = 0.221 y2[1] (analytic) = 1.2192054112527479111512399612945 y2[1] (numeric) = 1.2209754880222164729527607098788 absolute error = 0.0017700767694685618015207485843 relative error = 0.14518281768859499118990637596 % h = 0.001 y1[1] (analytic) = 1.9756787317952122192039245867742 y1[1] (numeric) = 1.9755813015796999044150837873016 absolute error = 9.74302155123147888407994726e-05 relative error = 0.0049314807080898342506064508261647 % h = 0.001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=39.06 NO POLE NO POLE x[1] = 0.222 y2[1] (analytic) = 1.220180980219233516719773257642 y2[1] (numeric) = 1.221975265181893487562751710242 absolute error = 0.0017942849626599708429784526 relative error = 0.14705072376538653879899982666243 % h = 0.001 y1[1] (analytic) = 1.9754590385811684603478797042797 y1[1] (numeric) = 1.9753598262030138219986061796528 absolute error = 9.92123781546383492735246269e-05 relative error = 0.0050222442590303231404390334159471 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=728.6MB, alloc=4.6MB, time=39.26 x[1] = 0.223 y2[1] (analytic) = 1.221156329004757251469196489853 y2[1] (numeric) = 1.222975041333242605170188564875 absolute error = 0.001818712328485353700992075022 relative error = 0.14893362015063253659469274520615 % h = 0.001 y1[1] (analytic) = 1.975238369908167408573879962885 y1[1] (numeric) = 1.9751373510496722265441596229081 absolute error = 0.0001010188584951820297203399769 relative error = 0.0051142616523735608036019938411869 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.224 y2[1] (analytic) = 1.2221314566339704111548376595133 y2[1] (numeric) = 1.2239748164762641633021430069688 absolute error = 0.0018433598422937521473053474555 relative error = 0.15083155189956298265646356641851 % h = 0.001 y1[1] (analytic) = 1.9750167259968777184939216661375 y1[1] (numeric) = 1.9749138761206834457799800241653 absolute error = 0.0001028498761942727139416419722 relative error = 0.0052075445661028446471268106381676 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.6MB, time=39.47 NO POLE NO POLE x[1] = 0.225 y2[1] (analytic) = 1.2231063621317454478241701400572 y2[1] (numeric) = 1.2249745906109584994476756437597 absolute error = 0.0018682284792130516235055037025 relative error = 0.15274456392794215665534740010275 % h = 0.001 y1[1] (analytic) = 1.9747941070689432829273695688655 y1[1] (numeric) = 1.9746894014170558070967952101161 absolute error = 0.0001047056518874758305743587494 relative error = 0.0053021047365228128820192171904495 % h = 0.001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.6MB, time=39.67 NO POLE NO POLE x[1] = 0.226 y2[1] (analytic) = 1.2240810445231769449442793686679 y2[1] (numeric) = 1.2259743637373259510576651265142 absolute error = 0.0018933192141490061133857578463 relative error = 0.15467270101274390795683989151624 % h = 0.001 y1[1] (analytic) = 1.9745705133469830112570825281373 y1[1] (numeric) = 1.974463926939797637547863023587 absolute error = 0.0001065864071853737092195045503 relative error = 0.0053979539583372541747560809303915 % h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=39.88 NO POLE NO POLE x[1] = 0.227 y2[1] (analytic) = 1.2250555028335825923071981370765 y2[1] (numeric) = 1.2269741358553668555446373206854 absolute error = 0.0019186330217842632374391836089 relative error = 0.1566160077928240233895719172426 % h = 0.001 y1[1] (analytic) = 1.9743459450545906068105226719777 y1[1] (numeric) = 1.9742374526899172638490095909103 absolute error = 0.0001084923646733429615130810674 relative error = 0.0054951040847273171697556077009595 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=40.09 NO POLE NO POLE x[1] = 0.228 y2[1] (analytic) = 1.2260297360885041607121355760063 y2[1] (numeric) = 1.2279739069650815502825944762427 absolute error = 0.0019441708765773895704589002364 relative error = 0.15857452876958968919071559229152 % h = 0.001 y1[1] (analytic) = 1.9741204024163343432660707047136 y1[1] (numeric) = 1.9740099786684230123786677601248 absolute error = 0.0001104237479113308874029445888 relative error = 0.005593567027430120589683562940571 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.6MB, time=40.30 NO POLE NO POLE x[1] = 0.229 y2[1] (analytic) = 1.2270037433137084764236251511138 y2[1] (numeric) = 1.2289736770664703726068443981729 absolute error = 0.0019699337527618961832192470591 relative error = 0.16054830830766606156175054573786 % h = 0.001 y1[1] (analytic) = 1.9738938856577568400847709426156 y1[1] (numeric) = 1.9737815048763232091779157100059 absolute error = 0.0001123807814336309068552326097 relative error = 0.0056933547568177646242605430663777 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=751.5MB, alloc=4.6MB, time=40.50 x[1] = 0.23 y2[1] (analytic) = 1.2279775235351883954046172123601 y2[1] (numeric) = 1.2299734461595336598138296171541 absolute error = 0.001995922624345264409212404794 relative error = 0.16253739063555996019134113131132 % h = 0.001 y1[1] (analytic) = 1.9736663950053748369677306480716 y1[1] (numeric) = 1.9735520313146261799505157299253 absolute error = 0.0001143636907486570172149181463 relative error = 0.005794479301976744322046786403999 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.231 y2[1] (analytic) = 1.2289510757791637773235418638014 y2[1] (numeric) = 1.2309732142442717491609565604018 absolute error = 0.0020221384651079718374146966004 relative error = 0.16454181984632069902564729646991 % h = 0.001 y1[1] (analytic) = 1.9734379306866789673393992048733 y1[1] (numeric) = 1.9733215579843402500629531705401 absolute error = 0.0001163727023387172764460343332 relative error = 0.0058969527507877657035016352684012 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=40.72 NO POLE NO POLE x[1] = 0.232 y2[1] (analytic) = 1.2299243990720824593343681468164 y2[1] (numeric) = 1.2319729813206849778664247226871 absolute error = 0.0020485822486025185320565758707 relative error = 0.16656163989819806849041137996052 % h = 0.001 y1[1] (analytic) = 1.9732084929301335308569536513194 y1[1] (numeric) = 1.9730900848864737445444755653106 absolute error = 0.0001184080436597863124780860088 relative error = 0.00600078725000596531744460143624 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.6MB, time=40.92 NO POLE NO POLE x[1] = 0.233 y2[1] (analytic) = 1.2308974924406212296286857567934 y2[1] (numeric) = 1.2329727473887736831090558375274 absolute error = 0.002075254948152453480370080734 relative error = 0.16859689461529748329362730379689 % h = 0.001 y1[1] (analytic) = 1.9729780819651762649460180617296 y1[1] (numeric) = 1.972857612022034988087131922847 absolute error = 0.0001204699431412768588861388826 relative error = 0.0061059950053415339668840978380489 % h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=41.13 NO POLE NO POLE x[1] = 0.234 y2[1] (analytic) = 1.2318703549116868007588357412751 y2[1] (numeric) = 1.2339725124485382020281230485494 absolute error = 0.0021021575368514012692873072743 relative error = 0.17064762768823230986250465131431 % h = 0.001 y1[1] (analytic) = 1.972746698022218115362945240631 y1[1] (numeric) = 1.9726241393920323050458121900854 absolute error = 0.0001225586301858103171330505456 relative error = 0.0062125882815407453340283327921696 % h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.6MB, time=41.34 NO POLE NO POLE x[1] = 0.235 y2[1] (analytic) = 1.2328429855124167827311168565134 y2[1] (numeric) = 1.2349722764999788717231800810242 absolute error = 0.0021292909875620889920632245108 relative error = 0.17271388267477338739378517723815 % h = 0.001 y1[1] (analytic) = 1.9725143413326430057838901673172 y1[1] (numeric) = 1.9723896669974740194382868862915 absolute error = 0.0001246743351689863456032810257 relative error = 0.006320579402467390238150671788364 % h = 0.001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.6MB, time=41.54 NO POLE NO POLE x[1] = 0.236 y2[1] (analytic) = 1.2338153832701806558680944893074 y2[1] (numeric) = 1.2359720395430960292538904135749 absolute error = 0.0021566562729153733857959242675 relative error = 0.17479570300049575642225059810733 % h = 0.001 y1[1] (analytic) = 1.9722810121288076064209056016861 y1[1] (numeric) = 1.9721541948393684549452469078935 absolute error = 0.0001268172894391514756586937926 relative error = 0.0064299807511846172638490078052376 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.237 y2[1] (analytic) = 1.2347875472125807434390392818975 y2[1] (numeric) = 1.2369718015778900116398564500563 memory used=774.3MB, alloc=4.6MB, time=41.74 absolute error = 0.0021842543653092682008171681588 relative error = 0.17689313195942260873847529840314 % h = 0.001 y1[1] (analytic) = 1.9720467106440411016652912352422 y1[1] (numeric) = 1.9719177229187239349103435041425 absolute error = 0.0001289877253171667549477310997 relative error = 0.0065408047700371805011153981967242 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.238 y2[1] (analytic) = 1.2357594763674531840575228295574 y2[1] (numeric) = 1.2379715626043611558604486916071 absolute error = 0.0022120862369079718029258620497 relative error = 0.17900621271466647241352311695314 % h = 0.001 y1[1] (analytic) = 1.9718114371126449567584287438953 y1[1] (numeric) = 1.9716802512365487823402284236014 absolute error = 0.0001311858760961744182003202939 relative error = 0.0066530639607340951425184763101547 % h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=41.95 NO POLE NO POLE x[1] = 0.239 y2[1] (analytic) = 1.2367311697628689038451980533704 y2[1] (numeric) = 1.2389713226225097988546349088742 absolute error = 0.0022401528596408950094368555038 relative error = 0.18113498829906764561536092419692 % h = 0.001 y1[1] (analytic) = 1.9715751917698926834903360717 y1[1] (numeric) = 1.9714417797938513199045942314616 absolute error = 0.0001334119760413635857418402384 relative error = 0.0067667708844317016866969829123839 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=42.16 NO POLE NO POLE x[1] = 0.24 y2[1] (analytic) = 1.2377026264271345883607920844898 y2[1] (numeric) = 1.2399710816323362775208093144093 absolute error = 0.0022684552052016891600172299195 relative error = 0.18327950161582989282926055855848 % h = 0.001 y1[1] (analytic) = 1.9713379748520296049261752469634 y1[1] (numeric) = 1.9712023085916398699362147976873 absolute error = 0.0001356662603897349899604492761 relative error = 0.0068819381618171395012682394275807 % h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.6MB, time=42.37 NO POLE NO POLE x[1] = 0.241 y2[1] (analytic) = 1.2386738453887936542933397309712 y2[1] (numeric) = 1.2409708396338409287166217352381 absolute error = 0.0022969942450472744232820042669 relative error = 0.1854397954391534170223821714051 % h = 0.001 y1[1] (analytic) = 1.9710997865962726191609490041922 y1[1] (numeric) = 1.970961837630922754430985955987 absolute error = 0.0001379489653498647299630482052 relative error = 0.0069985784731922305021705551095818 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=42.57 NO POLE NO POLE x[1] = 0.242 y2[1] (analytic) = 1.2396448256766272209186858340254 y2[1] (numeric) = 1.2419705966270240892588067856013 absolute error = 0.0023257709503968683401209515759 relative error = 0.1876159124148651212210734659179 % h = 0.001 y1[1] (analytic) = 1.9708606272408099621026224571645 y1[1] (numeric) = 1.9707203669127082950479663336131 absolute error = 0.0001402603281016670546561235514 relative error = 0.0071167045585577737103834776487647 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=42.78 NO POLE NO POLE x[1] = 0.243 y2[1] (analytic) = 1.2406155663196550813182850572694 y2[1] (numeric) = 1.2429703526118860959230130398682 absolute error = 0.0023547862922310146047279825988 relative error = 0.18980789506104617289817805557649 % h = 0.001 y1[1] (analytic) = 1.9706204970248009692839070399837 y1[1] (numeric) = 1.9704778964380048131094183519881 absolute error = 0.0001426005867961561744886879956 relative error = 0.0072363292176982514509045148564024 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.244 y2[1] (analytic) = 1.2415860663471366733593278902572 y2[1] (numeric) = 1.2439701075884272854436322056226 absolute error = 0.0023840412412906120843043153654 relative error = 0.19201578576865688449681957914378 % h = 0.001 y1[1] (analytic) = 1.9703793961883758367029449043108 y1[1] (numeric) = 1.9702344262078206296008493981578 absolute error = 0.000144969980555207102095506153 relative error = 0.0073574653102669479628055280607707 % h = 0.001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.6MB, time=42.98 NO POLE NO POLE x[1] = 0.245 y2[1] (analytic) = 1.2425563247885720504352218862454 y2[1] (numeric) = 1.2449698615566479945136282969209 absolute error = 0.0024135367680759440784064106755 relative error = 0.19423962680215892334671367716628 % h = 0.001 y1[1] (analytic) = 1.9701373249726353806931329320715 y1[1] (numeric) = 1.9699899562231640651710531670715 absolute error = 0.000147368749471315522079765 relative error = 0.0074801257558714811931464799562928 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.6MB, time=43.19 NO POLE NO POLE x[1] = 0.246 y2[1] (analytic) = 1.2435263406737028519654573937924 y2[1] (numeric) = 1.2459696145165485597843668077225 absolute error = 0.0024432738428457078189094139301 relative error = 0.19647946030013486415905486301677 % h = 0.001 y1[1] (analytic) = 1.9698942836196507968223264937931 y1[1] (numeric) = 1.9697444864850434401321511746891 absolute error = 0.000149797134607356690175319104 relative error = 0.0076043235341597485514886649931946 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=43.40 NO POLE NO POLE x[1] = 0.247 y2[1] (analytic) = 1.2444961130325132736538872824077 y2[1] (numeric) = 1.2469693664681293178654438854925 absolute error = 0.0024732534356160442115566030848 relative error = 0.19873532827590509721642712997962 % h = 0.001 y1[1] (analytic) = 1.9696502723724634178216640533481 y1[1] (numeric) = 1.9694980169944670744596344419141 absolute error = 0.000152255377996343362029611434 relative error = 0.0077300716849062874057240138490883 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=43.61 NO POLE NO POLE x[1] = 0.248 y2[1] (analytic) = 1.2454656408952310375044504040511 y2[1] (numeric) = 1.2479691174113906053245155049766 absolute error = 0.0025034765161595678200651009255 relative error = 0.20100727261814210530499326397717 % h = 0.001 y1[1] (analytic) = 1.9694052914750844705442546902599 y1[1] (numeric) = 1.9692505477524432877924053493534 absolute error = 0.0001547437226411827518493409065 relative error = 0.0078573833080990511039215993099451 % h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.6MB, time=43.82 NO POLE NO POLE x[1] = 0.249 y2[1] (analytic) = 1.2464349232923283615933687748402 y2[1] (numeric) = 1.2489688673463327586871266421485 absolute error = 0.0025339440540043970937578673083 relative error = 0.20329533509148212236742573444692 % h = 0.001 y1[1] (analytic) = 1.9691593411724948319539715808613 y1[1] (numeric) = 1.9690020787599803994328196629029 absolute error = 0.0001572624125144325211519179584 relative error = 0.0079862715640266013108871342769879 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.6MB, time=44.03 NO POLE NO POLE x[1] = 0.25 y2[1] (analytic) = 1.2474039592545229295968487048494 y2[1] (numeric) = 1.2499686162729561144365404483294 absolute error = 0.00256465701843318483969174348 relative error = 0.20559955733713418678664918747364 % h = 0.001 y1[1] (analytic) = 1.9689124217106447841445954494942 y1[1] (numeric) = 1.9687526100180867283467287301593 absolute error = 0.0001598116925580557978667193349 relative error = 0.0081167496733657174521360986379645 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.251 y2[1] (analytic) = 1.2483727478127788600733163483794 y2[1] (numeric) = 1.25096836419126100901356742448 absolute error = 0.0025956163784821489402510761006 relative error = 0.20791998087348660214246845585184 % h = 0.001 y1[1] (analytic) = 1.9686645333364537683895529705847 y1[1] (numeric) = 1.9685021415277705931635218476578 absolute error = 0.0001623918086831752260311229269 relative error = 0.0082488309172694240619962152309869 % h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=44.23 NO POLE NO POLE x[1] = 0.252 y2[1] (analytic) = 1.2493412879983076754992183925442 y2[1] (numeric) = 1.2519681111012477788163945956644 absolute error = 0.0026268231029401033171762031202 relative error = 0.21025664709671081821555413749368 % h = 0.001 y1[1] (analytic) = 1.9684156762978101382224960718362 y1[1] (numeric) = 1.9682506732900403121761687989349 absolute error = 0.0001650030077698260463272729013 relative error = 0.0083825286374554368365803721748858 % h = 0.001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.6MB, time=44.44 NO POLE NO POLE x[1] = 0.253 y2[1] (analytic) = 1.2503095788425692710574188484538 y2[1] (numeric) = 1.2529678570029167602004146856868 absolute error = 0.002658278160347489142995837233 relative error = 0.21260959728136274494604770208209 % h = 0.001 y1[1] (analytic) = 1.9681658508435709115489690579392 y1[1] (numeric) = 1.9679982053059042033412625634174 absolute error = 0.0001676455376667082077064945218 relative error = 0.008517856236295028196406814225481 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=44.64 NO POLE NO POLE x[1] = 0.254 y2[1] (analytic) = 1.2512776193772728831772231566772 y2[1] (numeric) = 1.2539676018962682894780552919001 absolute error = 0.0026899825189954063008321352229 relative error = 0.21497887258098151198722730600936 % h = 0.001 y1[1] (analytic) = 1.9679150572235615217894114431114 y1[1] (numeric) = 1.9677447375763705842790621961358 absolute error = 0.0001703196471909375103492469756 relative error = 0.0086548271769023131674895563077444 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.6MB, time=44.85 NO POLE NO POLE x[1] = 0.255 y2[1] (analytic) = 1.252245408634378057825061067043 y2[1] (numeric) = 1.2549673457813027029186080601868 absolute error = 0.0027219371469246450935469931438 relative error = 0.21736451402868568642824158671473 % h = 0.001 y1[1] (analytic) = 1.9676632956885755680537453494437 y1[1] (numeric) = 1.9674902701024477722735358782637 absolute error = 0.00017302558612779578020947118 relative error = 0.0087934549832239563937785628328529 % h = 0.001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.6MB, time=45.05 NO POLE NO POLE x[1] = 0.256 y2[1] (analytic) = 1.2532129456460956185448600021744 y2[1] (numeric) = 1.2559670886580203367480578601125 absolute error = 0.0027541430119247182031978579381 relative error = 0.21976656253776696119386924377427 % h = 0.001 y1[1] (analytic) = 1.9674105664903745643477972964435 y1[1] (numeric) = 1.9672348028851440842724041384814 absolute error = 0.0001757636052304800753931579621 relative error = 0.0089337532401293010978963440498693 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.6MB, time=45.26 NO POLE NO POLE x[1] = 0.257 y2[1] (analytic) = 1.2541802294448886342471408644664 y2[1] (numeric) = 1.2569668305264215271489119602515 absolute error = 0.0027866010815328929017710957851 relative error = 0.22218505890228132656359478628234 % h = 0.001 y1[1] (analytic) = 1.967156869881687687811805175334 y1[1] (numeric) = 1.9669783359254678368871832451648 absolute error = 0.0001785339562198509246219301692 relative error = 0.0090757355935009208111953011170051 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.258 y2[1] (analytic) = 1.2551472590634733867458684974902 y2[1] (numeric) = 1.2579665713865066102600292036845 absolute error = 0.0028193123230332235141607061943 relative error = 0.22462004379763773718700304222696 % h = 0.001 y1[1] (analytic) = 1.9669022061162115259912621695806 y1[1] (numeric) = 1.9667208692244273463932287693985 absolute error = 0.0001813368917841795980334001821 relative error = 0.0092194157503255946982484616444888 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.6MB, time=45.46 NO POLE NO POLE x[1] = 0.259 y2[1] (analytic) = 1.256114033534820338042089265054 y2[1] (numeric) = 1.258966311238275922176449183669 absolute error = 0.002852277703455584134359918615 relative error = 0.22707155778118428690758450921161 % h = 0.001 y1[1] (analytic) = 1.9666465754486098231403503507787 y1[1] (numeric) = 1.9664624027830309287297793188135 absolute error = 0.0001841726655788944105710319652 relative error = 0.0093648074787857073049852437753632 % h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.6MB, time=45.67 NO POLE NO POLE x[1] = 0.26 y2[1] (analytic) = 1.2570805518921550973533884643652 y2[1] (numeric) = 1.2599660500817297989492214194816 absolute error = 0.0028854981895747015958329551164 relative error = 0.22953964129279190364250801625647 % h = 0.001 y1[1] (analytic) = 1.9663899781345132255582176464501 y1[1] (numeric) = 1.9662029366022868995000004422493 absolute error = 0.0001870415322263260582172042008 relative error = 0.0095119246083510735637936266346438 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.6MB, time=45.88 NO POLE NO POLE x[1] = 0.261 y2[1] (analytic) = 1.2580468131689593878882005439147 y2[1] (numeric) = 1.2609657879168685765852345324328 absolute error = 0.0029189747479091886970339885181 relative error = 0.23202433465543557650175412061067 % h = 0.001 y1[1] (analytic) = 1.9661324144305190259583528434479 y1[1] (numeric) = 1.9659424706832035739710287052395 absolute error = 0.0001899437473154519873241382084 relative error = 0.0096607810298711898930306447415896 % h = 0.001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.6MB, time=46.08 NO POLE NO POLE x[1] = 0.262 y2[1] (analytic) = 1.2590128163989720133640053518554 y2[1] (numeric) = 1.2619655247436925910470454220541 absolute error = 0.0029527083447205776830400701987 relative error = 0.23452567807577312726620985150178 % h = 0.001 y1[1] (analytic) = 1.9658738845941909068713142575752 y1[1] (numeric) = 1.9656810050267892670740159363221 absolute error = 0.0001928795674016397972983212531 relative error = 0.0098113906956679122325145216007446 % h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=46.29 NO POLE NO POLE x[1] = 0.263 y2[1] (analytic) = 1.2599785606161898242684438967593 y2[1] (numeric) = 1.2629652605622021782527084424573 absolute error = 0.002986699946012353984264545698 relative error = 0.23704371164472153828090052337199 % h = 0.001 y1[1] (analytic) = 1.9656143888840586830810686666656 y1[1] (numeric) = 1.9654185396340522934041736441729 absolute error = 0.0001958492500063896768950224927 relative error = 0.0099637676196285618607140703155781 % h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=46.50 NO POLE NO POLE x[1] = 0.264 y2[1] (analytic) = 1.2609440448548686838623873597158 y2[1] (numeric) = 1.2639649953723976740756045788661 absolute error = 0.0030209505175289902132172191503 relative error = 0.23957847533803084875647507697707 % h = 0.001 y1[1] (analytic) = 1.9653539275596180430951980707674 y1[1] (numeric) = 1.9651550745060009672208176055626 absolute error = 0.0001988530536170758743804652048 relative error = 0.010117925877299459843504274644439 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.265 y2[1] (analytic) = 1.2619092681495244339239933547858 y2[1] (numeric) = 1.26496472917427941434427062432 absolute error = 0.0030554610247549804202772695342 relative error = 0.24213000901685563140936548566886 % h = 0.001 y1[1] (analytic) = 1.9650925008813302896492328092017 y1[1] (numeric) = 1.9648906096436436024474126241376 absolute error = 0.0002018912376866872018201850641 relative error = 0.010273879605979890968521279917629 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.6MB, time=46.70 NO POLE NO POLE x[1] = 0.266 y2[1] (analytic) = 1.2628742295349338602327836938334 y2[1] (numeric) = 1.2659644619678477348422283565506 absolute error = 0.0030902324329138746094446627172 relative error = 0.2446983524283240613087059217518 % h = 0.001 y1[1] (analytic) = 1.9648301091106220792453705301393 y1[1] (numeric) = 1.9646251450479885126716174600234 absolute error = 0.0002049640626335665737530701159 relative error = 0.010431643004816498023325428280499 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=46.91 NO POLE NO POLE x[1] = 0.267 y2[1] (analytic) = 1.2638389280461356577927781717389 y2[1] (numeric) = 1.2669641937531029713078137150299 absolute error = 0.003125265706967313515035543291 relative error = 0.24728354520610458873612136167587 % h = 0.001 y1[1] (analytic) = 1.9645667525098851607258414739579 y1[1] (numeric) = 1.9643586807200440111453299302519 absolute error = 0.000208071789841149580511543706 relative error = 0.010591230334898107279767524717149 % h = 0.001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.6MB, time=47.12 NO POLE NO POLE x[1] = 0.268 y2[1] (analytic) = 1.2648033627184313957937191489395 y2[1] (numeric) = 1.2679639245300454594340059781914 absolute error = 0.0031605618116140636402868292519 relative error = 0.24988562687097022780287588477637 % h = 0.001 y1[1] (analytic) = 1.9643024313424761128811814969892 y1[1] (numeric) = 1.9640912166608184107847321800105 absolute error = 0.0002112146816577020964493169787 relative error = 0.01075265591935098605115127771494 % h = 0.001 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.6MB, time=47.32 NO POLE NO POLE x[1] = 0.269 y2[1] (analytic) = 1.265767532587386482309421970154 y2[1] (numeric) = 1.2689636542986755348682569408227 absolute error = 0.0031961217112890525588349706687 relative error = 0.25250463683136047250760586695829 % h = 0.001 y1[1] (analytic) = 1.9640371458727160810936752273647 y1[1] (numeric) = 1.9638227528713200241703361247149 absolute error = 0.0002143930013960569233391026498 relative error = 0.01091593414343453319299388030615 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=47.53 NO POLE NO POLE x[1] = 0.27 y2[1] (analytic) = 1.2667314366888311287322865210205 y2[1] (numeric) = 1.2699633830589935332123200916313 absolute error = 0.0032319463701624044800335706108 relative error = 0.25514061438394085185695038370536 % h = 0.001 y1[1] (analytic) = 1.9637708963658905130162327094922 y1[1] (numeric) = 1.9635532893525571635470290629038 absolute error = 0.0002176070133333494692036465884 relative error = 0.011081079454637403422407041890054 % h = 0.001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.6MB, time=47.73 NO POLE NO POLE x[1] = 0.271 y2[1] (analytic) = 1.267695074058861313943005488217 y2[1] (numeric) = 1.270963110810999790022079790982 absolute error = 0.003268036752138476079074302765 relative error = 0.25779359871416013561082822414677 % h = 0.001 y1[1] (analytic) = 1.9635036830882488932869638582654 y1[1] (numeric) = 1.963282826105538140824119459956 absolute error = 0.0002208569827107524628443983094 relative error = 0.011248106362774066335352508313454 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.272 y2[1] (analytic) = 1.2686584437338397482145051534362 y2[1] (numeric) = 1.2719628375546946408073804488069 absolute error = 0.0033043938208548925928752953707 relative error = 0.26046362889680520215389580537812 % h = 0.001 y1[1] (analytic) = 1.9632355063070044772797160084106 y1[1] (numeric) = 1.96301136313127126757538290263 absolute error = 0.0002241431757332097043331057806 relative error = 0.011417029440081801005269276136591 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=47.93 NO POLE NO POLE x[1] = 0.273 y2[1] (analytic) = 1.2696215447503968368491548173544 y2[1] (numeric) = 1.2729625632900784210318557026876 absolute error = 0.0033410185396815841827008853332 relative error = 0.26315074389655357993485080130482 % h = 0.001 y1[1] (analytic) = 1.9629663662903340238908408084099 y1[1] (numeric) = 1.9627389004307648550391082244255 absolute error = 0.0002274658595691688517325839844 relative error = 0.011587863321318127050824376387508 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.6MB, time=48.14 NO POLE NO POLE x[1] = 0.274 y2[1] (analytic) = 1.2705843761454316435482812164654 y2[1] (numeric) = 1.2739622880171514661127575961097 absolute error = 0.0033779118717198225644763796443 relative error = 0.26585498256852367385572031716114 % h = 0.001 y1[1] (analytic) = 1.9626962633073775273624576722117 y1[1] (numeric) = 1.9624654380050272141181438017662 absolute error = 0.0002308253023503132443138704455 relative error = 0.01176062270385867306480533322177 % h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=48.35 NO POLE NO POLE x[1] = 0.275 y2[1] (analytic) = 1.2715469369561128535130245633453 y2[1] (numeric) = 1.2749620117359141114207857568898 absolute error = 0.0034150747798012579077611935445 relative error = 0.26857638365882268793408781704365 % h = 0.001 y1[1] (analytic) = 1.9624251976282379481424819654439 y1[1] (numeric) = 1.9621909758550666553799440210052 absolute error = 0.0002342217731712927625379444387 relative error = 0.011935322347795483300450253509121 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.6MB, time=48.55 NO POLE NO POLE x[1] = 0.276 y2[1] (analytic) = 1.2725092262198797362755731095714 y2[1] (numeric) = 1.2759617344463666922799165757742 absolute error = 0.0034525082264869560043434662028 relative error = 0.27131498580509225550236762949243 % h = 0.001 y1[1] (analytic) = 1.9621531695239809427816870660775 y1[1] (numeric) = 1.961915513981891489056615916251 absolute error = 0.0002376555420894537250711498265 relative error = 0.012111977076035763515801034711341 % h = 0.001 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.6MB, time=48.76 NO POLE NO POLE x[1] = 0.277 y2[1] (analytic) = 1.2734712429744431082598134001431 y2[1] (numeric) = 1.2769614561485095439672323852106 absolute error = 0.0034902131740664357074189850675 relative error = 0.27407082753705178814972761164715 % h = 0.001 y1[1] (analytic) = 1.9618801792666345928680704024572 y1[1] (numeric) = 1.9616390523865100250449659780155 absolute error = 0.0002411268801245678231044244417 relative error = 0.012290601774401066880966450718744 % h = 0.001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.6MB, time=48.96 NO POLE NO POLE x[1] = 0.278 y2[1] (analytic) = 1.2744329862577862950704336588324 y2[1] (numeric) = 1.2779611768423430017127506382917 absolute error = 0.0035281905845567066423169794593 relative error = 0.27684394727703955455408735666602 % h = 0.001 y1[1] (analytic) = 1.9616062271291891329987945343101 y1[1] (numeric) = 1.9613615910699305729065471326826 absolute error = 0.0002446360592585600922474016275 relative error = 0.012471211391726920857494949259816 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.279 y2[1] (analytic) = 1.2753944551081660935095180154422 y2[1] (numeric) = 1.278960896527867400699253087871 absolute error = 0.0035664414197013071897350724288 relative error = 0.2796343833405515002937791058366 % h = 0.001 y1[1] (analytic) = 1.9613313133855966777899753047686 y1[1] (numeric) = 1.9610831300331614418677058927981 absolute error = 0.0002481833524352359222694119705 relative error = 0.012653820939962895963381930572221 % h = 0.001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.6MB, time=49.17 NO POLE NO POLE x[1] = 0.28 y2[1] (analytic) = 1.2763556485641137333196695584578 y2[1] (numeric) = 1.2799606152050830760621149658512 absolute error = 0.0036049666409693427424454073934 relative error = 0.28244217393677781967094921529394 % h = 0.001 y1[1] (analytic) = 1.9610554383107709479245900535965 y1[1] (numeric) = 1.9608036692772109408196296781805 absolute error = 0.000251769033560007104960375416 relative error = 0.012838445494273117341573136516027 % h = 0.001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.6MB, time=49.37 NO POLE NO POLE x[1] = 0.281 y2[1] (analytic) = 1.2773165656644358386527004700495 y2[1] (numeric) = 1.2809603328739903628891341626446 absolute error = 0.0036437672095545242364336925951 relative error = 0.28526735716913729052159757908656 % h = 0.001 y1[1] (analytic) = 1.9607786021805869952387798436879 y1[1] (numeric) = 1.9605232088030873783183943078518 absolute error = 0.0002553933774996169203855358361 relative error = 0.013025100193137220054174623244703 % h = 0.001 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.6MB, time=49.58 NO POLE NO POLE x[1] = 0.282 y2[1] (analytic) = 1.2782772054482153892629277748141 y2[1] (numeric) = 1.2819600495345895962203604068061 absolute error = 0.003682844086374206957432631992 relative error = 0.28810997103580938293029879236081 % h = 0.001 y1[1] (analytic) = 1.9605008052718809268468206145129 y1[1] (numeric) = 1.9602417486117990625850116627896 absolute error = 0.0002590566600818642618089517233 relative error = 0.013213800238451749028940680062468 % h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.6MB, time=49.79 NO POLE NO POLE x[1] = 0.283 y2[1] (analytic) = 1.2792375669548126814241135090431 y2[1] (numeric) = 1.2829597651868811110479244448382 absolute error = 0.0037221982320684296238109357951 relative error = 0.29097005343026415271112002892427 % h = 0.001 y1[1] (analytic) = 1.9602220478624496283050391375165 y1[1] (numeric) = 1.9599592887043543015054775194988 absolute error = 0.0002627591580953267995616180177 relative error = 0.013404560895632004588984054464594 % h = 0.001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.6MB, time=49.99 NO POLE NO POLE x[1] = 0.284 y2[1] (analytic) = 1.2801976492238662885690883936544 y2[1] (numeric) = 1.2839594798308652423158672211683 absolute error = 0.0037618306069989537467788275139 relative error = 0.29384764214178993046004460154772 % h = 0.001 y1[1] (analytic) = 1.9599423302310504858149506095312 y1[1] (numeric) = 1.959675829081761402630819554404 absolute error = 0.0002665011492890831841310551272 relative error = 0.013597397493714334501038009575793 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=930.8MB, alloc=4.6MB, time=50.20 x[1] = 0.285 y2[1] (analytic) = 1.2811574512952940216510983712452 y2[1] (numeric) = 1.2849591934665423249199690582985 absolute error = 0.0038017421712483032688706870533 relative error = 0.29674277485601881692832497560055 % h = 0.001 y1[1] (analytic) = 1.959661652657401107465895681044 y1[1] (numeric) = 1.9593913697450286731771455190611 absolute error = 0.0002702829123724342887501619829 relative error = 0.013792325425458873481997138163465 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.286 y2[1] (analytic) = 1.2821169722092938892259136459998 y2[1] (numeric) = 1.2859589060939126937075788371275 absolute error = 0.0038419338846188044816651911277 relative error = 0.29965548915544999541062263824905 % h = 0.001 y1[1] (analytic) = 1.9593800154221790435174556766546 y1[1] (numeric) = 1.9591059106951644200256915861893 absolute error = 0.0002741047270146234917640904653 relative error = 0.013989360147452731107873548359161 % h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.6MB, time=50.40 NO POLE NO POLE x[1] = 0.287 y2[1] (analytic) = 1.2830762110063450572537401444227 y2[1] (numeric) = 1.286958617712976683477443177445 absolute error = 0.0038824067066316262237030330223 relative error = 0.30258582251997087178654271932698 % h = 0.001 y1[1] (analytic) = 1.9590974188070215057219257252902 y1[1] (numeric) = 1.9588194519331769497228708665226 absolute error = 0.0002779668738445559990548587676 relative error = 0.014188517180213629073727084074637 % h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.6MB, time=50.61 NO POLE NO POLE x[1] = 0.288 y2[1] (analytic) = 1.2840351667272088086199735950659 y2[1] (numeric) = 1.2879583283237346289795356185981 absolute error = 0.0039231615965258203595620235322 relative error = 0.30553381232737605279923666206921 % h = 0.001 y1[1] (analytic) = 1.9588138630945250856871264776764 y1[1] (numeric) = 1.9585319934600745684803220964803 absolute error = 0.0002818696344505172068043811961 relative error = 0.014389812108293988757562708861278 % h = 0.001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.6MB, time=50.81 NO POLE NO POLE x[1] = 0.289 y2[1] (analytic) = 1.284993838412929502373836706576 y2[1] (numeric) = 1.2889580379261868649148858003302 absolute error = 0.0039641995132573625410490937542 relative error = 0.30849949585388417310012461207282 % h = 0.001 y1[1] (analytic) = 1.9585293485682454722798360482323 y1[1] (numeric) = 1.9582435352768655821749584966572 absolute error = 0.0002858132913798901048775515751 relative error = 0.014593260580385470045635130186641 % h = 0.001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.6MB, time=51.02 NO POLE NO POLE x[1] = 0.29 y2[1] (analytic) = 1.2859522251048355326839402055044 y2[1] (numeric) = 1.2899577465203337259354086437919 absolute error = 0.0040055214154981932514684382875 relative error = 0.31148291027465258153447860287757 % h = 0.001 y1[1] (analytic) = 1.9582438755126971680701247779319 y1[1] (numeric) = 1.9579540773845582963490168011328 absolute error = 0.0002897981281388717211079767991 relative error = 0.014798878309423962381060233690659 % h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.6MB, time=51.23 NO POLE NO POLE x[1] = 0.291 y2[1] (analytic) = 1.286910325844540287509808778398 y2[1] (numeric) = 1.2909574541061755466437335327248 absolute error = 0.0040471282616352591339247543268 relative error = 0.31448409266428989708860615228555 % h = 0.001 y1[1] (analytic) = 1.9579574442133532048168763737751 y1[1] (numeric) = 1.9576636197841610162101064575991 absolute error = 0.000293824429192188606769916176 relative error = 0.015006681072695029002104998269036 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=953.6MB, alloc=4.6MB, time=51.43 x[1] = 0.292 y2[1] (analytic) = 1.287868139673943106988413246727 y2[1] (numeric) = 1.291957160683712661593033494817 absolute error = 0.00408902100976955460462024809 relative error = 0.31750307999736644486567964174244 % h = 0.001 y1[1] (analytic) = 1.9576700549566448579947799393226 y1[1] (numeric) = 1.9573721624766820466312589983075 absolute error = 0.0002978924799628113635209410151 relative error = 0.015216684711939805341012335647907 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.293 y2[1] (analytic) = 1.2888256656352302415347505881947 y2[1] (numeric) = 1.2929568662529454052868543832309 absolute error = 0.0041312006177151637521037950362 relative error = 0.32053990914892258240386794419708 % h = 0.001 y1[1] (analytic) = 1.9573817080299613603630783692788 y1[1] (numeric) = 1.9570797054631296921509775818341 absolute error = 0.0003020025668316682121007874447 relative error = 0.015428905133461352558714806955929 % h = 0.001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.6MB, time=51.64 NO POLE NO POLE x[1] = 0.294 y2[1] (analytic) = 1.2897829027708758096555137039305 y2[1] (numeric) = 1.2939565708138741121789440583037 absolute error = 0.0041736680429983025234303543732 relative error = 0.32359461689497492659734131508262 % h = 0.001 y1[1] (analytic) = 1.9570924037216496145763595393507 y1[1] (numeric) = 1.9567862487445122569732867056632 absolute error = 0.0003061549771373576030728336875 relative error = 0.015643358308231467195301477360764 % h = 0.001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.6MB, time=51.84 NO POLE NO POLE x[1] = 0.295 y2[1] (analytic) = 1.2907398501236427554748931179768 y2[1] (numeric) = 1.29495627436649911667308156942 absolute error = 0.0042164242428563611981884514432 relative error = 0.32666723991302049142793670334516 % h = 0.001 y1[1] (analytic) = 1.956802142321013904837677680568 y1[1] (numeric) = 1.9564917923218380449677820895896 absolute error = 0.0003103499991758598698955909784 relative error = 0.015860060271997947920625342506241 % h = 0.001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.6MB, time=52.05 NO POLE NO POLE x[1] = 0.296 y2[1] (analytic) = 1.291696506736583805971553083346 y2[1] (numeric) = 1.2959559769108207531229063370565 absolute error = 0.0042594701742369471513532537105 relative error = 0.32975781478253874666278652283029 % h = 0.001 y1[1] (analytic) = 1.9565109241183156075942932849186 y1[1] (numeric) = 1.956196336196115359669680729938 absolute error = 0.0003145879222002479246125549806 relative error = 0.016079027125392320373974861953375 % h = 0.001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.6MB, time=52.25 NO POLE NO POLE x[1] = 0.297 y2[1] (analytic) = 1.2926528716530424279258248577527 y2[1] (numeric) = 1.2969556784468393558317473349991 absolute error = 0.0043028067937969279059224772464 relative error = 0.33286637798549160762102770849914 % h = 0.001 y1[1] (analytic) = 1.9562187494047729012763208465347 y1[1] (numeric) = 1.9558998803683525042798711246014 absolute error = 0.0003188690364203969964497219333 relative error = 0.016300275034038021086282229469856 % h = 0.001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.6MB, time=52.47 NO POLE NO POLE x[1] = 0.298 y2[1] (analytic) = 1.2936089439166537845761602019079 y2[1] (numeric) = 1.2979553789745552590524522727324 absolute error = 0.0043464350579014744762920708245 relative error = 0.33599296590682136606081774031288 % h = 0.001 y1[1] (analytic) = 1.9559256184725604750785746997598 y1[1] (numeric) = 1.9556024248395577816649636688961 absolute error = 0.0003231936330026934136110308637 relative error = 0.016523820228659041482903163703254 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=976.5MB, alloc=4.6MB, time=52.67 x[1] = 0.299 y2[1] (analytic) = 1.2945647225713456919838884439998 y2[1] (numeric) = 1.2989550784939687969872167780015 absolute error = 0.0043903559226231050033283340017 relative error = 0.33913761483494657218628843477351 % h = 0.001 y1[1] (analytic) = 1.9556315316148092367859041722236 y1[1] (numeric) = 1.955303969610739494357341222235 absolute error = 0.0003275620040697424285629499886 relative error = 0.016749679005189032969578279340399 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3 y2[1] (analytic) = 1.295520206661339575105320745685 y2[1] (numeric) = 1.2999547770050803037874135795457 absolute error = 0.0044345703437407286820928338607 relative error = 0.34230036096225587772276487642122 % h = 0.001 y1[1] (analytic) = 1.955336489125606019642310227568 y1[1] (numeric) = 1.9550045146829059445552098456181 absolute error = 0.0003319744427000750871003819499 relative error = 0.016977867724880874108774565533088 % h = 0.001 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.6MB, time=52.88 NO POLE NO POLE x[1] = 0.301 y2[1] (analytic) = 1.2964753952311514235702454975658 y2[1] (numeric) = 1.3009544745078901135534216900052 absolute error = 0.0044790792767386899831761924394 relative error = 0.34548124038559984995756409869266 % h = 0.001 y1[1] (analytic) = 1.9550404912999932882641367286816 y1[1] (numeric) = 1.9547040600570654341226497099397 absolute error = 0.0003364312429278541414870187419 relative error = 0.017208402814416700898207219310323 % h = 0.001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.6MB, time=53.08 NO POLE NO POLE x[1] = 0.302 y2[1] (analytic) = 1.2974302873255927471658590657366 y2[1] (numeric) = 1.3019541710023985603344555889992 absolute error = 0.0045238836768058131685965232626 relative error = 0.34868028910678076659296424544328 % h = 0.001 y1[1] (analytic) = 1.9547435384339688435976304082261 y1[1] (numeric) = 1.9544026057342262645896661751133 absolute error = 0.0003409326997425790079642331128 relative error = 0.017441300766018401167957123750135 % h = 0.001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.6MB, time=53.29 NO POLE NO POLE x[1] = 0.303 y2[1] (analytic) = 1.2983848819897715310251764055494 y2[1] (numeric) = 1.3029538664886059781283944063771 absolute error = 0.0045689844988344471032180008277 relative error = 0.3518975430330404012074981840664 % h = 0.001 y1[1] (analytic) = 1.9544456308244855269211645888734 y1[1] (numeric) = 1.9541001517153967371522410400129 absolute error = 0.0003454791090887897689235488605 relative error = 0.017676578137558574117227690227625 % h = 0.001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.6MB, time=53.51 NO POLE NO POLE x[1] = 0.304 y2[1] (analytic) = 1.2993391782690931905189663542671 y2[1] (numeric) = 1.3039535609665127008816111056416 absolute error = 0.0046143826974195103626447513745 relative error = 0.35513303797754580907157414237285 % h = 0.001 y1[1] (analytic) = 1.9541467687694509228924226510006 y1[1] (numeric) = 1.9537966980015851526723839632311 absolute error = 0.0003500707678657702200386877695 relative error = 0.017914251552671956016426666355846 % h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.6MB, time=53.72 NO POLE NO POLE x[1] = 0.305 y2[1] (analytic) = 1.3002931752092615258502567107484 y2[1] (numeric) = 1.3049532544361190624888016675439 absolute error = 0.0046600792268575366385449567955 relative error = 0.35838680965987312301355816050073 % h = 0.001 y1[1] (analytic) = 1.9538469525677270616408382006383 y1[1] (numeric) = 1.9534922445937998116781840546535 absolute error = 0.0003547079739272499626541459848 relative error = 0.018154337700867313104913914748619 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=999.4MB, alloc=4.6MB, time=53.92 x[1] = 0.306 y2[1] (analytic) = 1.3012468718562796763504545077395 y2[1] (numeric) = 1.3059529468974253967928142738516 absolute error = 0.0047060750411457204423597661121 relative error = 0.36165889370648936898286725307821 % h = 0.001 y1[1] (analytic) = 1.9535461825191301199055898452054 y1[1] (numeric) = 1.9531867914930490143638616378498 absolute error = 0.0003593910260811055417282073556 relative error = 0.018396853337639802719425157684257 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.307 y2[1] (analytic) = 1.3022002672564510744761271807312 y2[1] (numeric) = 1.3069526383504320375844784912888 absolute error = 0.0047523710939809631083513105576 relative error = 0.36494932565123231090731644480015 % h = 0.001 y1[1] (analytic) = 1.9532444589244301212194494390108 y1[1] (numeric) = 1.9528803387003410605898201832807 absolute error = 0.0003641202240890606296292557301 relative error = 0.0186418152845838036928643275952 % h = 0.001 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.6MB, time=54.13 NO POLE NO POLE x[1] = 0.308 y2[1] (analytic) = 1.30315336045638039950549063668 y2[1] (numeric) = 1.307952328795139318602434455648 absolute error = 0.004798968338758919096943818968 relative error = 0.36825814093578833439293556458004 % h = 0.001 y1[1] (analytic) = 1.9529417820853506351387836146492 y1[1] (numeric) = 1.9525728862166842498826984123209 absolute error = 0.0003688958686663852560852023283 relative error = 0.018889240429506217067853529799705 % h = 0.001 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.6MB, time=54.33 NO POLE NO POLE x[1] = 0.309 y2[1] (analytic) = 1.3041061505029745309336505261852 y2[1] (numeric) = 1.3089520182315475735329620560752 absolute error = 0.00484586772857304259931152989 relative error = 0.37158537491016837876572116131946 % h = 0.001 y1[1] (analytic) = 1.9526381523045684755200093702652 y1[1] (numeric) = 1.9522644340430868814354225720981 absolute error = 0.0003737182614815940845867981671 relative error = 0.019139145726540238174139780009017 % h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.6MB, time=54.54 NO POLE NO POLE x[1] = 0.31 y2[1] (analytic) = 1.305058636443443501565643323959 y2[1] (numeric) = 1.3099517066596571360098101195263 absolute error = 0.0048930702162136344441667955673 relative error = 0.37493106283318192690631345046806 % h = 0.001 y1[1] (analytic) = 1.9523335698857133978428054362022 y1[1] (numeric) = 1.9519549821805572541072588811472 absolute error = 0.000378587705156143735546555055 relative error = 0.019391548196259601123681692561572 % h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.6MB, time=54.75 NO POLE NO POLE x[1] = 0.311 y2[1] (analytic) = 1.3060108173253014503063241246284 y2[1] (numeric) = 1.3109513940794683396140255953964 absolute error = 0.004940576754166889307701470768 relative error = 0.37829523987290906228038613934152 % h = 0.001 y1[1] (analytic) = 1.9520280351333677955803820978034 y1[1] (numeric) = 1.9516445306301036664238661458802 absolute error = 0.0003835045032641291565159519232 relative error = 0.019646464925793296781977234857877 % h = 0.001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.6MB, time=54.95 NO POLE NO POLE x[1] = 0.312 y2[1] (analytic) = 1.3069626921963675746461483640617 y2[1] (numeric) = 1.3119510804909815178737827403214 absolute error = 0.0049883882946139432276343762597 relative error = 0.38167794110717060251960664498009 % h = 0.001 y1[1] (analytic) = 1.9517215483530663956171131040662 y1[1] (numeric) = 1.9513330793927344165773485478715 absolute error = 0.0003884689603319790397645561947 relative error = 0.01990391306894076527894559650954 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1022.3MB, alloc=4.6MB, time=55.16 x[1] = 0.313 y2[1] (analytic) = 1.3079142601047670828418949805147 y2[1] (numeric) = 1.3129507658941970042642123031516 absolute error = 0.0050365057894299214223173226369 relative error = 0.38507920152399631886036395804768 % h = 0.001 y1[1] (analytic) = 1.9514141098512959527138342444951 y1[1] (numeric) = 1.9510206284694578024263086019582 absolute error = 0.0003934813818381502875256425369 relative error = 0.020163909846287564127442218246858 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.314 y2[1] (analytic) = 1.3088655200989321457913788349557 y2[1] (numeric) = 1.3139504502891151322072307100975 absolute error = 0.0050849301901829864158518751418 relative error = 0.38849905602209125070006957554078 % h = 0.001 y1[1] (analytic) = 1.9511057199354949430211141288279 y1[1] (numeric) = 1.9507071778612821214959002851551 absolute error = 0.0003985420742128215252138436728 relative error = 0.020426472545321513022266153465024 % h = 0.001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.6MB, time=55.36 NO POLE NO POLE x[1] = 0.315 y2[1] (analytic) = 1.309816471227602848601200515934 y2[1] (numeric) = 1.3149501336757362350713692500484 absolute error = 0.0051336624481333864701687341144 relative error = 0.39193753941130012448371189311207 % h = 0.001 y1[1] (analytic) = 1.9507963789140532566408036563392 y1[1] (numeric) = 1.9503927275692156709778823363849 absolute error = 0.0004036513448375856629213199543 relative error = 0.02069161852054931639731326437029 % h = 0.001 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.6MB, time=55.57 NO POLE NO POLE x[1] = 0.316 y2[1] (analytic) = 1.3107671125398281418465819613222 y2[1] (numeric) = 1.3159498160540606461716032600628 absolute error = 0.0051827035142325043250212987406 relative error = 0.39539468641306988608648459149843 % h = 0.001 y1[1] (analytic) = 1.9504860870963118892361716131461 y1[1] (numeric) = 1.9500772775942667477306717270229 absolute error = 0.0004088095020451415054998861232 relative error = 0.020959365193613664823337354282988 % h = 0.001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.6MB, time=55.78 NO POLE NO POLE x[1] = 0.317 y2[1] (analytic) = 1.3117174430849667925223366371764 y2[1] (numeric) = 1.3169494974240886987691813110314 absolute error = 0.005232054339121906246844673855 relative error = 0.39887053166091035581171326132207 % h = 0.001 y1[1] (analytic) = 1.9501748447925626326909347873552 y1[1] (numeric) = 1.9497608279374436482793973022556 absolute error = 0.0004140168551189844115374850996 relative error = 0.021229730053410816333604277468215 % h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.6MB, time=55.98 NO POLE NO POLE x[1] = 0.318 y2[1] (analytic) = 1.3126674619126883346840233228225 y2[1] (numeric) = 1.3179491777858207260714543935121 absolute error = 0.0052817158731323913874310706896 relative error = 0.40236510970085301507697018546353 % h = 0.001 y1[1] (analytic) = 1.9498626523140477648174919429938 y1[1] (numeric) = 1.9494433785997546688159535932544 absolute error = 0.0004192737142930960015383497394 relative error = 0.021502730656208658769561417740394 % h = 0.001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.6MB, time=56.19 NO POLE NO POLE x[1] = 0.319 y2[1] (analytic) = 1.3136171680729740197783328610944 y2[1] (numeric) = 1.3189488571392570612317051037375 absolute error = 0.0053316890662830414533722426431 relative error = 0.40587845499190793381519324873127 % h = 0.001 y1[1] (analytic) = 1.9495495099729597381146719444671 y1[1] (numeric) = 1.9491249295822081051990548001627 absolute error = 0.0004245803907516329156171443044 relative error = 0.021778384625765254243496757952483 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1045.2MB, alloc=4.6MB, time=56.40 x[1] = 0.32 y2[1] (analytic) = 1.3145665606161177666617575434172 y2[1] (numeric) = 1.3199485354843980373489768297946 absolute error = 0.0053819748682802706872192863774 relative error = 0.40941060190651884757180979133574 % h = 0.001 y1[1] (analytic) = 1.9492354180824408675753072737661 y1[1] (numeric) = 1.9488054808858122529542889458973 absolute error = 0.0004299371966286146210183278688 relative error = 0.022056709653447866820028143825304 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.321 y2[1] (analytic) = 1.3155156385927271113065931111435 y2[1] (numeric) = 1.3209482128212439874679029379769 absolute error = 0.0054325742285168761613098268334 relative error = 0.41296158473101639323330829719848 % h = 0.001 y1[1] (analytic) = 1.9489203769565830175439451328269 y1[1] (numeric) = 1.9484850325115754072741722007631 absolute error = 0.0004353444450076102697729320638 relative error = 0.022337723498352474523144349226032 % h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.6MB, time=56.60 NO POLE NO POLE x[1] = 0.322 y2[1] (analytic) = 1.3164644010537241561933236672222 y2[1] (numeric) = 1.3219478891497952445785359593085 absolute error = 0.0054834880960710883852122920863 relative error = 0.41653143766606951227739855094086 % h = 0.001 y1[1] (analytic) = 1.9486043869104272876250092733052 y1[1] (numeric) = 1.948163584460505863018203377882 absolute error = 0.0004408024499214246068058954232 relative error = 0.022621443987423766780415246352161 % h = 0.001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.6MB, time=56.81 NO POLE NO POLE x[1] = 0.323 y2[1] (analytic) = 1.3174128470503465193884401058919 y2[1] (numeric) = 1.322947564470052141616176776241 absolute error = 0.0055347174197056222277366703491 relative error = 0.42012019482713503038985276148665 % h = 0.001 y1[1] (analytic) = 1.948287448259963697641726645576 y1[1] (numeric) = 1.9478411367336119147129185994347 absolute error = 0.0004463115263517829288080461413 relative error = 0.022907889015575628420898844905668 % h = 0.001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.6MB, time=57.01 NO POLE NO POLE x[1] = 0.324 y2[1] (analytic) = 1.3183609756341482833067429826609 y2[1] (numeric) = 1.323947238782015011461203809522 absolute error = 0.0055862631478667281544608268611 relative error = 0.42372789024490542224832459577583 % h = 0.001 y1[1] (analytic) = 1.9479695613221308716461339080079 y1[1] (numeric) = 1.9475176893319018565519461337157 absolute error = 0.0004518719902290150941877742922 relative error = 0.02319707654581211134819826102311 % h = 0.001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.6MB, time=57.22 NO POLE NO POLE x[1] = 0.325 y2[1] (analytic) = 1.3193087858570009431571810623496 y2[1] (numeric) = 1.3249469120856841869389022052364 absolute error = 0.0056381262286832437817211428868 relative error = 0.42735455786575477022889856659433 % h = 0.001 y1[1] (analytic) = 1.9476507264148157209804797864775 y1[1] (numeric) = 1.9471932422563839823960614030017 absolute error = 0.0004574841584317385844183834758 relative error = 0.023489024609348895015061880828002 % h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.6MB, time=57.42 NO POLE NO POLE x[1] = 0.326 y2[1] (analytic) = 1.3202562767710943550712770994355 y2[1] (numeric) = 1.3259465843810600008192930220199 absolute error = 0.0056903076099656457480159225844 relative error = 0.431000231552182925746827254702 % h = 0.001 y1[1] (analytic) = 1.9473309438568531263903402226954 y1[1] (numeric) = 1.9468677955080665857732421622327 absolute error = 0.0004631483487865406170980604627 relative error = 0.023783751305735236830875167828061 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1068.1MB, alloc=4.6MB, time=57.63 x[1] = 0.327 y2[1] (analytic) = 1.3212034474289376839131927223542 y2[1] (numeric) = 1.3269462556681427858169624184447 absolute error = 0.0057428082392051019037696960905 relative error = 0.43466494508325788189886690977146 % h = 0.001 y1[1] (analytic) = 1.9470102139680256191897641982033 y1[1] (numeric) = 1.9465413490879579598787238485054 absolute error = 0.0004688648800676593110403496979 relative error = 0.024081274802976413638362799964739 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.328 y2[1] (analytic) = 1.3221502968833603507704846117713 y2[1] (numeric) = 1.3279459259469328745908908405775 absolute error = 0.0057956290635725238204062288062 relative error = 0.43834873215505636603082156866859 % h = 0.001 y1[1] (analytic) = 1.9466885370690630614787690688678 y1[1] (numeric) = 1.9462139029970663975750551013801 absolute error = 0.0004746340719966639037139674877 relative error = 0.024381613337656655400805183487775 % h = 0.001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.6MB, time=57.83 NO POLE NO POLE x[1] = 0.329 y2[1] (analytic) = 1.3230968241875129801246044821466 y2[1] (numeric) = 1.3289455952174305997442822097096 absolute error = 0.005848771029917619619677727563 relative error = 0.44205162638110266081035046509812 % h = 0.001 y1[1] (analytic) = 1.9463659134816423254135051923513 y1[1] (numeric) = 1.9458854572364001913921534539987 absolute error = 0.0004804562452421340213517383526 relative error = 0.024684785215062572246073950887371 % h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.6MB, time=58.04 NO POLE NO POLE x[1] = 0.33 y2[1] (analytic) = 1.3240430283948683467001956961702 y2[1] (numeric) = 1.3299452634796362938243931102599 absolute error = 0.0059022350847679471241974140897 relative error = 0.44577366129280566234178170248891 % h = 0.001 y1[1] (analytic) = 1.9460423435283869715294105783662 y1[1] (numeric) = 1.9455560118069676335273611950161 absolute error = 0.0004863317214193380020493833501 relative error = 0.024990808809307076018806880584911 % h = 0.001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.6MB, time=58.25 NO POLE NO POLE x[1] = 0.331 y2[1] (analytic) = 1.3249889085592223219922396628531 y2[1] (numeric) = 1.3309449307335502893223619778492 absolute error = 0.0059560221743279673301223149961 relative error = 0.44951487033989418381660545331008 % h = 0.001 y1[1] (analytic) = 1.9457178275328669261176772385331 y1[1] (numeric) = 1.9452255667097770158455014013427 absolute error = 0.0004922608230899102721758371904 relative error = 0.025299702563453797497073852369721 % h = 0.001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.6MB, time=58.46 NO POLE NO POLE x[1] = 0.332 y2[1] (analytic) = 1.3259344637346948204701054922043 y2[1] (numeric) = 1.3319445969791729186730382875479 absolute error = 0.0060101332444780982029327953436 relative error = 0.45327528689085051315049087392649 % h = 0.001 y1[1] (analytic) = 1.9453923658195981576553518593481 y1[1] (numeric) = 1.9448941219458366298789341416993 absolute error = 0.0004982438737615277764177176488 relative error = 0.025611484989642000434932046690287 % h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.6MB, time=58.67 NO POLE NO POLE x[1] = 0.333 y2[1] (analytic) = 1.3268796929757307454575567025243 y2[1] (numeric) = 1.3329442622165045142548117422951 absolute error = 0.0060645692407737687972550397708 relative error = 0.45705494423334223301508103348408 % h = 0.001 y1[1] (analytic) = 1.9450659587140423522893943681328 y1[1] (numeric) = 1.9445616775161547668276128509832 absolute error = 0.0005042811978875854617815171496 relative error = 0.02592617466921199359733068349174 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1091.0MB, alloc=4.6MB, time=58.87 x[1] = 0.334 y2[1] (analytic) = 1.3278245953371009346877691003853 y2[1] (numeric) = 1.3339439264455454083894414614905 absolute error = 0.0061193311084444737016723611052 relative error = 0.46085387557465231163046800931644 % h = 0.001 y1[1] (analytic) = 1.9447386065426065883750189078808 y1[1] (numeric) = 1.9442282334217397175591408754463 absolute error = 0.0005103731208668708158780324345 relative error = 0.02624379025283104195890325060628 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.335 y2[1] (analytic) = 1.3287691698739031055324142783622 y2[1] (numeric) = 1.3349435896662959333418851697581 absolute error = 0.0061744197923928278094708913959 relative error = 0.46467211404210747264213446709763 % h = 0.001 y1[1] (analytic) = 1.9444103096326430100686426826321 y1[1] (numeric) = 1.9438937896635997726088281886842 absolute error = 0.0005165199690432374598144939479 relative error = 0.026564350460619778243278468206601 % h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.6MB, time=59.08 NO POLE NO POLE x[1] = 0.336 y2[1] (analytic) = 1.3297134156415627999038635015058 y2[1] (numeric) = 1.3359432518787564213201283858828 absolute error = 0.006229836237193621416264884377 relative error = 0.46850969268350485236426710199715 % h = 0.001 y1[1] (analytic) = 1.9440810683124484999757690804005 y1[1] (numeric) = 1.9435583462427432221797482784364 absolute error = 0.0005227220697052777960208019641 relative error = 0.026887874082279115984650249139898 % h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.6MB, time=59.28 NO POLE NO POLE x[1] = 0.337 y2[1] (analytic) = 1.3306573316958343288295670804365 y2[1] (numeric) = 1.3369429130829272044750136119189 absolute error = 0.0062855813870928756454465314824 relative error = 0.47236664446753695262969985233954 % h = 0.001 y1[1] (analytic) = 1.943750882911264350854132425743 y1[1] (numeric) = 1.9432219031601783561427952041978 absolute error = 0.0005289797510859947113372215452 relative error = 0.027214379977217665298471720286138 % h = 0.001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.6MB, time=59.49 NO POLE NO POLE x[1] = 0.338 y2[1] (analytic) = 1.331600917092801716697664656756 y2[1] (numeric) = 1.337942573278808614900069522471 absolute error = 0.006341656186006898202404865715 relative error = 0.47624300228421489744532940914402 % h = 0.001 y1[1] (analytic) = 1.9434197537592759363724326587988 y1[1] (numeric) = 1.9428844604169134640367408256406 absolute error = 0.0005352933423624723356918331582 relative error = 0.027543887074679652553279043279631 % h = 0.001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.6MB, time=59.70 NO POLE NO POLE x[1] = 0.339 y2[1] (analytic) = 1.332544170888879645172882155245 y2[1] (numeric) = 1.3389422324664009846313401541469 absolute error = 0.0063980615775213394584579989019 relative error = 0.48013879894529000161066083742489 % h = 0.001 y1[1] (analytic) = 1.9430876811876123809249891820363 y1[1] (numeric) = 1.9425460180139568350682922018472 absolute error = 0.0005416631736555458566969801891 relative error = 0.027876414373873345140807389576455 % h = 0.001 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.6MB, time=59.91 NO POLE NO POLE x[1] = 0.34 y2[1] (analytic) = 1.3334870921408143967817714870308 y2[1] (numeric) = 1.3399418906457046456472140951832 absolute error = 0.0064547985048902488654426081524 relative error = 0.48405406718467365941618571402409 % h = 0.001 y1[1] (analytic) = 1.9427546655283462285026440600266 y1[1] (numeric) = 1.9422065759523167581121491613534 absolute error = 0.0005480895760294703904948986732 relative error = 0.028211980944099982546734061268324 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1113.9MB, alloc=4.6MB, time=60.11 x[1] = 0.341 y2[1] (analytic) = 1.334429679905684798166349418561 y2[1] (numeric) = 1.3409415478167199298682536752431 absolute error = 0.0065118679110351317019042566821 relative error = 0.48798883965885556149756769636596 % h = 0.001 y1[1] (analytic) = 1.9424207071144931106202457013121 y1[1] (numeric) = 1.9418661342330015217110620430017 absolute error = 0.0005545728814915889091836583104 relative error = 0.02855060592488321492957248152995 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.342 y2[1] (analytic) = 1.3353719332409031630051923528251 y2[1] (numeric) = 1.3419412039794471691570241553863 absolute error = 0.0065692707385440061518318025612 relative error = 0.49194314894732024788110949882625 % h = 0.001 y1[1] (analytic) = 1.9420858062800114133010450948604 y1[1] (numeric) = 1.9415246928570194140758896076051 absolute error = 0.0005611134229919992251554872553 relative error = 0.028892308526099050420445684099108 % h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.6MB, time=60.32 NO POLE NO POLE x[1] = 0.343 y2[1] (analytic) = 1.336313851204216234601044101807 y2[1] (numeric) = 1.3429408591338866953179229182113 absolute error = 0.0066270079296704607168788164043 relative error = 0.49591702755296200521569951143415 % h = 0.001 y1[1] (analytic) = 1.9417499633598019431183376166772 y1[1] (numeric) = 1.9411822518253787230856571204206 absolute error = 0.0005677115344232200326804962566 relative error = 0.029237108028106312361689086422874 % h = 0.001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.6MB, time=60.53 NO POLE NO POLE x[1] = 0.344 y2[1] (analytic) = 1.3372554328537061281339940626387 y2[1] (numeric) = 1.3439405132800388400970086581699 absolute error = 0.0066850804263327119630145955312 relative error = 0.49991050790249811614638439916821 % h = 0.001 y1[1] (analytic) = 1.9414131786897075922946843649114 y1[1] (numeric) = 1.9408388111390877362876146044324 absolute error = 0.000574367550619856007069760479 relative error = 0.029585023781877607707469813983775 % h = 0.001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.6MB, time=60.73 NO POLE NO POLE x[1] = 0.345 y2[1] (analytic) = 1.338196677247791272579283544357 y2[1] (numeric) = 1.3449401664179039351818305720541 absolute error = 0.0067434891701126626025470276971 relative error = 0.50392362234688046874488462886045 % h = 0.001 y1[1] (analytic) = 1.9410754526065130028590479241997 y1[1] (numeric) = 1.9404943707991547408972952644449 absolute error = 0.0005810818073582619617526597548 relative error = 0.029936075209130807814863730580233 % h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.6MB, time=60.94 NO POLE NO POLE x[1] = 0.346 y2[1] (analytic) = 1.3391375834452273522887983275334 y2[1] (numeric) = 1.3459398185474823122012575496552 absolute error = 0.0068022351022549599124592221218 relative error = 0.50795640316170553387276165322671 % h = 0.001 y1[1] (analytic) = 1.9407367854479442298621784020909 y1[1] (numeric) = 1.9401489308065880237985740819852 absolute error = 0.0005878546413562060636043201057 relative error = 0.03029028180246104285910170021362 % h = 0.001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.6MB, time=61.14 NO POLE NO POLE x[1] = 0.347 y2[1] (analytic) = 1.3400781505051082482353058753646 y2[1] (numeric) = 1.3469394696687743027253073645954 absolute error = 0.0068613191636660544900014892308 relative error = 0.51200888254762271831355711378872 % h = 0.001 y1[1] (analytic) = 1.9403971775526684036505865221322 y1[1] (numeric) = 1.9398024911623958715437265810145 absolute error = 0.0005946863902725321068599411177 relative error = 0.030647663125473211111983537482325 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1136.8MB, alloc=4.6MB, time=61.35 x[1] = 0.348 y2[1] (analytic) = 1.3410183774868669789184959520651 y2[1] (numeric) = 1.3479391197817802382649758653312 absolute error = 0.0069207422949132593464799132661 relative error = 0.51608109263074110147105459250371 % h = 0.001 y1[1] (analytic) = 1.9400566292602933911994414996184 y1[1] (numeric) = 1.9394550518675865703534877644487 absolute error = 0.0006015773927068208459537351697 relative error = 0.031008238812915004327761674965713 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.349 y2[1] (analytic) = 1.3419582634502766409318837425973 y2[1] (numeric) = 1.3489387688865004502720661663296 absolute error = 0.0069805054362238093401824237323 relative error = 0.52017306546303456339186183972999 % h = 0.001 y1[1] (analytic) = 1.9397151409113674565047323670778 y1[1] (numeric) = 1.9391066129231684061171112214883 absolute error = 0.0006085279881990503876211455895 relative error = 0.031372028570810450486116865897988 % h = 0.001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.6MB, time=61.55 NO POLE NO POLE x[1] = 0.35 y2[1] (analytic) = 1.3428978074554513491896349069176 y2[1] (numeric) = 1.3499384169829352701390178394163 absolute error = 0.0070406095274839209493829324987 relative error = 0.52428483302274531183177473489181 % h = 0.001 y1[1] (analytic) = 1.9393727128473789200350323573037 y1[1] (numeric) = 1.9387571743301496643924284057564 absolute error = 0.0006155385172292556426039515473 relative error = 0.031739052176593975147185328126314 % h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.6MB, time=61.76 NO POLE NO POLE x[1] = 0.351 y2[1] (analytic) = 1.3438370085628471768123723419896 y2[1] (numeric) = 1.3509380640710850291987361052964 absolute error = 0.0071010555082378523863637633068 relative error = 0.52841642721478581604686220856846 % h = 0.001 y1[1] (analytic) = 1.9390293454107558172432068921403 y1[1] (numeric) = 1.9384067360895386304059080842459 absolute error = 0.0006226093212171868372988078944 relative error = 0.032109329479244982678950700359411 % h = 0.001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.6MB, time=61.96 NO POLE NO POLE x[1] = 0.352 y2[1] (analytic) = 1.3447758658332630946710247658361 y2[1] (numeric) = 1.3519377101509500587244210252469 absolute error = 0.0071618443176869640533962594108 relative error = 0.53256787987113915495190268799022 % h = 0.001 y1[1] (analytic) = 1.9386850389448655561384066652863 y1[1] (numeric) = 1.9380552982023435890527159570746 absolute error = 0.0006297407425219670856907082117 relative error = 0.032482880399422958622685103807375 % h = 0.001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.6MB, time=62.17 NO POLE NO POLE x[1] = 0.353 y2[1] (analytic) = 1.345714378327841910587777579861 y2[1] (numeric) = 1.3529373552225306899293966929822 absolute error = 0.0072229768946887793416191131212 relative error = 0.53673922275125778725070605055254 % h = 0.001 y1[1] (analytic) = 1.9383397937940145739186882470937 y1[1] (numeric) = 1.9377028606695728248967744480487 absolute error = 0.000636933124441749021913799045 relative error = 0.032859724929603094467511561473341 % h = 0.001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.6MB, time=62.38 NO POLE NO POLE x[1] = 0.354 y2[1] (analytic) = 1.3466525451080712081931868085672 y2[1] (numeric) = 1.3539369992858272539669404266913 absolute error = 0.0072844541777560457737536181241 relative error = 0.54093048754246075110496931723429 % h = 0.001 y1[1] (analytic) = 1.9379936103034479926646055787134 y1[1] (numeric) = 1.9373494234922346221708226660345 absolute error = 0.0006441868112133704937829126789 relative error = 0.033239883134212436110565104435015 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1159.6MB, alloc=4.6MB, time=62.58 x[1] = 0.355 y2[1] (analytic) = 1.3475903652357842854385172596347 y2[1] (numeric) = 1.3549366423408400819301119612475 absolute error = 0.0073462771050557964915947016128 relative error = 0.54514170586032930087063813360168 % h = 0.001 y1[1] (analytic) = 1.937646488819349274094116661967 y1[1] (numeric) = 1.9369949866713372647764765371376 absolute error = 0.0006515021480120093176401248294 relative error = 0.033623375149766557284652169806003 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.356 y2[1] (analytic) = 1.3485278377731610927623663921003 y2[1] (numeric) = 1.3559362843875695048515826405904 absolute error = 0.0074084466144084120892162484901 relative error = 0.54937290924910098839327822200803 % h = 0.001 y1[1] (analytic) = 1.9372984296888398733791506900099 y1[1] (numeric) = 1.9366395502078890362842891076903 absolute error = 0.0006588794809508370948615823196 relative error = 0.034010221185006759240747449958716 % h = 0.001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.6MB, time=62.79 NO POLE NO POLE x[1] = 0.357 y2[1] (analytic) = 1.3494649617827291709106357260919 y2[1] (numeric) = 1.3569359254260158537034646102803 absolute error = 0.0074709636432866827928288841884 relative error = 0.55362412918206219631670020528154 % h = 0.001 y1[1] (analytic) = 1.9369494332599788920241818021889 y1[1] (numeric) = 1.9362831141028982199338110180461 absolute error = 0.0006663191570806720903707841428 relative error = 0.034400441521037797978124268461197 % h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.6MB, time=62.99 NO POLE NO POLE x[1] = 0.358 y2[1] (analytic) = 1.3504017363273645884089119742243 y2[1] (numeric) = 1.3579355654561794593971400102245 absolute error = 0.0075338291288148709882280360002 relative error = 0.55789539706193913082202626682207 % h = 0.001 y1[1] (analytic) = 1.9365994998817627298071565844923 y1[1] (numeric) = 1.9359256783573730986336511471818 absolute error = 0.0006738215243896311735054373105 relative error = 0.034794056511466140320388916694422 % h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.6MB, time=63.21 NO POLE NO POLE x[1] = 0.359 y2[1] (analytic) = 1.3513381604702928786863204223547 y2[1] (numeric) = 1.3589352044780606527830901675763 absolute error = 0.0075970440077677740967697452216 relative error = 0.56218674422128728117753680107284 % h = 0.001 y1[1] (analytic) = 1.9362486299041247357831233746356 y1[1] (numeric) = 1.9355672429723219549615374281067 absolute error = 0.0006813869318027808215859465289 relative error = 0.035191086582538750141181268363734 % h = 0.001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.6MB, time=63.42 NO POLE NO POLE x[1] = 0.36 y2[1] (analytic) = 1.3522742332750899768499134359207 y2[1] (numeric) = 1.359934842491659764650724789806 absolute error = 0.0076606092165697878008113538853 relative error = 0.56649820192287935344298830553943 % h = 0.001 y1[1] (analytic) = 1.9358968236779348583509123681247 y1[1] (numeric) = 1.9352078079487530711643778340788 absolute error = 0.0006890157291817871865345340459 relative error = 0.035591552233282406048813479504318 % h = 0.001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.6MB, time=63.62 NO POLE NO POLE x[1] = 0.361 y2[1] (analytic) = 1.353209953805683156108657317552 y2[1] (numeric) = 1.3609344794969771257282111579444 absolute error = 0.0077245256912939696195538403924 relative error = 0.57082980136009168563564906214755 % h = 0.001 y1[1] (analytic) = 1.935544081554999294383216458587 y1[1] (numeric) = 1.934847373287674729158321535628 absolute error = 0.000696708267324565224894922959 relative error = 0.035995474035643551844645761754402 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.362 memory used=1182.5MB, alloc=4.6MB, time=63.83 y2[1] (analytic) = 1.3541453211263519638460810920458 y2[1] (numeric) = 1.3619341154940130666823033199984 absolute error = 0.0077887943676611028362222279526 relative error = 0.5751815736572891516290554518177 % h = 0.001 y1[1] (analytic) = 1.9351904038880601374204236822605 y1[1] (numeric) = 1.9344859389900952105288202283857 absolute error = 0.0007044648979649268916034538748 relative error = 0.036402872634628681075543169827312 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.363 y2[1] (analytic) = 1.3550803343017291573406511461367 y2[1] (numeric) = 1.3629337504827679181181712845389 absolute error = 0.0078534161810387607775201384022 relative error = 0.57955354987020856101944784823255 % h = 0.001 y1[1] (analytic) = 1.9348357910307950249285530727796 y1[1] (numeric) = 1.9341235050570227965306896317211 absolute error = 0.0007122859737722283978634410585 relative error = 0.036813768748445257006320153453187 % h = 0.001 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.6MB, time=64.03 NO POLE NO POLE x[1] = 0.364 y2[1] (analytic) = 1.3560149923968016391329360027619 y2[1] (numeric) = 1.3639333844632420105792302144613 absolute error = 0.0079183920664403714462942116994 relative error = 0.58394576098634056215899976050401 % h = 0.001 y1[1] (analytic) = 1.9344802433378167846216466682912 y1[1] (numeric) = 1.9337600714894657680881711581838 absolute error = 0.0007201718483510165334755101074 relative error = 0.037228183168643169343660373374739 % h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.6MB, time=64.25 NO POLE NO POLE x[1] = 0.365 y2[1] (analytic) = 1.3569492944769113920386258627375 y2[1] (numeric) = 1.3649330174354356745469696209178 absolute error = 0.0079837229585242825083437581803 relative error = 0.58835823792531005551930606102818 % h = 0.001 y1[1] (analytic) = 1.9341237611646730798489713484808 y1[1] (numeric) = 1.9333956382884324057949937537525 absolute error = 0.0007281228762406740539775947283 relative error = 0.037646136760256729048598054494741 % h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.6MB, time=64.46 NO POLE NO POLE x[1] = 0.366 y2[1] (analytic) = 1.357883239607756413806471900903 y2[1] (numeric) = 1.3659326493993492404407825574222 absolute error = 0.0080494097915928266343106565192 relative error = 0.59279101153925512451314457593047 % h = 0.001 y1[1] (analytic) = 1.9337663448678460540473851142766 y1[1] (numeric) = 1.9330302054549309899144359088896 absolute error = 0.000736139412915064132949205387 relative error = 0.038067650461947202580264031018319 % h = 0.001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.6MB, time=64.66 NO POLE NO POLE x[1] = 0.367 y2[1] (analytic) = 1.3588168268553916514202106588722 y2[1] (numeric) = 1.3669322803549830386177948141272 absolute error = 0.008115453499591387197584155255 relative error = 0.59724411261320449086726886732539 % h = 0.001 y1[1] (analytic) = 1.9334079948047519742592233578357 y1[1] (numeric) = 1.9326637729899698003793878404019 absolute error = 0.0007442218147821738798355174338 relative error = 0.038492745286145886919234713448886 % h = 0.001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.6MB, time=64.87 NO POLE NO POLE x[1] = 0.368 y2[1] (analytic) = 1.3597500552862299350435392325448 y2[1] (numeric) = 1.3679319103023373993726941122735 absolute error = 0.0081818550161074643291548797287 relative error = 0.60171757186545350160392754466382 % h = 0.001 y1[1] (analytic) = 1.9330487113337408737160616048967 y1[1] (numeric) = 1.9322963408945571167924138441067 absolute error = 0.00075237043918375692364776079 relative error = 0.038921442319197726724475560601317 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.369 y2[1] (analytic) = 1.3606829239670429116072073094816 y2[1] (numeric) = 1.3689315392414126529375592988117 absolute error = 0.0082486152743697413303519893301 relative error = 0.60621141994793865465393575949246 % h = 0.001 y1[1] (analytic) = 1.9326884948140961934887121457059 y1[1] (numeric) = 1.9319279091697012184258148183033 absolute error = 0.0007605856443949750628973274026 relative error = 0.039353762721505474983542356632881 % h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.6MB, time=65.07 NO POLE NO POLE x[1] = 0.37 y2[1] (analytic) = 1.3616154319649619780372924691272 y2[1] (numeric) = 1.3699311671722091294816895411961 absolute error = 0.0083157352072471514443970720689 relative error = 0.61072568744661067008944652334826 % h = 0.001 y1[1] (analytic) = 1.9323273456060344232038129044909 y1[1] (numeric) = 1.93155847781641038422169095805 absolute error = 0.0007688677896240389821219464409 relative error = 0.039789727727674398521393759437346 % h = 0.001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.6MB, time=65.28 NO POLE NO POLE x[1] = 0.371 y2[1] (analytic) = 1.3625475783474792141237255176854 y2[1] (numeric) = 1.3709307940947271591114335223509 absolute error = 0.0083832157472479449877080046655 relative error = 0.61526040488180611393008200927267 % h = 0.001 y1[1] (analytic) = 1.9319652640707047408273678308622 y1[1] (numeric) = 1.9311880468356928927920046202462 absolute error = 0.000777217235011848035363210616 relative error = 0.040229358646657529738877288577538 % h = 0.001 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.6MB, time=65.49 NO POLE NO POLE x[1] = 0.372 y2[1] (analytic) = 1.3634793621824483150281329891974 y2[1] (numeric) = 1.371930420008967071870018635809 absolute error = 0.0084510578265187568418856466116 relative error = 0.61981560270861758144178692877875 % h = 0.001 y1[1] (analytic) = 1.9316022505701886515155990295735 y1[1] (numeric) = 1.9308166162285570224186433595191 absolute error = 0.0007856343416316290969556700544 relative error = 0.040672676861901465957678244861496 % h = 0.001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.6MB, time=65.69 NO POLE NO POLE x[1] = 0.373 y2[1] (analytic) = 1.364410782538085523430064305059 y2[1] (numeric) = 1.3729300449149291977373801810224 absolute error = 0.0085192623768436743073158759634 relative error = 0.62439131131726244681365629836505 % h = 0.001 y1[1] (analytic) = 1.9312383054674996255334717777569 y1[1] (numeric) = 1.9304441859960110510534831349159 absolute error = 0.000794119471488574479988642841 relative error = 0.041119703831492717754267086089008 % h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.6MB, time=65.90 NO POLE NO POLE x[1] = 0.374 y2[1] (analytic) = 1.3653418384829705613106714458277 y2[1] (numeric) = 1.3739296688126138666299905588455 absolute error = 0.0085878303296433053193191130178 relative error = 0.62898756103345018606406731283157 % h = 0.001 y1[1] (analytic) = 1.9308734291265827352412545110794 y1[1] (numeric) = 1.9300707561390632563184516873997 absolute error = 0.0008026729875194789228028236797 relative error = 0.041570461088304607671145612389428 % h = 0.001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.6MB, time=66.10 NO POLE NO POLE x[1] = 0.375 y2[1] (analytic) = 1.3662725290860475613729093517163 y2[1] (numeric) = 1.3749292917020214084006884671905 absolute error = 0.0086567626159738470277791154742 relative error = 0.63360438211874827999370852180333 % h = 0.001 y1[1] (analytic) = 1.9305076219123142911494767922296 y1[1] (numeric) = 1.9296963266587219155055920881505 absolute error = 0.0008112952535923756438847040791 relative error = 0.042024970240144720699476026343344 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.376 y2[1] (analytic) = 1.3672028534166259980973256316518 y2[1] (numeric) = 1.3759289135831521528385080968548 absolute error = 0.008726060166526154741182465203 relative error = 0.63824180477094670396954796404156 % h = 0.001 y1[1] (analytic) = 1.9301408841905014770426492067458 y1[1] (numeric) = 1.9293208975559953055771264576703 absolute error = 0.0008199866345061714655227490755 relative error = 0.042483252969902907932979616633531 % h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.6MB, time=66.30 NO POLE NO POLE x[1] = 0.377 y2[1] (analytic) = 1.368132810544381618432508525187 y2[1] (numeric) = 1.3769285344560064296685083275211 absolute error = 0.0087957239116248112359998023341 relative error = 0.64289985912442101129041426179794 % h = 0.001 y1[1] (analytic) = 1.929773216327881984172110062437 y1[1] (numeric) = 1.9289444688318917031655198556921 absolute error = 0.0008287474959902810065902067449 relative error = 0.042945331035699844798813557034539 % h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.6MB, time=66.51 NO POLE NO POLE x[1] = 0.378 y2[1] (analytic) = 1.3690623995393573721192624268931 y2[1] (numeric) = 1.3779281543205845685516019239297 absolute error = 0.0088657547812271964323394970366 relative error = 0.64757857525049401685167983095035 % h = 0.001 y1[1] (analytic) = 1.9294046186921236445183646995176 y1[1] (numeric) = 1.9285670404874193845735443418931 absolute error = 0.0008375782047042599448203576245 relative error = 0.043411226271036145276975203478812 % h = 0.001 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.6MB, time=66.72 NO POLE NO POLE x[1] = 0.379 y2[1] (analytic) = 1.3699916194719643416475806491373 y2[1] (numeric) = 1.3789277731768868990843847322228 absolute error = 0.0089361537049225574368040830855 relative error = 0.65227798315779608779353224584278 % h = 0.001 y1[1] (analytic) = 1.929035091651824063123284149087 y1[1] (numeric) = 1.9281886125235866257743432074112 absolute error = 0.0008464791282374373489409416758 relative error = 0.043880960584942033525643400429463 % h = 0.001 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.6MB, time=66.92 NO POLE NO POLE x[1] = 0.38 y2[1] (analytic) = 1.3709204694129826718454854663492 y2[1] (numeric) = 1.3799273910249137507989648764614 absolute error = 0.0090069216119310789534794101122 relative error = 0.65699811279262404778449734204247 % h = 0.001 y1[1] (analytic) = 1.9286646355765102494925308077246 y1[1] (numeric) = 1.9278091849414017024114953771656 absolute error = 0.000855450635108547081035430559 relative error = 0.044354555962127574335745762339672 % h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.6MB, time=67.13 NO POLE NO POLE x[1] = 0.381 y2[1] (analytic) = 1.3718489484335624990988058520127 y2[1] (numeric) = 1.3809270078646654531627919553142 absolute error = 0.0090780594311029540639861033015 relative error = 0.66173899403929870155923478229649 % h = 0.001 y1[1] (analytic) = 1.9282932508366382480685797257438 y1[1] (numeric) = 1.9274287577418728897990799829805 absolute error = 0.0008644930947653582694997427633 relative error = 0.044832034463133463843939766900816 % h = 0.001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.6MB, time=67.34 NO POLE NO POLE x[1] = 0.382 y2[1] (analytic) = 1.3727770556052248802009636886848 y2[1] (numeric) = 1.3819266236961423355784862389191 absolute error = 0.0091495680909174553775225502343 relative error = 0.66650065672052098629716249553386 % h = 0.001 y1[1] (analytic) = 1.9279209378035927677747050360532 y1[1] (numeric) = 1.9270473309260084629217411075121 absolute error = 0.0008736068775843048529639285411 relative error = 0.045313418224482381939113873716651 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.383 y2[1] (analytic) = 1.3737047899998627208318396013306 y2[1] (numeric) = 1.3829262385193447273836678659167 absolute error = 0.0092214485194820065518282645861 relative error = 0.67128313059772675639617957712934 % h = 0.001 y1[1] (analytic) = 1.927547696849686810630301979607 y1[1] (numeric) = 1.9266649044948166964347526989785 absolute error = 0.0008827923548701141955492806285 relative error = 0.045798729458830907803452855585107 % h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.6MB, time=67.54 NO POLE NO POLE x[1] = 0.384 y2[1] (analytic) = 1.3746321506897417036647899351876 y2[1] (numeric) = 1.3839258523342729578507860406563 absolute error = 0.0092937016445312541859961054687 relative error = 0.67608644537144020816364686794852 % h = 0.001 y1[1] (analytic) = 1.9271735283481612994379159120923 y1[1] (numeric) = 1.9262814784493058646640836566928 absolute error = 0.0008920498988554347738322553995 relative error = 0.046287990455122000035069190539046 % h = 0.001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.6MB, time=67.75 NO POLE NO POLE x[1] = 0.385 y2[1] (analytic) = 1.3755591367475012161008867712188 y2[1] (numeric) = 1.384925465140927356186948230574 absolute error = 0.0093663283934261400860614593552 relative error = 0.68091063068162595091484947495268 % h = 0.001 y1[1] (analytic) = 1.9267984326731847045423506047928 y1[1] (numeric) = 1.9258970527904842416064630873985 absolute error = 0.0009013798827004629358875173943 relative error = 0.046781223578738042805179802268897 % h = 0.001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.6MB, time=67.96 NO POLE NO POLE x[1] = 0.386 y2[1] (analytic) = 1.3764857472461552776294532449923 y2[1] (numeric) = 1.3859250769393082515337493637433 absolute error = 0.009439329693152973904296118751 relative error = 0.68575571610803973093740492790433 % h = 0.001 y1[1] (analytic) = 1.9264224101998526696622290804899 y1[1] (numeric) = 1.9255116275193601009294457324079 absolute error = 0.000910782680492568732783348082 relative error = 0.047278451271654459508804746051931 % h = 0.001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.6MB, time=68.16 NO POLE NO POLE x[1] = 0.387 y2[1] (analytic) = 1.3774119812590934668139668085286 y2[1] (numeric) = 1.3869246877294159729671010265976 absolute error = 0.009512706470322506153134218069 relative error = 0.69062173117057781474849346270692 % h = 0.001 y1[1] (analytic) = 1.9260454613041876367943811528091 y1[1] (numeric) = 1.9251252026369417159714775655423 absolute error = 0.0009202586672459208229035872668 relative error = 0.047779696052593895373981708912025 % h = 0.001 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.6MB, time=68.37 NO POLE NO POLE x[1] = 0.388 y2[1] (analytic) = 1.3783378378600818479024034492912 y2[1] (numeric) = 1.3879242975112508494970606618256 absolute error = 0.0095864596511690015946572125344 relative error = 0.69550870532962503804037206605631 % h = 0.001 y1[1] (analytic) = 1.9256675863631384701914327645926 y1[1] (numeric) = 1.924737778144237359741961561875 absolute error = 0.0009298082189011104494712027176 relative error = 0.048284980517180970500527518413876 % h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.6MB, time=68.57 NO POLE NO POLE x[1] = 0.389 y2[1] (analytic) = 1.3792633161232638970610962560513 y2[1] (numeric) = 1.3889239062848132100676607664381 absolute error = 0.0096605901615493130065645103868 relative error = 0.70041666798640152667839039909982 % h = 0.001 y1[1] (analytic) = 1.9252887857545800794129731476774 y1[1] (numeric) = 1.924349354042255304921323637276 absolute error = 0.0009394317123247744916495104014 relative error = 0.048794327338097604805435327379517 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.39 y2[1] (analytic) = 1.3801884151231614282311820978472 y2[1] (numeric) = 1.3899235140501033835567380900081 absolute error = 0.0097350989269419553255559921609 relative error = 0.70534564848330809608465353629887 % h = 0.001 y1[1] (analytic) = 1.9249090598573130414506767528811 y1[1] (numeric) = 1.9239599303320038238610787587583 absolute error = 0.0009491295253092175895979941228 relative error = 0.049307759265238916358073854577882 % h = 0.001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.6MB, time=68.78 NO POLE NO POLE x[1] = 0.391 y2[1] (analytic) = 1.381113133934675518606710559668 y2[1] (numeric) = 1.3909231208071216987757628330825 absolute error = 0.0098099868724461801690522734145 relative error = 0.7102956761042703353095726131246 % h = 0.001 y1[1] (analytic) = 1.9245284090510632219277578250411 y1[1] (numeric) = 1.9235695070144911885838972256264 absolute error = 0.0009589020365720333438605994147 relative error = 0.049825299125869694594453107544998 % h = 0.001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.6MB, time=68.98 NO POLE NO POLE x[1] = 0.392 y2[1] (analytic) = 1.3820374716330874337334896568294 y2[1] (numeric) = 1.391922726555868484469667845766 absolute error = 0.0098852549227810507361781889366 relative error = 0.71526678007508138206280898238035 % h = 0.001 y1[1] (analytic) = 1.9241468337164813953731364236214 y1[1] (numeric) = 1.9231780840907256707836711214261 absolute error = 0.0009687496257557245894653021953 relative error = 0.050346969824781449905939487348197 % h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.6MB, time=69.19 NO POLE NO POLE x[1] = 0.393 y2[1] (analytic) = 1.3829614272940595522277432292739 y2[1] (numeric) = 1.3929223312963440693166778264779 absolute error = 0.009960904002284517088934597204 relative error = 0.72025898956374339494454934934555 % h = 0.001 y1[1] (analytic) = 1.9237643342351428645706956146894 y1[1] (numeric) = 1.9227856615617155418255809366953 absolute error = 0.0009786726734273227451146779941 relative error = 0.050872794344450041103942170081072 % h = 0.001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.6MB, time=69.40 NO POLE NO POLE x[1] = 0.394 y2[1] (analytic) = 1.3838849999936362901136552972144 y2[1] (numeric) = 1.3939219350285487819281385208806 absolute error = 0.0100369350349124918144832236662 relative error = 0.72527233368080772908764761300816 % h = 0.001 y1[1] (analytic) = 1.9233809109895470789840104849733 y1[1] (numeric) = 1.9223922394284690727461623625165 absolute error = 0.0009886715610780062378481224568 relative error = 0.051402795745193882268252270928364 % h = 0.001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.6MB, time=69.60 NO POLE NO POLE x[1] = 0.395 y2[1] (analytic) = 1.384808188808245024778877040654 y2[1] (numeric) = 1.3949215377524829508483459209808 absolute error = 0.0101133489442379260694688803268 relative error = 0.73030684147971382139093281280892 % h = 0.001 y1[1] (analytic) = 1.9229965643631172522569305532408 y1[1] (numeric) = 1.9219978176919945342533732548698 absolute error = 0.000998746671122718003557298371 relative error = 0.051936997165332730492896619092663 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1293.2MB, alloc=4.6MB, time=69.81 x[1] = 0.396 y2[1] (analytic) = 1.3857309928146970185470724473521 y2[1] (numeric) = 1.3959211394681469045543754644026 absolute error = 0.0101901466534498860073030170505 relative error = 0.73536254195712679149391070171898 % h = 0.001 y1[1] (analytic) = 1.9226112947401999787903980783825 y1[1] (numeric) = 1.9216023963533001967266607697871 absolute error = 0.0010088983868997820637373085954 relative error = 0.052475421821347056049569100342464 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.397 y2[1] (analytic) = 1.3866534110901883418665790567684 y2[1] (numeric) = 1.3969207401755409714559112338331 absolute error = 0.0102673290853526295893321770647 relative error = 0.74043946405327376461317807818621 % h = 0.001 y1[1] (analytic) = 1.9222251025060648493958856873514 y1[1] (numeric) = 1.9212059754133943302170286693068 absolute error = 0.0010191270926705191788570180446 relative error = 0.05301809300803799649492455529539 % h = 0.001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.6MB, time=70.02 NO POLE NO POLE x[1] = 0.398 y2[1] (analytic) = 1.3875754427123007961142606114002 y2[1] (numeric) = 1.3979203398746654798950751566403 absolute error = 0.0103448971623646837808145452401 relative error = 0.74553763665227892233112315793909 % h = 0.001 y1[1] (analytic) = 1.9218379880469040660258376694886 y1[1] (numeric) = 1.9208085548732852044471047982288 absolute error = 0.0010294331736188615787328712598 relative error = 0.053565034098687896254263251004851 % h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.6MB, time=70.23 NO POLE NO POLE x[1] = 0.399 y2[1] (analytic) = 1.3884970867590028360136288117384 y2[1] (numeric) = 1.3989199385655207581462562046632 absolute error = 0.0104228518065179221326273929248 relative error = 0.75065708858249728739790100448385 % h = 0.001 y1[1] (analytic) = 1.9214499517498320555815002067615 y1[1] (numeric) = 1.92041013473398108881120873167 absolute error = 0.0010398170158509667702914750915 relative error = 0.054116268545221433220398068073383 % h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.6MB, time=70.44 NO POLE NO POLE x[1] = 0.4 y2[1] (analytic) = 1.3894183423086504916663117567957 y2[1] (numeric) = 1.3999195362481071344159395941742 absolute error = 0.0105011939394566427496278373785 relative error = 0.75579784861684724857824942360666 % h = 0.001 y1[1] (analytic) = 1.9210609940028850827985267320518 y1[1] (numeric) = 1.9200107149964902523754195934198 absolute error = 0.001050279006394830423107138632 relative error = 0.054671819878367333912781862329949 % h = 0.001 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.6MB, time=70.65 NO POLE NO POLE x[1] = 0.401 y2[1] (analytic) = 1.3903392084399882901959470388174 y2[1] (numeric) = 1.4009191329224249368425359860139 absolute error = 0.0105799244824366466465889471965 relative error = 0.76095994547314183154544682615808 % h = 0.001 y1[1] (analytic) = 1.9206711151950208622107455298569 y1[1] (numeric) = 1.9196102956618209638776440450958 absolute error = 0.0010608195331998983331014847611 relative error = 0.055231711707820678748279066429505 % h = 0.001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.6MB, time=70.85 NO POLE NO POLE x[1] = 0.402 y2[1] (analytic) = 1.3912596842321501770035778483565 y2[1] (numeric) = 1.4019187285884744934962106858979 absolute error = 0.0106590443563243164926328375414 relative error = 0.76614340781441872179560844644625 % h = 0.001 y1[1] (analytic) = 1.9202803157161181691924776156028 y1[1] (numeric) = 1.919208876730981491727684446099 absolute error = 0.0010714389851366774647931695038 relative error = 0.055795967722405798981293590207466 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1316.0MB, alloc=4.6MB, time=71.06 x[1] = 0.403 y2[1] (analytic) = 1.3921797687646604366336308343958 y2[1] (numeric) = 1.4029183232462561323787128448961 absolute error = 0.0107385544815956957450820105003 relative error = 0.7713482642492690455265700461683 % h = 0.001 y1[1] (analytic) = 1.9198885959569764500797938512206 y1[1] (numeric) = 1.9188064582049801040073071843685 absolute error = 0.0010821377519963460724866668521 relative error = 0.056364611690239766877314557939547 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.404 y2[1] (analytic) = 1.3930994611174346132495548536135 y2[1] (numeric) = 1.4039179168957701814232046600843 absolute error = 0.0108184557783355681736498064708 relative error = 0.7765745433321649143968179192515 % h = 0.001 y1[1] (analytic) = 1.9194959563093154313711011756945 y1[1] (numeric) = 1.9184030400848250684703111779361 absolute error = 0.0010929162244903629007899977584 relative error = 0.056937667458896480690312483677665 % h = 0.001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=71.26 NO POLE NO POLE x[1] = 0.405 y2[1] (analytic) = 1.3940187603707804307182001332327 y2[1] (numeric) = 1.404917509537016968494090575368 absolute error = 0.0108987491662365377758904421353 relative error = 0.78182227356378574005128972824448 % h = 0.001 y1[1] (analytic) = 1.9191023971657747280074487499645 y1[1] (numeric) = 1.9179986223715246525425965472798 absolute error = 0.0011037747942500754648522026847 relative error = 0.057515158955571346020811232648665 % h = 0.001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.6MB, time=71.47 NO POLE NO POLE x[1] = 0.406 y2[1] (analytic) = 1.3949376656053987123020177631507 y2[1] (numeric) = 1.4059171011699968213868464824785 absolute error = 0.0109794355645981090848287193278 relative error = 0.78709148339134332427239154310661 % h = 0.001 y1[1] (analytic) = 1.9187079189199134507329457358444 y1[1] (numeric) = 1.9175932050660871233222334584765 absolute error = 0.0011147138538263274107122773679 relative error = 0.058097110187246555137875645685367 % h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=71.68 NO POLE NO POLE x[1] = 0.407 y2[1] (analytic) = 1.3958561759023842999581598252254 y2[1] (numeric) = 1.4069166917947100678278489221411 absolute error = 0.0110605158923257678696890969157 relative error = 0.79238220120890573058625151684829 % h = 0.001 y1[1] (analytic) = 1.9183125219662098125356833485036 y1[1] (numeric) = 1.9171867881695207475795311371536 absolute error = 0.00112573379668906495615221135 relative error = 0.058683545240856965854691115413912 % h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=71.88 NO POLE NO POLE x[1] = 0.408 y2[1] (analytic) = 1.3967742903432269732435608606962 y2[1] (numeric) = 1.4079162814111570354742042854162 absolute error = 0.01114199106793006223064342472 relative error = 0.79769445535771994312605902534159 % h = 0.001 y1[1] (analytic) = 1.9179162067000607341695547415594 y1[1] (numeric) = 1.9167793716828337917571070532394 absolute error = 0.00113683501722694241244768832 relative error = 0.059274488283456581553869797645529 % h = 0.001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.6MB, time=72.09 NO POLE NO POLE x[1] = 0.409 y2[1] (analytic) = 1.3976920080098123678250817707338 y2[1] (numeric) = 1.4089158700193380519135780152117 absolute error = 0.0112238620095256840884962444779 relative error = 0.80302827412653331852631893139169 % h = 0.001 y1[1] (analytic) = 1.9175189735177814487573672029263 y1[1] (numeric) = 1.9163709556070345219699562765118 absolute error = 0.0011480179107469267874109264145 relative error = 0.059869963562385633965098619505868 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1338.9MB, alloc=4.6MB, time=72.30 x[1] = 0.41 y2[1] (analytic) = 1.3986093279844228935937976400511 y2[1] (numeric) = 1.4099154576192534446640238079686 absolute error = 0.0113061296348305510702261679175 relative error = 0.80838368575191383659398302267158 % h = 0.001 y1[1] (analytic) = 1.917120822816605105475642058277 y1[1] (numeric) = 1.9159615399431312040055210029459 absolute error = 0.0011592828734739014701210553311 relative error = 0.060469995405438270304246908721196 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.411 y2[1] (analytic) = 1.3995262493497386523825113693651 y2[1] (numeric) = 1.4109150442109035411738128155184 absolute error = 0.0113887948611648887913014461533 relative error = 0.81376071841856915547470374054248 % h = 0.001 y1[1] (analytic) = 1.9167217549946823723214985972821 y1[1] (numeric) = 1.9155511246921321033237602518594 absolute error = 0.0011706303025502689977383454227 relative error = 0.061074608221030846389576417791016 % h = 0.001 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.6MB, time=72.51 NO POLE NO POLE x[1] = 0.412 y2[1] (analytic) = 1.4004427711888383552855753992714 y2[1] (numeric) = 1.4119146297942886688212628471128 absolute error = 0.0114718586054503135356874478414 relative error = 0.81915940025966447700488819093229 % h = 0.001 y1[1] (analytic) = 1.9163217704510810379620192557123 y1[1] (numeric) = 1.9151397098550454850572197338563 absolute error = 0.001182060596035552904799521856 relative error = 0.061683826498370827357243854265506 % h = 0.001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=72.71 NO POLE NO POLE x[1] = 0.413 y2[1] (analytic) = 1.4013588925852002395801042057874 y2[1] (numeric) = 1.4129142143694091549145675716258 absolute error = 0.0115553217842089153344633658384 relative error = 0.82457975935713922791281224117634 % h = 0.001 y1[1] (analytic) = 1.915920869585785612666494204004 y1[1] (numeric) = 1.9147272954328796140111018895683 absolute error = 0.0011935741529059986553923144357 relative error = 0.062297674807626297604855856590201 % h = 0.001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.6MB, time=72.93 NO POLE NO POLE x[1] = 0.414 y2[1] (analytic) = 1.4022746126227029852476606464264 y2[1] (numeric) = 1.4139137979362653266916257199281 absolute error = 0.0116391853135623414439650735017 relative error = 0.83002182374202256250478439749785 % h = 0.001 y1[1] (analytic) = 1.9155190527996969283219444100102 y1[1] (numeric) = 1.9143138814266427546633360991941 absolute error = 0.0012051713730541736586083108161 relative error = 0.062916177800096081598428776843589 % h = 0.001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.6MB, time=73.14 NO POLE NO POLE x[1] = 0.415 y2[1] (analytic) = 1.4031899303856266310954996351939 y2[1] (numeric) = 1.4149133804948575113198702874337 absolute error = 0.0117234501092308802243706522398 relative error = 0.83548562139474769244522626968566 % h = 0.001 y1[1] (analytic) = 1.9151163204946317375323231603814 y1[1] (numeric) = 1.913899467837343171164649062836 absolute error = 0.0012168526572885663676740975454 relative error = 0.063539360208380477184720750600932 % h = 0.001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=73.35 NO POLE NO POLE x[1] = 0.416 y2[1] (analytic) = 1.4041048449586534904764530253388 y2[1] (numeric) = 1.4159129620451860358960977368188 absolute error = 0.01180811708653254541964471148 relative error = 0.84097118024546504921255991254786 % h = 0.001 y1[1] (analytic) = 1.9147126730733223118017969413405 y1[1] (numeric) = 1.9134840546659891273386353516342 absolute error = 0.0012286184073331844631615897063 relative error = 0.064167246846552603057541453445505 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1361.8MB, alloc=4.6MB, time=73.55 x[1] = 0.417 y2[1] (analytic) = 1.4050193554268690666065399800501 y2[1] (numeric) = 1.416912542587251227446297200913 absolute error = 0.0118931871603821608397572208629 relative error = 0.84647852817435428478596134214721 % h = 0.001 y1[1] (analytic) = 1.9143081109394160388025074955377 y1[1] (numeric) = 1.913067641913588886681828129698 absolute error = 0.0012404690258271521206793658397 relative error = 0.064799862610330362033305768078767 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.418 y2[1] (analytic) = 1.4059334608757629674793875135654 y2[1] (numeric) = 1.4179121221210534129254796857627 absolute error = 0.0119786612452904454460921721973 relative error = 0.85200769301193511609135321849354 % h = 0.001 y1[1] (analytic) = 1.9139026344974750187272177871901 y1[1] (numeric) = 1.9126502295811507123637700468342 absolute error = 0.0012524049163243063634477403559 relative error = 0.065437232477249021797781419678383 % h = 0.001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.6MB, time=73.76 NO POLE NO POLE x[1] = 0.419 y2[1] (analytic) = 1.4068471603912298203765462883469 y2[1] (numeric) = 1.4189117006465929192175072738669 absolute error = 0.01206454025536309884096098552 relative error = 0.85755870253937701870846723078132 % h = 0.001 y1[1] (analytic) = 1.9134962441529756597272455228257 y1[1] (numeric) = 1.912231817669682867227084302072 absolute error = 0.0012644264832927925001612207537 relative error = 0.066079381506834414792687585443346 % h = 0.001 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.6MB, time=73.96 NO POLE NO POLE x[1] = 0.42 y2[1] (analytic) = 1.4077604530595701859727871580863 y2[1] (numeric) = 1.4199112781638700731349223275852 absolute error = 0.0121508251042998871621351694989 relative error = 0.86313158448880777531440728656105 % h = 0.001 y1[1] (analytic) = 1.9130889403123082724360887896657 y1[1] (numeric) = 1.9118124061801936137875458779853 absolute error = 0.0012765341321146586485429116804 relative error = 0.066726334840776758917531652618912 % h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=74.17 NO POLE NO POLE x[1] = 0.421 y2[1] (analytic) = 1.4086733379674914720354643513158 y2[1] (numeric) = 1.4209108546728852014187766927182 absolute error = 0.0122375167053937293833123414024 relative error = 0.86872636654362088431288736858216 % h = 0.001 y1[1] (analytic) = 1.912680723382776663579149287984 y1[1] (numeric) = 1.9113919951136912142341529458108 absolute error = 0.0012887282690854493449963421732 relative error = 0.067378117703105100728824793635611 % h = 0.001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.6MB, time=74.38 NO POLE NO POLE x[1] = 0.422 y2[1] (analytic) = 1.4095858142021088467170315963406 y2[1] (numeric) = 1.4219104301736386307384609022599 absolute error = 0.0123246159715297840214293059193 relative error = 0.87434307633878183407220206220333 % h = 0.001 y1[1] (analytic) = 1.9122715937725977286699595476886 y1[1] (numeric) = 1.9109705844711839304291984413627 absolute error = 0.0013010093014137982407611063259 relative error = 0.068034755400362382825593953843328 % h = 0.001 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.6MB, time=74.58 NO POLE NO POLE x[1] = 0.423 y2[1] (analytic) = 1.410497880850946151439797895052 y2[1] (numeric) = 1.4229100046661306876915333803227 absolute error = 0.0124121238151845362517354852707 relative error = 0.87998174146113324816901245953213 % h = 0.001 y1[1] (analytic) = 1.9118615518909010437933214328626 y1[1] (numeric) = 1.9105481742536800239083418117435 absolute error = 0.0013133776372210198849796211191 relative error = 0.068696273321781137116908313331557 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1384.7MB, alloc=4.6MB, time=74.79 x[1] = 0.424 y2[1] (analytic) = 1.4114095370019368133720100609405 y2[1] (numeric) = 1.4239095781503616988035496462346 absolute error = 0.0125000411484248854315395852941 relative error = 0.88564238944969890700919460377016 % h = 0.001 y1[1] (analytic) = 1.911450598147728456475764151092 y1[1] (numeric) = 1.9101247644621877558806809328511 absolute error = 0.0013258336855407005950832182409 relative error = 0.069362696939459805673962397063673 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.425 y2[1] (analytic) = 1.4123207817434247574943495453043 y2[1] (numeric) = 1.4249091506263319905278915188085 absolute error = 0.0125883688829072330335419735042 relative error = 0.89132504779598665117130104495818 % h = 0.001 y1[1] (analytic) = 1.9110387329540336756437308970901 y1[1] (numeric) = 1.9097003550977153872288241976813 absolute error = 0.0013383778563182884149066994088 relative error = 0.070034051808539690876105874871687 % h = 0.001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.6MB, time=75.00 NO POLE NO POLE x[1] = 0.426 y2[1] (analytic) = 1.4132316141641653182559314852307 y2[1] (numeric) = 1.4259087220940418892455963207839 absolute error = 0.0126771079298765709896648355532 relative error = 0.89702974394429017179262763811878 % h = 0.001 y1[1] (analytic) = 1.9106259567216818606699041723951 y1[1] (numeric) = 1.9092749461612711785089627754261 absolute error = 0.001351010560410682160941396969 relative error = 0.070710363567382536567081822368683 % h = 0.001 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.6MB, time=75.20 NO POLE NO POLE x[1] = 0.427 y2[1] (analytic) = 1.4141420333533261508188943174277 y2[1] (numeric) = 1.426908292553491721265186083441 absolute error = 0.0127662592001655704462917660133 relative error = 0.90275650529198969329245663186846 % h = 0.001 y1[1] (analytic) = 1.910212269863449209508080734783 y1[1] (numeric) = 1.9088485376538633899509430413674 absolute error = 0.0013637322095858195571376934156 relative error = 0.071391657937748741944630915290585 % h = 0.001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.6MB, time=75.41 NO POLE NO POLE x[1] = 0.428 y2[1] (analytic) = 1.415052038400488141890668713393 y2[1] (numeric) = 1.4279078620046818128224967513869 absolute error = 0.0128558236041936709318280379939 relative error = 0.90850535918985155370176258154101 % h = 0.001 y1[1] (analytic) = 1.9097976727930225459170080424865 y1[1] (numeric) = 1.9084211295765002814583391775663 absolute error = 0.0013765432165222644586688649202 relative error = 0.072077960724976209913538811402992 % h = 0.001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.6MB, time=75.62 NO POLE NO POLE x[1] = 0.429 y2[1] (analytic) = 1.4159616283956463201430150037265 y2[1] (numeric) = 1.4289074304476124900805073875141 absolute error = 0.0129458020519661699374923837876 relative error = 0.91427633294232668784351889182277 % h = 0.001 y1[1] (analytic) = 1.9093821659249989057735949693482 y1[1] (numeric) = 1.9079927219301901126085259443471 absolute error = 0.0013894439948087931650690250011 relative error = 0.072769297818159831639147946065409 % h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.6MB, time=75.83 NO POLE NO POLE x[1] = 0.43 y2[1] (analytic) = 1.4168708024292107662169186726246 y2[1] (numeric) = 1.4299069978822840791291693781315 absolute error = 0.0130361954530733129122507055069 relative error = 0.92006945380784801858272907029676 % h = 0.001 y1[1] (analytic) = 1.9089657496748851224759104776634 y1[1] (numeric) = 1.9075633147159411426527516225766 absolute error = 0.0014024349589439798231588550868 relative error = 0.07346569519033160904532323979328 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1407.6MB, alloc=4.6MB, time=76.05 x[1] = 0.431 y2[1] (analytic) = 1.4177795595920075223124339177373 y2[1] (numeric) = 1.4309065643086969059852356382672 absolute error = 0.0131270047166893836728017205299 relative error = 0.92588474899912676134042728101002 % h = 0.001 y1[1] (analytic) = 1.90854842445909741143638484568 y1[1] (numeric) = 1.907132907934761630516211126738 absolute error = 0.001415516524335780920173718942 relative error = 0.074167178898641417007853899396853 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.432 y2[1] (analytic) = 1.4186878989752795013625656856203 y2[1] (numeric) = 1.4319061297268512965920898171442 absolute error = 0.0132182307515717952295241315239 relative error = 0.93172224568344764704114675714967 % h = 0.001 y1[1] (analytic) = 1.9081301906949609536656289565175 y1[1] (numeric) = 1.9067015015876598347981192887995 absolute error = 0.001428689107301118867509667718 relative error = 0.074873775084538407001290699208126 % h = 0.001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.6MB, time=76.25 NO POLE NO POLE x[1] = 0.433 y2[1] (analytic) = 1.4195958196706873957902810089753 y2[1] (numeric) = 1.4329056941367475768195755038279 absolute error = 0.0133098744660601810292944948526 relative error = 0.93758197098296306863874129890489 % h = 0.001 y1[1] (analytic) = 1.9077110488007094784472880646543 y1[1] (numeric) = 1.9062690956756440137717843128772 absolute error = 0.0014419531250654646755037517771 relative error = 0.075585509973953053964259967844781 % h = 0.001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=76.46 NO POLE NO POLE x[1] = 0.434 y2[1] (analytic) = 1.4205033207703105858477408887429 y2[1] (numeric) = 1.433905257538386072463825433046 absolute error = 0.0134019367680754866160845443031 relative error = 0.94346395197498615634096368722878 % h = 0.001 y1[1] (analytic) = 1.9072909991954848451043473650912 y1[1] (numeric) = 1.9058356901997224253846814006923 absolute error = 0.0014553089957624197196659643989 relative error = 0.076302409877479848155362089747849 % h = 0.001 TOP MAIN SOLVE Loop memory used=1419.0MB, alloc=4.6MB, time=76.67 NO POLE NO POLE x[1] = 0.435 y2[1] (analytic) = 1.4214104013666480475368443818927 y2[1] (numeric) = 1.4349048199317671092470906911809 absolute error = 0.0134944185651190617102463092882 relative error = 0.94936821569228278662885463097784 % h = 0.001 y1[1] (analytic) = 1.9068700422993366238573075988539 y1[1] (numeric) = 1.9054012851609033272585265478228 absolute error = 0.0014687571384332965987810510311 relative error = 0.077024501190560633778853773271089 % h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=76.87 NO POLE NO POLE x[1] = 0.436 y2[1] (analytic) = 1.4223170605526192601101769744414 y2[1] (numeric) = 1.4359043813168910128175699224341 absolute error = 0.0135873207642717527073929479927 relative error = 0.95529478912336253014277608368525 % h = 0.001 y1[1] (analytic) = 1.9064481785332216757746498366219 y1[1] (numeric) = 1.9049658805601949766893505107483 absolute error = 0.0014822979730266990852993258736 relative error = 0.077751810393668596166429750129156 % h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=77.08 NO POLE NO POLE x[1] = 0.437 y2[1] (analytic) = 1.4232232974215651131514557388264 y2[1] (numeric) = 1.4369039416937581087492385351629 absolute error = 0.0136806442721929955977827963365 relative error = 0.96124369921276854348283267099816 % h = 0.001 y1[1] (analytic) = 1.9060254083190037318160094899842 y1[1] (numeric) = 1.9045294763986056306475729446895 absolute error = 0.0014959319203981011684365452947 relative error = 0.078484364052492899308561068697649 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1430.5MB, alloc=4.6MB, time=77.29 x[1] = 0.438 y2[1] (analytic) = 1.4241291110672488132345641952656 y2[1] (numeric) = 1.4379035010623687225416779083896 absolute error = 0.013774389995119909307113713124 relative error = 0.96721497286136640994746381953209 % h = 0.001 y1[1] (analytic) = 1.9056017320794529709684805071144 y1[1] (numeric) = 1.9040920726771435457780767122404 absolute error = 0.001509659402309425190403794874 relative error = 0.079222188818123975536013840122899 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.439 y2[1] (analytic) = 1.425034500583856790160270218143 y2[1] (numeric) = 1.4389030594227231796199045984827 absolute error = 0.0138685588388663894596343803397 relative error = 0.97320863692663193421015623608529 % h = 0.001 y1[1] (analytic) = 1.9051771502382455974764716165229 y1[1] (numeric) = 1.9036536693968169784002823627946 absolute error = 0.0015234808414286190761892537283 relative error = 0.079965311427239469159364304908166 % h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=77.50 NO POLE NO POLE x[1] = 0.44 y2[1] (analytic) = 1.4259394650659996027697207507799 y2[1] (numeric) = 1.4399026167748218053341995460107 absolute error = 0.0139631517088222025644787952308 relative error = 0.9792247182229378959105209205963 % h = 0.001 y1[1] (analytic) = 1.9047516632199634171655373889984 y1[1] (numeric) = 1.9032142665586341845082227827644 absolute error = 0.001537396661329232657314606234 relative error = 0.080713758702290835881543525151859 % h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=77.71 NO POLE NO POLE x[1] = 0.441 y2[1] (analytic) = 1.4268440036087128443338075151701 y2[1] (numeric) = 1.4409021731186649249599372827678 absolute error = 0.0140581695099520806261297675977 relative error = 0.98526324352183976711240018009891 % h = 0.001 y1[1] (analytic) = 1.9043252714500934128606077938682 y1[1] (numeric) = 1.902773864163603419770618016593 absolute error = 0.0015514072864899930899897772752 relative error = 0.08146755755169059980568798748496 % h = 0.001 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.6MB, time=77.91 NO POLE NO POLE x[1] = 0.442 y2[1] (analytic) = 1.4277481153074580475174983273898 y2[1] (numeric) = 1.4419017284542528636974151389723 absolute error = 0.0141536131467948161799168115825 relative error = 0.99132423955236039855821742058461 % h = 0.001 y1[1] (analytic) = 1.9038979753550273188990408313166 y1[1] (numeric) = 1.9023324622127329395309502585601 absolute error = 0.0015655131422943793680905727565 relative error = 0.082226734970000269867841041858173 % h = 0.001 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.6MB, time=78.12 NO POLE NO POLE x[1] = 0.443 y2[1] (analytic) = 1.4286517992581235889182290544272 y2[1] (numeric) = 1.4429012827815859466716824506368 absolute error = 0.0142494835234623577534533962096 relative error = 0.99740773300127367962545511109035 % h = 0.001 y1[1] (analytic) = 1.9034697753620611947389237276696 y1[1] (numeric) = 1.9018900607070309988075390153792 absolute error = 0.0015797146550301959313847122904 relative error = 0.082991318038118917531344516440075 % h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=78.33 NO POLE NO POLE x[1] = 0.444 y2[1] (analytic) = 1.4295550545570255931774516741134 y2[1] (numeric) = 1.4439008361006644989323697671111 absolute error = 0.0143457815436389057549180929977 relative error = 1.0035137505133871768679435259526 % h = 0.001 y1[1] (analytic) = 1.9030406718993949976630490853117 y1[1] (numeric) = 1.9014466596475058522936164395886 absolute error = 0.0015940122518891453694326457231 relative error = 0.08376133392347241758708015716509 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1453.4MB, alloc=4.6MB, time=78.53 x[1] = 0.445 y2[1] (analytic) = 1.4304578803009088366644343266839 y2[1] (numeric) = 1.4449003884114888454535180587973 absolute error = 0.0144425081105800087890837321134 relative error = 1.0096423186918237560015639663524 % h = 0.001 y1[1] (analytic) = 1.9026106653961321545789932832218 y1[1] (numeric) = 1.9010022590351657543574028337339 absolute error = 0.0016084063609664002215904494879 relative error = 0.084536809880203353911066858831861 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.446 y2[1] (analytic) = 1.4313602755869476507314096742436 y2[1] (numeric) = 1.4458999397140593111334079250368 absolute error = 0.0145396641271116604019982507932 relative error = 1.0157934640983021921710144372705 % h = 0.001 y1[1] (analytic) = 1.9021797562822791329157253280146 y1[1] (numeric) = 1.9005568588710189590421823253432 absolute error = 0.0016228974112601738735430026714 relative error = 0.085317773249361592038292101081033 % h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=78.74 NO POLE NO POLE x[1] = 0.447 y2[1] (analytic) = 1.4322622395127468245391683130648 y2[1] (numeric) = 1.4468994900083762207943888021702 absolute error = 0.0146372504956293962552204891054 relative error = 1.0219672132534167733114525087321 % h = 0.001 y1[1] (analytic) = 1.9017479449887450106171752588427 y1[1] (numeric) = 1.9001104591560737200663787126939 absolute error = 0.0016374858326712905507965461488 relative error = 0.086104251459095520419054695857519 % h = 0.001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.6MB, time=78.94 NO POLE NO POLE x[1] = 0.448 y2[1] (analytic) = 1.4331637711763425074521944131981 y2[1] (numeric) = 1.4478990392944398991827081717689 absolute error = 0.0147352681180973917305137585708 relative error = 1.028163592636915901396118625326 % h = 0.001 y1[1] (analytic) = 1.9013152319473410452331921125551 y1[1] (numeric) = 1.8996630598913382908236314813718 absolute error = 0.0016521720560027544095606311833 relative error = 0.086896272024843962231521011752214 % h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=79.15 NO POLE NO POLE x[1] = 0.449 y2[1] (analytic) = 1.4340648696762031110024411903364 y2[1] (numeric) = 1.4488985875722506709683407690394 absolute error = 0.014833717896047559965899578703 relative error = 1.0343826286879796963384527526933 % h = 0.001 y1[1] (analytic) = 1.9008816175907802421083223581184 y1[1] (numeric) = 1.8992146610778209243828719916218 absolute error = 0.0016669565129593177254503664966 relative error = 0.087693862549528759631648384800482 % h = 0.001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=79.36 NO POLE NO POLE x[1] = 0.45 y2[1] (analytic) = 1.4349655341112302104208442462319 y2[1] (numeric) = 1.4498981348418088607448177913995 absolute error = 0.0149326007305786503239735451676 relative error = 1.0406243478054966072947472762879 % h = 0.001 y1[1] (analytic) = 1.9004471023526769216688406114864 y1[1] (numeric) = 1.8987652627165298734883998364896 absolute error = 0.0016818396361470481804407749968 relative error = 0.088497050723748032329107574675103 % h = 0.001 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=79.56 NO POLE NO POLE x[1] = 0.451 y2[1] (analytic) = 1.4358657635807594457356712462275 y2[1] (numeric) = 1.4508976811031147930290561072273 absolute error = 0.0150319175223553472933848609998 relative error = 1.0468887763483390360910288129422 % h = 0.001 y1[1] (analytic) = 1.9000116866675462858084653438511 y1[1] (numeric) = 1.8983148648084733905599593707555 absolute error = 0.0016968218590728952485059730956 relative error = 0.089305864325970112385341000321573 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1476.3MB, alloc=4.6MB, time=79.77 x[1] = 0.452 y2[1] (analytic) = 1.4367655571845614224368068356284 y2[1] (numeric) = 1.4518972263561687922611874647818 absolute error = 0.0151316691716073698243806291534 relative error = 1.0531759406356379774756303796548 % h = 0.001 y1[1] (analytic) = 1.8995753709708039833731931975225 y1[1] (numeric) = 1.8978634673546597276928164106587 absolute error = 0.0017119036161442556803767868638 relative error = 0.090120331222728157137425211369181 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.453 y2[1] (analytic) = 1.4376649140228426117050721307038 y2[1] (numeric) = 1.4528967706009711828043877012965 absolute error = 0.0152318565781285710993155705927 relative error = 1.0594858669470566808768025121707 % h = 0.001 y1[1] (analytic) = 1.899138155698765674745686424569 y1[1] (numeric) = 1.8974110703560971366578351044132 absolute error = 0.0017270853426685380878513201558 relative error = 0.090940479368815442158964742430263 % h = 0.001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=79.97 NO POLE NO POLE x[1] = 0.454 y2[1] (analytic) = 1.4385638331962462502056785550742 y2[1] (numeric) = 1.4538963138375222889447059522446 absolute error = 0.0153324806412760387390273971704 relative error = 1.0658185815230633383227167664814 % h = 0.001 y1[1] (analytic) = 1.898700041288646595529648863792 y1[1] (numeric) = 1.896957673813793868901554973514 absolute error = 0.001742367474852726628093890278 relative error = 0.09176633680748133617683027877602 % h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=80.18 NO POLE NO POLE x[1] = 0.455 y2[1] (analytic) = 1.4394623138058532394449162281053 y2[1] (numeric) = 1.4548958560658224348908938607771 absolute error = 0.0154335422599691954459776326718 relative error = 1.0721741105652028031593369033326 % h = 0.001 y1[1] (analytic) = 1.8982610281785611193346267716233 y1[1] (numeric) = 1.8965032777287581755462681248342 absolute error = 0.0017577504498029437883586467891 relative error = 0.09259793167062795987016705693489 % h = 0.001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=80.39 NO POLE NO POLE x[1] = 0.456 y2[1] (analytic) = 1.4403603549531830446891775486958 y2[1] (numeric) = 1.4558953972858719447742347873326 absolute error = 0.0155350423326889000850572386368 relative error = 1.0785524802363673441798712855876 % h = 0.001 y1[1] (analytic) = 1.8978211168075223196616717221096 y1[1] (numeric) = 1.8960478821019983073900966335125 absolute error = 0.0017732347055240122715750885971 relative error = 0.093435292179007530485739755512234 % h = 0.001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=80.59 NO POLE NO POLE x[1] = 0.457 y2[1] (analytic) = 1.4412579557401945934454170555095 y2[1] (numeric) = 1.4568949374976711426483730194198 absolute error = 0.0156369817574765492029559639103 relative error = 1.0849537166610664397578739531524 % h = 0.001 y1[1] (analytic) = 1.8973803076154415308903036902821 y1[1] (numeric) = 1.895591486934522514907070096631 absolute error = 0.0017888206809190159832335936511 relative error = 0.094278446642420394211347923425851 % h = 0.001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.6MB, time=80.80 NO POLE NO POLE x[1] = 0.458 y2[1] (analytic) = 1.442155115269287173502149083267 y2[1] (numeric) = 1.4578944767012203524891429815721 absolute error = 0.0157393614319331789869938983051 relative error = 1.0913778459256956165545308245431 % h = 0.001 y1[1] (analytic) = 1.8969386010431279083672133319129 y1[1] (numeric) = 1.8951340922273390482472033576834 absolute error = 0.0018045088157888601200099742295 relative error = 0.095127423459913748256741369881715 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.459 y2[1] (analytic) = 1.443051832643301330530085174175 y2[1] (numeric) = 1.4588940148965198981943984454747 absolute error = 0.0158421822532185676643132712997 relative error = 1.0978248940788043373492508581993 % h = 0.001 y1[1] (analytic) = 1.8964959975322879875971433709198 y1[1] (numeric) = 1.8946756979814561572365744018326 absolute error = 0.0018202995508318303605689690872 relative error = 0.095982251119981054599188027026985 % h = 0.001 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=81.01 NO POLE NO POLE x[1] = 0.46 y2[1] (analytic) = 1.4439481069655197652415136439289 y2[1] (numeric) = 1.4598935520835701035838417402634 absolute error = 0.0159454451180503383423280963345 relative error = 1.1042948871313629425213791435895 % h = 0.001 y1[1] (analytic) = 1.8960524975255252425363899035004 y1[1] (numeric) = 1.8942163041978820913774024219587 absolute error = 0.0018361933276431511589874815417 relative error = 0.096842958200762147358597717714423 % h = 0.001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=81.22 NO POLE NO POLE x[1] = 0.461 y2[1] (analytic) = 1.4448439373396682301075241429856 y2[1] (numeric) = 1.4608930882623712923988529629964 absolute error = 0.0160491509227030622913288200108 relative error = 1.1107878510570286496896591391911 % h = 0.001 y1[1] (analytic) = 1.895608101466339642989365325457 y1[1] (numeric) = 1.8937559108776250998481260554961 absolute error = 0.0018521905887145431412392699609 relative error = 0.097709573370244035774884143701172 % h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=81.43 NO POLE NO POLE x[1] = 0.462 y2[1] (analytic) = 1.4457393228699164256321804959556 y2[1] (numeric) = 1.461892623432923788302319189298 absolute error = 0.0161533005630073626701386933424 relative error = 1.1173038117924106159949939932322 % h = 0.001 y1[1] (analytic) = 1.8951628097991272111086654861145 y1[1] (numeric) = 1.8932945180216934315034817920604 absolute error = 0.0018682917774337796051836940541 relative error = 0.098582125386462404768054379941154 % h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=81.64 NO POLE NO POLE x[1] = 0.463 y2[1] (analytic) = 1.446634262660878896182745545017 y2[1] (numeric) = 1.4628921575952279148784636841744 absolute error = 0.0162578949343490186957181391574 relative error = 1.1238427952373340674910914387732 % h = 0.001 y1[1] (analytic) = 1.8947166229691795769990845687246 y1[1] (numeric) = 1.8928321256310953348745825518644 absolute error = 0.0018844973380842421245020168602 relative error = 0.099460643097703815069350345438181 % h = 0.001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=81.85 NO POLE NO POLE x[1] = 0.464 y2[1] (analytic) = 1.4475287558176159253750621672001 y2[1] (numeric) = 1.4638916907492839956326751130022 absolute error = 0.0163629349316680702576129458021 relative error = 1.1304048272551035000867225167434 % h = 0.001 y1[1] (analytic) = 1.8942695414226835334260220933066 y1[1] (numeric) = 1.8923687337068390581689964349233 absolute error = 0.0019008077158444752570256583833 relative error = 0.1003451554427086049196302486174 % h = 0.001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=82.06 NO POLE NO POLE x[1] = 0.465 y2[1] (analytic) = 1.4484228014456344310131950802375 y2[1] (numeric) = 1.4648912228950923539913367526891 absolute error = 0.0164684214494579229781416724516 relative error = 1.136989933672764956462580721405 % h = 0.001 y1[1] (analytic) = 1.8938215656067205896287273334791 y1[1] (numeric) = 1.8919043422499328492708256410487 absolute error = 0.0019172233567877403579016924304 relative error = 0.10123569145087449533907000278771 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.466 y2[1] (analytic) = 1.4493163986508888595824384974118 y2[1] (numeric) = 1.4658907540326533133016557030064 absolute error = 0.0165743553817644537192172055946 relative error = 1.1435981402813673833650944601217 % h = 0.001 y1[1] (analytic) = 1.8933726959692665242388273340021 y1[1] (numeric) = 1.8914389512613849557407855606314 absolute error = 0.0019337447078815684980417733707 relative error = 0.10213228024246090098018520445874 % h = 0.001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.6MB, time=82.26 NO POLE NO POLE x[1] = 0.467 y2[1] (analytic) = 1.4502095465397820802947951384674 y2[1] (numeric) = 1.4668902841619671968314920980945 absolute error = 0.0166807376221851165366969596271 relative error = 1.1502294728362230736590213535612 % h = 0.001 y1[1] (analytic) = 1.8929229329591909373045856104637 y1[1] (numeric) = 1.8909725607422036248162840362128 absolute error = 0.0019503722169873124883015742509 relative error = 0.10303495102879394858412359289304 % h = 0.001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=82.47 NO POLE NO POLE x[1] = 0.468 y2[1] (analytic) = 1.4511022442191662786860325511832 y2[1] (numeric) = 1.46788981328303432776918831814 absolute error = 0.0167875690638680490831557669568 relative error = 1.1568839570571671975002372577803 % h = 0.001 y1[1] (analytic) = 1.892472277026256801421339506815 y1[1] (numeric) = 1.8905051706933971034115007948447 absolute error = 0.0019671063328596980098387119703 relative error = 0.10394373311247220506815609351057 % h = 0.001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.6MB, time=82.68 NO POLE NO POLE x[1] = 0.469 y2[1] (analytic) = 1.4519944907963438497634231466225 y2[1] (numeric) = 1.4688893413958550292233982012256 absolute error = 0.0168948505995111794599750546031 relative error = 1.1635616186288164269698253554389 % h = 0.001 y1[1] (analytic) = 1.8920207286211200119685650802794 y1[1] (numeric) = 1.8900367811159736381174670512376 absolute error = 0.0019839475051463738510980290418 relative error = 0.10485865588757311728030172106752 % h = 0.001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=82.90 NO POLE NO POLE x[1] = 0.47 y2[1] (analytic) = 1.4528862853790682907032748003964 y2[1] (numeric) = 1.4698888685004296242229162553521 absolute error = 0.0170025831213613335196414549557 relative error = 1.1702624832008266584903706302556 % h = 0.001 y1[1] (analytic) = 1.8915682881953289364540192765334 y1[1] (numeric) = 1.8895673920109414752021452816963 absolute error = 0.0020008961843874612518739948371 relative error = 0.10577974883986016546505791186153 % h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=83.10 NO POLE NO POLE x[1] = 0.471 y2[1] (analytic) = 1.4537776270755450930973593224828 y2[1] (numeric) = 1.4708883945967584357165068706324 absolute error = 0.0171107675212133426191475481496 relative error = 1.1769865763881498373252719040178 % h = 0.001 y1[1] (analytic) = 1.8911149562013239629654100509787 y1[1] (numeric) = 1.8890970033793088606105091688444 absolute error = 0.0020179528220151023549008821343 relative error = 0.10670704154699073249227339914692 % h = 0.001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=83.31 NO POLE NO POLE x[1] = 0.472 y2[1] (analytic) = 1.4546685149944326347473465492482 y2[1] (numeric) = 1.4718879196848417865727335316582 absolute error = 0.01721940469040915182538698241 relative error = 1.1837339237712898884418967773854 % h = 0.001 y1[1] (analytic) = 1.890660733092437047730045984399 y1[1] (numeric) = 1.8886256152220840399646237171357 absolute error = 0.0020351178703530077654222672633 relative error = 0.10764056367872469090929567526183 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.473 y2[1] (analytic) = 1.4555589482448430710063522633121 y2[1] (numeric) = 1.4728874437646799995797880300389 absolute error = 0.0173284955198369285734357667268 relative error = 1.1905045508965577579995236781719 % h = 0.001 y1[1] (analytic) = 1.8902056193228912617829178333128 y1[1] (numeric) = 1.8881532275402752585637255391535 absolute error = 0.0020523917826160032191922941593 relative error = 0.10858034499713370988464952950403 % h = 0.001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=83.51 NO POLE NO POLE x[1] = 0.474 y2[1] (analytic) = 1.4564489259363432256667085997792 y2[1] (numeric) = 1.4738869668362733974453196771124 absolute error = 0.0174380408999301717786110773332 relative error = 1.1972984832763255697032391904379 % h = 0.001 y1[1] (analytic) = 1.8897496153478003367436653469044 y1[1] (numeric) = 1.8876798403348907613843033126975 absolute error = 0.0020697750129095753593620342069 relative error = 0.10952641535681128411965724703327 % h = 0.001 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.6MB, time=83.72 NO POLE NO POLE x[1] = 0.475 y2[1] (analytic) = 1.4573384471789554813930660511461 y2[1] (numeric) = 1.4748864888996223027962645168287 absolute error = 0.0175480417206668214031984656826 relative error = 1.2041157463892799002452873247445 % h = 0.001 y1[1] (analytic) = 1.8892927216231682097028835735269 y1[1] (numeric) = 1.8872054536069387930801784086573 absolute error = 0.0020872680162294166227051648696 relative error = 0.11047880470508348681259493416395 % h = 0.001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.6MB, time=83.93 NO POLE NO POLE x[1] = 0.476 y2[1] (analytic) = 1.4582275110831586696999366378509 y2[1] (numeric) = 1.4758860099547270381786745388054 absolute error = 0.0176584988715683684787379009545 relative error = 1.2109563656806741780357998091583 % h = 0.001 y1[1] (analytic) = 1.8888349386058885672182237704341 y1[1] (numeric) = 1.8867300673574275979825856896734 absolute error = 0.0021048712484609692356380807607 relative error = 0.11143754308222044876819323445214 % h = 0.001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=84.14 NO POLE NO POLE x[1] = 0.477 y2[1] (analytic) = 1.4591161167598889604727882670001 y2[1] (numeric) = 1.4768855300015879260575468915556 absolute error = 0.0177694132416989655847586245555 relative error = 1.217820366562580209405372248444 % h = 0.001 y1[1] (analytic) = 1.8883762667537443884207449206015 y1[1] (numeric) = 1.8862536815873654201002544795852 absolute error = 0.0021225851663789683204904410163 relative error = 0.11240266062164856575353455293129 % h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=84.34 NO POLE NO POLE x[1] = 0.478 y2[1] (analytic) = 1.4600042633205407510318007582506 y2[1] (numeric) = 1.4778850490402052888166530958883 absolute error = 0.0178807857196645377848523376377 relative error = 1.224707774414138836442589538012 % h = 0.001 y1[1] (analytic) = 1.8879167065254074872319727502484 y1[1] (numeric) = 1.8857762962977605031194897036649 absolute error = 0.0021404102276469841124830465835 relative error = 0.1133741875501634362096729487803 % h = 0.001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=84.55 NO POLE NO POLE x[1] = 0.479 y2[1] (analytic) = 1.4608919498769675547373944731655 y2[1] (numeric) = 1.4788845670705794487583682584805 absolute error = 0.017992617193611894020973785315 relative error = 1.2316186145818097306103446530205 % h = 0.001 y1[1] (analytic) = 1.8874562583804380536921240299613 y1[1] (numeric) = 1.8852979114896210904042531996388 absolute error = 0.0021583468908169632878708303225 relative error = 0.11435215418814353143660722529669 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.48 y2[1] (analytic) = 1.4617791755414828891366429425886 y2[1] (numeric) = 1.4798840840927107281035002856222 absolute error = 0.0181049085512278389668573430336 relative error = 1.2385529123796203262656372908523 % h = 0.001 y1[1] (analytic) = 1.8869949227792841943999548311587 y1[1] (numeric) = 1.8848185271639554249962451994946 absolute error = 0.0021763956153287694037096316641 relative error = 0.11533659094976460037757257862684 % h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=84.75 NO POLE NO POLE x[1] = 0.481 y2[1] (analytic) = 1.4626659394268611636496813457004 y2[1] (numeric) = 1.4808836001065994489911190971334 absolute error = 0.018217660679738285341437751433 relative error = 1.2455106930894138981884822577798 % h = 0.001 y1[1] (analytic) = 1.8865327001832814720646922980094 y1[1] (numeric) = 1.8843381433217717496149859820746 absolute error = 0.0021945568615097224497063159348 relative error = 0.11632752834321481113698159939254 % h = 0.001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.6MB, time=84.96 NO POLE NO POLE x[1] = 0.482 y2[1] (analytic) = 1.4635522406463385667952231544191 y2[1] (numeric) = 1.4818831151122459334783858404534 absolute error = 0.0183308744659073666831626860343 relative error = 1.2524919819610967872066013943035 % h = 0.001 y1[1] (analytic) = 1.8860695910546524441705103828338 y1[1] (numeric) = 1.8838567599640783066578976964554 absolute error = 0.0022128310905741375126126863784 relative error = 0.11732499697091063137474159339241 % h = 0.001 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=85.17 NO POLE NO POLE x[1] = 0.483 y2[1] (analytic) = 1.4644380783136139529542977177052 y2[1] (numeric) = 1.4828826291096505035403821049021 absolute error = 0.0184445507960365505860843871969 relative error = 1.2594968042128847779837166658463 % h = 0.001 y1[1] (analytic) = 1.8856055958565062007540108804759 y1[1] (numeric) = 1.8833743770918833382003863561128 absolute error = 0.0022312187646228625536245243631 relative error = 0.11832902752971344972810223771157 % h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=85.38 NO POLE NO POLE x[1] = 0.484 y2[1] (analytic) = 1.4653234515428497286713220221064 y2[1] (numeric) = 1.4838821420988134810699391361143 absolute error = 0.0185586905559637523986171140079 relative error = 1.2665251850315486330205052493028 % h = 0.001 y1[1] (analytic) = 1.8851407150528379012951719841238 y1[1] (numeric) = 1.8828909947061950859959240038732 absolute error = 0.0022497203466428152992479802506 relative error = 0.11933965081114694042064565552128 % h = 0.001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=85.58 NO POLE NO POLE x[1] = 0.485 y2[1] (analytic) = 1.4662083594486727384916203275428 y2[1] (numeric) = 1.4848816540797351878774670506454 absolute error = 0.0186732946310624493858467231026 relative error = 1.2735771495726587868986194662518 % h = 0.001 y1[1] (analytic) = 1.8846749491085283107222274715935 y1[1] (numeric) = 1.8824066128080217914761310476496 absolute error = 0.0022683363005065192460964239439 relative error = 0.12035689770161517322652021807793 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1586.9MB, alloc=4.6MB, time=85.79 x[1] = 0.486 y2[1] (analytic) = 1.4670928011461751503345058408895 y2[1] (numeric) = 1.48588116505241594569078405075 absolute error = 0.0187883639062407953562782098605 relative error = 1.2806527229608292047796146993264 % h = 0.001 y1[1] (analytic) = 1.884208298489343334530940517158 y1[1] (numeric) = 1.8819212313983716957508587669635 absolute error = 0.0022870670909716387800817501945 relative error = 0.12138079918262147096653990518419 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.487 y2[1] (analytic) = 1.4679767757509153404010390543462 y2[1] (numeric) = 1.4868806750168560761549456393327 absolute error = 0.0189038992659407357539065849865 relative error = 1.2877519302899604091521664319716 % h = 0.001 y1[1] (analytic) = 1.8837407636619335530187370096079 y1[1] (numeric) = 1.8814348504782530396082719902517 absolute error = 0.0023059131836805134104650193562 relative error = 0.12241138633098801672132301804918 % h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=86.00 NO POLE NO POLE x[1] = 0.488 y2[1] (analytic) = 1.4688602823789187776155778409106 y2[1] (numeric) = 1.4878801839730559008320738350709 absolute error = 0.0190199015941371232164959941603 relative error = 1.2948747966234816788025927283268 % h = 0.001 y1[1] (analytic) = 1.8832723450938337546341641423728 y1[1] (numeric) = 1.880947470048674063514931942958 absolute error = 0.0023248750451596911192321994148 relative error = 0.12344869031907621295522758275467 % h = 0.001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.6MB, time=86.20 NO POLE NO POLE x[1] = 0.489 y2[1] (analytic) = 1.4697433201466789076002348654785 y2[1] (numeric) = 1.4888796919210157412011863877099 absolute error = 0.0191363717743368336009515222314 relative error = 1.3020213469945924239654302789543 % h = 0.001 y1[1] (analytic) = 1.882803043253462468442140926205 y1[1] (numeric) = 1.88045909011064300761587926641 absolute error = 0.002343953142819460826261659795 relative error = 0.12449274241500779475345605077471 % h = 0.001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=86.41 NO POLE NO POLE x[1] = 0.49 y2[1] (analytic) = 1.470625888171158036181358337188 y2[1] (numeric) = 1.4898791988607359186580259935307 absolute error = 0.0192533106895778824766676563427 relative error = 1.3091916064065027415926400410218 % h = 0.001 y1[1] (analytic) = 1.8823328586101214957054681591367 y1[1] (numeric) = 1.8799697106651681117347172074802 absolute error = 0.0023631479449533839707509516565 relative error = 0.12554357398288669938334903899205 % h = 0.001 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=86.62 NO POLE NO POLE x[1] = 0.491 y2[1] (analytic) = 1.4715079855697882124271525965983 y2[1] (numeric) = 1.4908787047922167545148895109895 absolute error = 0.0193707192224285420877369143912 relative error = 1.3163855998326731546619419642848 % h = 0.001 y1[1] (analytic) = 1.8818617916339954405830662721614 y1[1] (numeric) = 1.8794793317132576153736949790316 absolute error = 0.0023824599207378252093712931298 relative error = 0.12660121648302169439956699878804 % h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=86.83 NO POLE NO POLE x[1] = 0.492 y2[1] (analytic) = 1.4723896114604721112155555001594 y2[1] (numeric) = 1.49187820971545857000045717653 absolute error = 0.0194885982549864587849016763706 relative error = 1.3236033522170535394267967848086 % h = 0.001 y1[1] (analytic) = 1.8813898427961512399454103523624 y1[1] (numeric) = 1.8789879532559197577137912911477 absolute error = 0.0024018895402314822316190612147 relative error = 0.12766570147214976652157000699216 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1609.8MB, alloc=4.6MB, time=87.03 x[1] = 0.493 y2[1] (analytic) = 1.4732707649615839153314900341658 y2[1] (numeric) = 1.4928777136304616862596218205675 absolute error = 0.0196069486688777709281317864017 relative error = 1.3308448884743212444926658596025 % h = 0.001 y1[1] (analytic) = 1.8809170125685376923076325280146 y1[1] (numeric) = 1.8784955752941627776147980531466 absolute error = 0.002421437274374914692834474868 relative error = 0.12873706060366027352054947586272 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.494 y2[1] (analytic) = 1.4741514451919701970926080610182 y2[1] (numeric) = 1.4938772165372264243533180836458 absolute error = 0.0197257713452562272607100226276 relative error = 1.3381102334901184055863869812468 % h = 0.001 y1[1] (analytic) = 1.8804433014239849858807627825173 y1[1] (numeric) = 1.8780021978289949136154042463787 absolute error = 0.0024411035949900722653585361386 relative error = 0.12981532562781986136174163059463 % h = 0.001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.6MB, time=87.24 NO POLE NO POLE x[1] = 0.495 y2[1] (analytic) = 1.4750316512709507995026445721214 y2[1] (numeric) = 1.4948767184357531052583516327659 absolute error = 0.0198450671648023057557070606445 relative error = 1.3453994121212884598678045312678 % h = 0.001 y1[1] (analytic) = 1.8799687098362042257415801458792 y1[1] (numeric) = 1.8775078208614244039332799678089 absolute error = 0.0024608889747798218083001780703 relative error = 0.13090052839199814885686124780235 % h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=87.44 NO POLE NO POLE x[1] = 0.496 y2[1] (analytic) = 1.475911382318319716931501294139 y2[1] (numeric) = 1.4958762193260420498672283778871 absolute error = 0.0199648370077223329357270837481 relative error = 1.3527124491961118636151856853528 % h = 0.001 y1[1] (analytic) = 1.8794932382797869601215470938628 y1[1] (numeric) = 1.8770124443924594864651606443813 absolute error = 0.0024807938873274736563864494815 relative error = 0.13199270084089418209023553404398 % h = 0.001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.6MB, time=87.65 NO POLE NO POLE x[1] = 0.497 y2[1] (analytic) = 1.4767906374543459753211789685932 y2[1] (numeric) = 1.4968757192080935789879836886005 absolute error = 0.0200850817537476036668047200073 relative error = 1.3600493695145410170984401575011 % h = 0.001 y1[1] (analytic) = 1.8790168872302047058153008658165 y1[1] (numeric) = 1.8765160684231083987869314181685 absolute error = 0.002500818807096307028369447648 relative error = 0.13309187501676366089109229770085 % h = 0.001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.6MB, time=87.87 NO POLE NO POLE x[1] = 0.498 y2[1] (analytic) = 1.4776694157997745119166780989527 y2[1] (numeric) = 1.4978752180819080133440116109749 absolute error = 0.0202058022821335014273335120222 relative error = 1.3674101978484344004367386509403 % h = 0.001 y1[1] (analytic) = 1.8785396571638084727091762926628 y1[1] (numeric) = 1.8760186929543793781537117023032 absolute error = 0.0025209642094290945554645903596 relative error = 0.13419808305964693963336387893593 % h = 0.001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=88.07 NO POLE NO POLE x[1] = 0.499 y2[1] (analytic) = 1.4785477164758270545209884343788 y2[1] (numeric) = 1.4988747159474856735738940845745 absolute error = 0.0203269994716586190529056501957 relative error = 1.3747949589417899242197942627579 % h = 0.001 y1[1] (analytic) = 1.8780615485578282874302356064793 y1[1] (numeric) = 1.8755203179872806614999399076933 absolute error = 0.002541230570547625930295698786 relative error = 0.13531135720759780465330879987408 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1632.7MB, alloc=4.6MB, time=88.28 x[1] = 0.5 y2[1] (analytic) = 1.4794255386042030002732879352156 y2[1] (numeric) = 1.4998742128048268802312301596493 absolute error = 0.0204486742006238799579422244337 relative error = 1.3822036775109774986548310596189 % h = 0.001 y1[1] (analytic) = 1.8775825618903727161162815826038 y1[1] (numeric) = 1.8750209435228204854394583405199 absolute error = 0.0025616183675522306768232420839 relative error = 0.13643172979691303058422693108661 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.501 y2[1] (analytic) = 1.4803028813070802939494724420977 y2[1] (numeric) = 1.5008737086539319537844652144977 absolute error = 0.0205708273468516598349927724 relative error = 1.3896363782449708249841144013874 % h = 0.001 y1[1] (analytic) = 1.8771026976404283863073312442114 y1[1] (numeric) = 1.8745205695620070862655982705178 absolute error = 0.0025821280784213000417329736936 relative error = 0.13755923326236271791655129088914 % h = 0.001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=88.49 NO POLE NO POLE x[1] = 0.502 y2[1] (analytic) = 1.4811797437071163057841377482187 y2[1] (numeric) = 1.5018732034948012146167201730013 absolute error = 0.0206934597876849088325824247826 relative error = 1.397093085805578412900857837472 % h = 0.001 y1[1] (analytic) = 1.8766219562878595079590282378478 y1[1] (numeric) = 1.874019196105848699951265170039 absolute error = 0.0026027601820108080077630678088 relative error = 0.13869390013742141410064055209035 % h = 0.001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=88.70 NO POLE NO POLE x[1] = 0.503 y2[1] (analytic) = 1.4820561249274487088131362528522 y2[1] (numeric) = 1.5028726973274349830256207223319 absolute error = 0.0208165723999862742124844694797 relative error = 1.4045738248276738276743510403479 % h = 0.001 y1[1] (analytic) = 1.8761403383134073935784728664688 y1[1] (numeric) = 1.8735168231553535621490241238978 absolute error = 0.002623515158053831429448742571 relative error = 0.13983576305450002051867107931763 % h = 0.001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=88.90 NO POLE NO POLE x[1] = 0.504 y2[1] (analytic) = 1.4829320240916963557358308536409 y2[1] (numeric) = 1.5038721901518335792231265308309 absolute error = 0.02094016606013722348729567719 relative error = 1.4120786199194251706782717781878 % h = 0.001 y1[1] (analytic) = 1.8756578441986899774829496441145 y1[1] (numeric) = 1.8730134507115299081911854099991 absolute error = 0.0026443934871600692917642341154 relative error = 0.14098485474517848766113601023119 % h = 0.001 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.6MB, time=89.11 NO POLE NO POLE x[1] = 0.505 y2[1] (analytic) = 1.4838074403239601552961692154743 y2[1] (numeric) = 1.504871681967997323335360466061 absolute error = 0.0210642416440371680391912505867 relative error = 1.4196074956625237969993518723906 % h = 0.001 y1[1] (analytic) = 1.8751744744262013341820331134515 y1[1] (numeric) = 1.8725090787753859730898902507478 absolute error = 0.0026653956508153610921428627037 relative error = 0.14214120804043930085260168049367 % h = 0.001 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.6MB, time=89.32 NO POLE NO POLE x[1] = 0.506 y2[1] (analytic) = 1.4846823727488239481817020349524 y2[1] (numeric) = 1.50587117277592653540243781303 absolute error = 0.0211888000271025872207357780776 relative error = 1.4271604766124122737868619486075 % h = 0.001 y1[1] (analytic) = 1.8746902294793111958835535440366 y1[1] (numeric) = 1.8720037073479299915371967352408 absolute error = 0.0026865221313812043463568087958 relative error = 0.14330485587090175888054872798986 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1655.6MB, alloc=4.6MB, time=89.52 x[1] = 0.507 y2[1] (analytic) = 1.4855568204913553824396694014904 y2[1] (numeric) = 1.5068706625756215353782954925873 absolute error = 0.0213138420842661529386260910969 relative error = 1.4347375872985115829867620859475 % h = 0.001 y1[1] (analytic) = 1.8742051098422644691239050052961 y1[1] (numeric) = 1.8714973364301701979051659122401 absolute error = 0.002707773412094271218739093056 relative error = 0.14447583126705704789033665222371 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.508 y2[1] (analytic) = 1.4864307826771067884092798390526 y2[1] (numeric) = 1.507870151367082643130521279992 absolute error = 0.0214393686899758547212414409394 relative error = 1.4423388522244475720878347162966 % h = 0.001 y1[1] (analytic) = 1.8737191160001807505231791838722 y1[1] (numeric) = 1.8709899660231148262459480539279 absolute error = 0.0027291499770659242772311299443 relative error = 0.14565416735950411291857660465629 % h = 0.001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=89.73 NO POLE NO POLE x[1] = 0.509 y2[1] (analytic) = 1.4873042584321160531693070963062 y2[1] (numeric) = 1.5088696391503101784401830236538 absolute error = 0.0215653807181941252708759273476 relative error = 1.4499642958682766564906718456824 % h = 0.001 y1[1] (analytic) = 1.873232248439053841665609190164 y1[1] (numeric) = 1.8704815961277721102918690904427 absolute error = 0.0027506523112817313737400997213 relative error = 0.1468398973791863294464779017372 % h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=89.94 NO POLE NO POLE x[1] = 0.51 y2[1] (analytic) = 1.4881772468829074945001302376746 y2[1] (numeric) = 1.5098691259253044610016578640461 absolute error = 0.0216918790423969665015276263715 relative error = 1.457613942682710777094030384219 % h = 0.001 y1[1] (analytic) = 1.8727445076457512631058084735755 y1[1] (numeric) = 1.8699722267451502834555172151968 absolute error = 0.0027722809006009796502912583787 relative error = 0.14803305465762897736404934044734 % h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=90.14 NO POLE NO POLE x[1] = 0.511 y2[1] (analytic) = 1.4890497471564927343593430733201 y2[1] (numeric) = 1.5108686116920658104224614527911 absolute error = 0.021818864535573076063118379471 relative error = 1.4652878170953416166767966089643 % h = 0.001 y1[1] (analytic) = 1.8722558941080137675012908401947 y1[1] (numeric) = 1.8694618578762575788298296609747 absolute error = 0.00279403623175618867146117922 relative error = 0.14923367262717751974538701512453 % h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=90.35 NO POLE NO POLE x[1] = 0.512 y2[1] (analytic) = 1.4899217583803715718700594525215 y2[1] (numeric) = 1.5118680964505945462230771719177 absolute error = 0.0219463380702229743530177193962 relative error = 1.4729859435088640786376130725799 % h = 0.001 y1[1] (analytic) = 1.8717664083144548518717584403411 y1[1] (numeric) = 1.8689504895221022291881796468122 absolute error = 0.0028159187923526226835787935289 relative error = 0.15044178482123668884466614092891 % h = 0.001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=90.55 NO POLE NO POLE x[1] = 0.513 y2[1] (analytic) = 1.4907932796825328558210414322121 y2[1] (numeric) = 1.512867580200890987836785353291 absolute error = 0.0220743005183581320157439210789 relative error = 1.4807083463012990316381181433282 % h = 0.001 y1[1] (analytic) = 1.8712760507545602689856454666536 y1[1] (numeric) = 1.8684381216836924669844634956564 absolute error = 0.0028379290708678020011819709972 relative error = 0.1516574248745103817318755436429 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1678.5MB, alloc=4.6MB, time=90.76 x[1] = 0.514 y2[1] (analytic) = 1.4916643101914553566777778206244 y2[1] (numeric) = 1.5138670629429554546094924982146 absolute error = 0.0222027527515000979317146775902 relative error = 1.4884550498262153236797293529961 % h = 0.001 y1[1] (analytic) = 1.8707848219186875378744061761341 y1[1] (numeric) = 1.8679247543620365243531879228062 absolute error = 0.0028600675566510135212182533279 relative error = 0.15288062652324236799679013668767 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.515 y2[1] (analytic) = 1.4925348490361086381036410850348 y2[1] (numeric) = 1.5148665446767882657995604972049 absolute error = 0.0223316956406796276959194121701 relative error = 1.496226078412951069127966376964 % h = 0.001 y1[1] (analytic) = 1.8702927222980654534750367218189 y1[1] (numeric) = 1.8674103875581426331095574951328 absolute error = 0.0028823347399228203654792266861 relative error = 0.15411142360545781195916903490555 % h = 0.001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.6MB, time=90.97 NO POLE NO POLE x[1] = 0.516 y2[1] (analytic) = 1.4934048953459539279902511025232 y2[1] (numeric) = 1.515866025402389740577635849938 absolute error = 0.0224611300564358125873847474148 relative error = 1.5040214563668342121824573153229 % h = 0.001 y1[1] (analytic) = 1.8697997523847935954013211515137 y1[1] (numeric) = 1.8668950212730190247495622610806 absolute error = 0.0029047311117745706517588904331 relative error = 0.15534985006120561183269511161251 % h = 0.001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=91.18 NO POLE NO POLE x[1] = 0.517 y2[1] (analytic) = 1.4942744482509449889961747234587 y2[1] (numeric) = 1.5168655051197601980264788853683 absolute error = 0.0225910568688152090303041619096 relative error = 1.5118412079694023702750025285327 % h = 0.001 y1[1] (analytic) = 1.8693059126718418358442928023069 y1[1] (numeric) = 1.8663786555076739304500655514479 absolute error = 0.002927257164167905394227250859 relative error = 0.15659593993280155829973595318373 % h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=91.38 NO POLE NO POLE x[1] = 0.518 y2[1] (analytic) = 1.4951435068815289885930906090811 y2[1] (numeric) = 1.5178649838288999571407929820201 absolute error = 0.022721476947370968547702372939 relative error = 1.5196853574786219608623831529572 % h = 0.001 y1[1] (analytic) = 1.8688112036530498466024031903571 y1[1] (numeric) = 1.8658612902631155810688919509477 absolute error = 0.0029499133899342655335112394094 relative error = 0.15784972736507231496360646576905 % h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=91.59 NO POLE NO POLE x[1] = 0.519 y2[1] (analytic) = 1.4960120703686473686185492970897 y2[1] (numeric) = 1.5188644615298093368270537884507 absolute error = 0.022852391161161968208504491361 relative error = 1.527553929129106615064996127428 % h = 0.001 y1[1] (analytic) = 1.8683156258231266052418913657465 y1[1] (numeric) = 1.8653429255403522071449154405477 absolute error = 0.0029727002827743980969759251988 relative error = 0.15911124660560022315465000591665 % h = 0.001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.6MB, time=91.80 NO POLE NO POLE x[1] = 0.52 y2[1] (analytic) = 1.4968801378437367143344589425478 y2[1] (numeric) = 1.5198639382224886559033384438865 absolute error = 0.0229838003787519415688795013387 relative error = 1.5354469471323348815868736559073 % h = 0.001 y1[1] (analytic) = 1.8678191796776499003878475719885 y1[1] (numeric) = 1.86482356134039203889814771059 absolute error = 0.0029956183372578614896998613985 relative error = 0.16038053200496893357612800407843 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1701.3MB, alloc=4.6MB, time=92.00 x[1] = 0.521 y2[1] (analytic) = 1.4977477084387296229904276756926 y2[1] (numeric) = 1.5208634139069382330991547990309 absolute error = 0.0231157054682086101087271233383 relative error = 1.5433644356768672243372020647274 % h = 0.001 y1[1] (analytic) = 1.8673218657130658361464659190853 y1[1] (numeric) = 1.8643031976642433062298266446903 absolute error = 0.003018668048822529916639274395 relative error = 0.16165761801700986728561779287243 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.522 y2[1] (analytic) = 1.4986147812860555718910940133795 y2[1] (numeric) = 1.5218628885831583870552706370447 absolute error = 0.0232481072971028151641766236652 relative error = 1.5513064189285623171580925450994 % h = 0.001 y1[1] (analytic) = 1.8668236844266883356589816478407 y1[1] (numeric) = 1.8637818345129142387225049744155 absolute error = 0.0030418499137740969364766734252 relative error = 0.1629425391990495085173649056637 % h = 0.001 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.6MB, time=92.20 NO POLE NO POLE x[1] = 0.523 y2[1] (analytic) = 1.4994813555186417859665772569024 y2[1] (numeric) = 1.5228623622511494363235428946986 absolute error = 0.0233810067325076503569656377962 relative error = 1.5592729210307926390480738605563 % h = 0.001 y1[1] (analytic) = 1.866324636316698643787789431451 y1[1] (numeric) = 1.8632594718874130656401391047411 absolute error = 0.0030651644292855781476503267099 relative error = 0.1642353302121575318608196420633 % h = 0.001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=92.41 NO POLE NO POLE x[1] = 0.524 y2[1] (analytic) = 1.5003474302699141048451803058119 y2[1] (numeric) = 1.5238618349109116993667468836981 absolute error = 0.0235144046409975945215665778862 relative error = 1.567263966104659373255574307547 % h = 0.001 y1[1] (analytic) = 1.865824721882144828935240028212 y1[1] (numeric) = 1.8627361097887480159281781102867 absolute error = 0.0030886120933968130070619179253 relative error = 0.16553602582139576632040837241648 % h = 0.001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.6MB, time=92.62 NO POLE NO POLE x[1] = 0.525 y2[1] (analytic) = 1.5012130046737978494274778151016 y2[1] (numeric) = 1.5248613065624454945584055121806 absolute error = 0.023648301888647645130927697079 relative error = 1.5752795782492066136015366100669 % h = 0.001 y1[1] (analytic) = 1.8653239416229412839956134665064 y1[1] (numeric) = 1.8622117482179273182136529023304 absolute error = 0.003112193405013965781960564176 relative error = 0.16684466089606799879144804134307 % h = 0.001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.6MB, time=92.83 NO POLE NO POLE x[1] = 0.526 y2[1] (analytic) = 1.5020780778647186879609231217462 y2[1] (numeric) = 1.525860777205751140182618506385 absolute error = 0.0237826993410324522216953846388 relative error = 1.5833197815416348813752645736952 % h = 0.001 y1[1] (analytic) = 1.864822296039868226440767810055 y1[1] (numeric) = 1.8616863871759592008052655666015 absolute error = 0.0031359088639090256355022434535 relative error = 0.16816127040997061949700779915164 % h = 0.001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.6MB, time=93.04 NO POLE NO POLE x[1] = 0.527 y2[1] (analytic) = 1.5029426489776035016141078660558 y2[1] (numeric) = 1.5268602468408289544338916324932 absolute error = 0.0239175978632254528197837664374 relative error = 1.5913846000375139561326337903516 % h = 0.001 y1[1] (analytic) = 1.8643197856345711975399634177419 y1[1] (numeric) = 1.8611600266638518916934788718516 absolute error = 0.0031597589707193058464845458903 relative error = 0.16948588944164411194045480944462 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1724.2MB, alloc=4.6MB, time=93.25 x[1] = 0.528 y2[1] (analytic) = 1.5038067171478812495498087336605 y2[1] (numeric) = 1.5278597154676792554169659186441 absolute error = 0.0240529983197980058671571849836 relative error = 1.5994740577709950237109100451338 % h = 0.001 y1[1] (analytic) = 1.8638164109095605607143634781479 y1[1] (numeric) = 1.8606326666826136185506059492036 absolute error = 0.0031837442269469421637575289443 relative error = 0.17081855317462538993839222136122 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.529 y2[1] (analytic) = 1.504670281511483833495956245149 y2[1] (numeric) = 1.5288591830863023611466468771199 absolute error = 0.0241889015748185276506906319709 relative error = 1.6075881787550221447596079061571 % h = 0.001 y1[1] (analytic) = 1.8633121723682109990267124642498 y1[1] (numeric) = 1.8601043072332526087309001422785 absolute error = 0.0032078651349583902958123219713 relative error = 0.17215929689770098430870622672601 % h = 0.001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.6MB, time=93.45 NO POLE NO POLE x[1] = 0.53 y2[1] (analytic) = 1.5055333412048469618136610224661 y2[1] (numeric) = 1.5298586496966985895476337267047 absolute error = 0.0243253084918516277339727042386 relative error = 1.6157269869815430470720878544284 % h = 0.001 y1[1] (analytic) = 1.8628070705147610118066950185642 y1[1] (numeric) = 1.8595749483167770892706450281005 absolute error = 0.0032321221979839225360499904637 relative error = 0.17350815600516108179848621766071 % h = 0.001 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.6MB, time=93.66 NO POLE NO POLE x[1] = 0.531 y2[1] (analytic) = 1.5063958953649110130614334641129 y2[1] (numeric) = 1.5308581152988682584543486152151 absolute error = 0.0244622199339572453929151511022 relative error = 1.6238905064217192449879328144215 % h = 0.001 y1[1] (analytic) = 1.8623011058543124104124786433371 y1[1] (numeric) = 1.8590445899341952868882446087788 absolute error = 0.0032565159201171235242340345583 relative error = 0.17486516599705441884666749200397 % h = 0.001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.6MB, time=93.87 NO POLE NO POLE x[1] = 0.532 y2[1] (analytic) = 1.5072579431291218990547332650042 y2[1] (numeric) = 1.5318575798928116856107658422034 absolute error = 0.0245996367636897865560325771992 relative error = 1.6320787610261354891215636589937 % h = 0.001 y1[1] (analytic) = 1.861794278892829813128944434192 y1[1] (numeric) = 1.8585132320865154279843136739676 absolute error = 0.0032810468063143851446307602244 relative error = 0.17623036247944403278636989447554 % h = 0.001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.6MB, time=94.07 NO POLE NO POLE x[1] = 0.533 y2[1] (analytic) = 1.5081194836354319274199857215036 y2[1] (numeric) = 1.5328570434785291886702410818328 absolute error = 0.0247375598430972612502553603292 relative error = 1.6402917747250085496580477706321 % h = 0.001 y1[1] (analytic) = 1.8612865901371401392031109589661 y1[1] (numeric) = 1.8579808747747457386417683341026 absolute error = 0.0033057153623944005613426248635 relative error = 0.17760378116466387310206840666925 % h = 0.001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.6MB, time=94.28 NO POLE NO POLE x[1] = 0.534 y2[1] (analytic) = 1.508980516022300663642202267693 y2[1] (numeric) = 1.5338565060560210851953406059251 absolute error = 0.0248759900337204215531383382321 relative error = 1.648529571428395336442624631643 % h = 0.001 y1[1] (analytic) = 1.8607780400949321020172572462665 y1[1] (numeric) = 1.8574475179998944446259167244152 absolute error = 0.0033305220950376573913405218513 relative error = 0.17898545787157627536693318195623 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1747.1MB, alloc=4.6MB, time=94.48 x[1] = 0.535 y2[1] (analytic) = 1.5098410394286957926053431953273 y2[1] (numeric) = 1.5348559676252876926576705071808 absolute error = 0.0250149281965919000523273118535 relative error = 1.656792175026400359076117279445 % h = 0.001 y1[1] (analytic) = 1.8602686292747557014002517105828 y1[1] (numeric) = 1.8569131617629697713845498797231 absolute error = 0.0033554675117859300157018308597 relative error = 0.1803754285258303004959170395899 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.536 y2[1] (analytic) = 1.5107010529940939796245610171836 y2[1] (numeric) = 1.5358554281863293284377059225708 absolute error = 0.0251543751922353488131449053872 relative error = 1.6650796093893825302141178917869 % h = 0.001 y1[1] (analytic) = 1.8597583581860217150775947025839 y1[1] (numeric) = 1.8563778060649799440480327799976 absolute error = 0.0033805521210417710295619225863 relative error = 0.18177372916012094196044816105478 % h = 0.001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.6MB, time=94.69 NO POLE NO POLE x[1] = 0.537 y2[1] (analytic) = 1.511560555858481730969463441633 y2[1] (numeric) = 1.5368548877391463098246202569012 absolute error = 0.0252943318806645788551568152682 relative error = 1.6733918983681613152536293559137 % h = 0.001 y1[1] (analytic) = 1.8592472273390011892606832345142 y1[1] (numeric) = 1.8558414509069331874293955667077 absolute error = 0.0034057764320680018312876678065 relative error = 0.18318039591444920362090484926986 % h = 0.001 TOP MAIN SOLVE Loop memory used=1754.7MB, alloc=4.6MB, time=94.89 NO POLE NO POLE x[1] = 0.538 y2[1] (analytic) = 1.5124195471623562538775354352446 y2[1] (numeric) = 1.5378543462837389540161144065498 absolute error = 0.0254347991213827001385789713052 relative error = 1.681729065794222231576712022115 % h = 0.001 y1[1] (analytic) = 1.8587352372448249283758072913827 y1[1] (numeric) = 1.8553040962898377260244249299406 absolute error = 0.0034311409549872023513823614421 relative error = 0.18459546503638305084340789558615 % h = 0.001 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.6MB, time=95.10 NO POLE NO POLE x[1] = 0.539 y2[1] (analytic) = 1.5132780260467263160568603600697 y2[1] (numeric) = 1.5388538038201075781182459833754 absolute error = 0.0255757777733812620613856233057 relative error = 1.6900911354799217005066255465622 % h = 0.001 y1[1] (analytic) = 1.8582223884154829839333879989048 y1[1] (numeric) = 1.8547657422147017840117556662978 absolute error = 0.003456646200781199921632332607 relative error = 0.18601897288131923757786452954943 % h = 0.001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.6MB, time=95.31 NO POLE NO POLE x[1] = 0.54 y2[1] (analytic) = 1.5141359916531131046772806829582 y2[1] (numeric) = 1.5398532603482524991452585387986 absolute error = 0.0257172686951393944679778558404 relative error = 1.6984781312186912551179693917539 % h = 0.001 y1[1] (analytic) = 1.8577086813638241425379687789178 y1[1] (numeric) = 1.854226388682533585252962407568 absolute error = 0.0034822926812905572850063713498 relative error = 0.18745095591274601208463628232894 % h = 0.001 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.6MB, time=95.52 NO POLE NO POLE x[1] = 0.541 y2[1] (analytic) = 1.514993443123551084849139265818 y2[1] (numeric) = 1.5408527158681740340194107880556 absolute error = 0.0258592727446229491702715222376 relative error = 1.7068900767852411070284117811537 % h = 0.001 y1[1] (analytic) = 1.8571941166035554130394714822349 y1[1] (numeric) = 1.853686035694341353292651520175 absolute error = 0.0035080809092140597468199620599 relative error = 0.18889145070250670400768155706167 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1770.0MB, alloc=4.6MB, time=95.72 x[1] = 0.542 y2[1] (analytic) = 1.5158503796005888575887427581458 y2[1] (numeric) = 1.5418521703798724995708058346241 absolute error = 0.0260017907792836419820630764783 relative error = 1.7153269959357630752857553036322 % h = 0.001 y1[1] (analytic) = 1.8566786946492415128262303476392 y1[1] (numeric) = 1.853144683251133311358553175402 absolute error = 0.0035340113981082014676771722372 relative error = 0.19034049393106419550254244970206 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.543 y2[1] (analytic) = 1.51670680022729001726968912644 y2[1] (numeric) = 1.542851623883348212537220394821 absolute error = 0.026144823656058195267531268381 relative error = 1.723788912408132880450317542461 % h = 0.001 y1[1] (analytic) = 1.8561624160163043532603174939409 y1[1] (numeric) = 1.852602331353917682361613590391 absolute error = 0.0035600846623866708987039035499 relative error = 0.1917981223877662791381045849874 % h = 0.001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.6MB, time=95.93 NO POLE NO POLE x[1] = 0.544 y2[1] (analytic) = 1.5175627041472340085592018692383 y2[1] (numeric) = 1.5438510763786014895639340225733 absolute error = 0.026288372231367481004732153335 relative error = 1.7322758499221118069589066752819 % h = 0.001 y1[1] (analytic) = 1.8556452812210225242556745097304 y1[1] (numeric) = 1.8520589800037026888960874399175 absolute error = 0.0035863012173198353595870698129 relative error = 0.19326437297111190530165860674858 % h = 0.001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.6MB, time=96.14 NO POLE NO POLE x[1] = 0.545 y2[1] (analytic) = 1.5184180905045169828386139815162 y2[1] (numeric) = 1.5448505278656326472035583343601 absolute error = 0.0264324373611156643649443528439 relative error = 1.7407878321795477368430445682809 % h = 0.001 y1[1] (analytic) = 1.8551272907805307779995655626503 y1[1] (numeric) = 1.8515146292014965532396304389405 absolute error = 0.0036126615790342247599351237098 relative error = 0.19473928268901832184743267411587 % h = 0.001 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.6MB, time=96.34 NO POLE NO POLE x[1] = 0.546 y2[1] (analytic) = 1.5192729584437526541071452480364 y2[1] (numeric) = 1.545849978344442001915866234328 absolute error = 0.0265770199006893478087209862916 relative error = 1.7493248828645755578605330868432 % h = 0.001 y1[1] (analytic) = 1.8546084452128195118178683066931 y1[1] (numeric) = 1.8509692789483074973533920959275 absolute error = 0.0036391662645120144644762107656 relative error = 0.19622288865908910873944705080355 % h = 0.001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.6MB, time=96.55 NO POLE NO POLE x[1] = 0.547 y2[1] (analytic) = 1.5201273071100731543681169619403 y2[1] (numeric) = 1.546849427815029870067621139578 absolute error = 0.0267221207049567156995041776377 relative error = 1.7578870256438169490859727844302 % h = 0.001 y1[1] (analytic) = 1.8540887450367342501847197221881 y1[1] (numeric) = 1.8504229292451437428821086369541 absolute error = 0.003665815791590507302611085234 relative error = 0.19771522810888311045026481836031 % h = 0.001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.6MB, time=96.76 NO POLE NO POLE x[1] = 0.548 y2[1] (analytic) = 1.5209811356491298884967486824406 y2[1] (numeric) = 1.5478488762773965679324062056251 absolute error = 0.0268677406282666794356575231845 relative error = 1.766474284166579546992426431734 % h = 0.001 y1[1] (analytic) = 1.8535681907719751258770348787904 y1[1] (numeric) = 1.8498755800930135111541961005782 absolute error = 0.0036926106789616147228387782122 relative error = 0.19921633837618426888797708383275 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1792.9MB, alloc=4.6MB, time=96.96 x[1] = 0.549 y2[1] (analytic) = 1.5218344432070943885886821638876 y2[1] (numeric) = 1.5488483237315424116904535520298 absolute error = 0.0270138805244480231017713881422 relative error = 1.7750866820650554950430726328369 % h = 0.001 y1[1] (analytic) = 1.8530467829390963602744174669085 y1[1] (numeric) = 1.8493272314929250231818436034891 absolute error = 0.0037195514461713370925738634194 relative error = 0.20072625690927235963456697435688 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.55 y2[1] (analytic) = 1.5226872289306591677883781077573 y2[1] (numeric) = 1.5498477701774677174284734882024 absolute error = 0.0271605412468085496400953804451 relative error = 1.7837242429545193797984166687974 % h = 0.001 y1[1] (analytic) = 1.8525245220595057428049817976178 y1[1] (numeric) = 1.8487778834458864996611067769302 absolute error = 0.0037466386136192431438750206876 relative error = 0.20224502126719463428964440504678 % h = 0.001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.6MB, time=97.18 NO POLE NO POLE x[1] = 0.551 y2[1] (analytic) = 1.5235394919670385735965319092362 y2[1] (numeric) = 1.5508472156151728011394837393789 absolute error = 0.0273077236481342275429518301427 relative error = 1.792386990433525556531416339394 % h = 0.001 y1[1] (analytic) = 1.8520014086554641095376068251937 y1[1] (numeric) = 1.8482275359529061609720013738965 absolute error = 0.0037738727025579485656054512972 relative error = 0.20377266912003837172443326060634 % h = 0.001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.6MB, time=97.38 NO POLE NO POLE x[1] = 0.552 y2[1] (analytic) = 1.5243912314639696406556550910571 y2[1] (numeric) = 1.5518466600446579787226386727698 absolute error = 0.0274554285806883380669835817127 relative error = 1.8010749480841048673297395707507 % h = 0.001 y1[1] (analytic) = 1.8514774432500848209211435999679 y1[1] (numeric) = 1.8476761890149922271785970471056 absolute error = 0.0038012542350925937425465528623 relative error = 0.20530923824920434106182443651019 % h = 0.001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.6MB, time=97.59 NO POLE NO POLE x[1] = 0.553 y2[1] (analytic) = 1.525242446569712943012969639076 y2[1] (numeric) = 1.5528461034659235659830585238808 absolute error = 0.0276036568962106229700888848048 relative error = 1.8097881394719607546512975511528 % h = 0.001 y1[1] (analytic) = 1.8509526263673332386710984122557 y1[1] (numeric) = 1.8471238426331529180291112977424 absolute error = 0.0038287837341803206419871145133 relative error = 0.20685476654768117920928233253536 % h = 0.001 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.6MB, time=97.80 NO POLE NO POLE x[1] = 0.554 y2[1] (analytic) = 1.5260931364330534458597629767672 y2[1] (numeric) = 1.553845545878969878631658623006 absolute error = 0.0277524094459164327718956462388 relative error = 1.8185265881466647732861917844266 % h = 0.001 y1[1] (analytic) = 1.8504269585320262018043147406284 y1[1] (numeric) = 1.8465704968083964529560035949779 absolute error = 0.0038564617236297488483111456505 relative error = 0.20840929202032068578240907260691 % h = 0.001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.6MB, time=98.00 NO POLE NO POLE x[1] = 0.555 y2[1] (analytic) = 1.5269433002033013567463518393519 y2[1] (numeric) = 1.5548449872837972322849786218931 absolute error = 0.0279016870804958755386267825412 relative error = 1.8272903176418515036652753455039 % h = 0.001 y1[1] (analytic) = 1.849900440269831501822177969805 y1[1] (numeric) = 1.8460161515417310510760696662608 absolute error = 0.0038842887281004507461083035442 relative error = 0.20997285278411403826803013285556 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.556 y2[1] (analytic) = 1.5277929370302929762718038326678 y2[1] (numeric) = 1.5558444276804059424650117205811 absolute error = 0.0280514906501129661932078879133 relative error = 1.8360793514754128694426574246381 % h = 0.001 y1[1] (analytic) = 1.8493730721072673570428676949146 y1[1] (numeric) = 1.8454608068341649311905359583829 absolute error = 0.0039122652731024258523317365317 relative error = 0.21154548706846893028676738815483 % h = 0.001 memory used=1815.8MB, alloc=4.6MB, time=98.20 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.557 y2[1] (analytic) = 1.5286420460643915482475659871291 y2[1] (numeric) = 1.5568438670687963245990338944102 absolute error = 0.0282018210044047763514679072811 relative error = 1.8448937131496918622666755956361 % h = 0.001 y1[1] (analytic) = 1.8488448545717018860831832798337 y1[1] (numeric) = 1.8449044626867063117851542693171 absolute error = 0.0039403918849955742980290105166 relative error = 0.2131272332154876358262110313166 % h = 0.001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.6MB, time=98.42 NO POLE NO POLE x[1] = 0.558 y2[1] (analytic) = 1.5294906264564881093341501432183 y2[1] (numeric) = 1.5578433054489686940194331212039 absolute error = 0.0283526789924805846852829779856 relative error = 1.8537334261516756766411217821427 % h = 0.001 y1[1] (analytic) = 1.8483157881913525804904691877283 y1[1] (numeric) = 1.8443471191003634110302965508286 absolute error = 0.0039686690909891694601726368997 relative error = 0.21471812968024600232699057361254 % h = 0.001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.6MB, time=98.62 NO POLE NO POLE x[1] = 0.559 y2[1] (analytic) = 1.530338677358002338150025531897 y2[1] (numeric) = 1.5588427428209233659635386086236 absolute error = 0.0285040654629210278135130767266 relative error = 1.8625985139531882577658352688026 % h = 0.001 y1[1] (analytic) = 1.8477858734952857765251674518325 y1[1] (numeric) = 1.8437887760761444467810498818588 absolute error = 0.0039970974191413297441175699737 relative error = 0.21631821503107337551527739745424 % h = 0.001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.6MB, time=98.82 NO POLE NO POLE x[1] = 0.56 y2[1] (analytic) = 1.531186197920883403851869441112 y2[1] (numeric) = 1.5598421791846606555734500216951 absolute error = 0.0286559812637772517215805805831 relative error = 1.8714890000110822652331689584206 % h = 0.001 y1[1] (analytic) = 1.8472551110134161260945255038663 y1[1] (numeric) = 1.8432294336150576365773116126816 absolute error = 0.0040256773983584895172138911847 relative error = 0.21792752794983345888652729878454 % h = 0.001 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.6MB, time=99.03 NO POLE NO POLE x[1] = 0.561 y2[1] (analytic) = 1.5320331872976108141853273882178 y2[1] (numeric) = 1.5608416145401808778958667105079 absolute error = 0.0288084272425700637105393222901 relative error = 1.8804049077674304554442930602967 % h = 0.001 y1[1] (analytic) = 1.846723501276506066837988426341 y1[1] (numeric) = 1.8426690917181111976438846798324 absolute error = 0.0040544095583948691941037465086 relative error = 0.21954610723220611075659132675148 % h = 0.001 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.6MB, time=99.23 NO POLE NO POLE x[1] = 0.562 y2[1] (analytic) = 1.5328796446411952630054347476258 y2[1] (numeric) = 1.5618410488874843478819169380861 absolute error = 0.0289614042462890848764821904603 relative error = 1.8893462606497164855968231600236 % h = 0.001 y1[1] (analytic) = 1.8461910448161652913648055433158 y1[1] (numeric) = 1.8421077503863133468905730918089 absolute error = 0.0040832944298519444742324515069 relative error = 0.22117399178797008180768720072428 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.563 y2[1] (analytic) = 1.5337255691051794772658523133289 y2[1] (numeric) = 1.5628404822265713803869871084321 absolute error = 0.0291149131213919031211347951032 relative error = 1.8983130820710251420828468203824 % h = 0.001 y1[1] (analytic) = 1.8456577421648502156443821119545 y1[1] (numeric) = 1.8415454096206723009122775855443 absolute error = 0.0041123325441779147321045264102 relative error = 0.22281122064128669606813185972187 % h = 0.001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=99.44 NO POLE NO POLE x[1] = 0.564 y2[1] (analytic) = 1.5345709598436390634760688071373 y2[1] (numeric) = 1.5638399145574422901705509947426 absolute error = 0.0292689547138032266944821876053 relative error = 1.9073053954302319961240741510724 % h = 0.001 y1[1] (analytic) = 1.8451235938558634465499077244872 y1[1] (numeric) = 1.8409820694221962759890914536521 absolute error = 0.0041415244336671705608162708351 relative error = 0.22445783293098447827618847839946 % h = 0.001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.6MB, time=99.66 NO POLE NO POLE x[1] = 0.565 y2[1] (analytic) = 1.5354158160111833536257238754924 y2[1] (numeric) = 1.5648393458800973918959989677963 absolute error = 0.0294235298689140382702750923039 relative error = 1.9163232241121924894585528196024 % h = 0.001 y1[1] (analytic) = 1.8445886004233532485557938769029 y1[1] (numeric) = 1.8404177297918934880863965424429 absolute error = 0.00417087063145976046939733446 relative error = 0.22611386791084473058987876842208 % h = 0.001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.6MB, time=99.86 NO POLE NO POLE x[1] = 0.566 y2[1] (analytic) = 1.5362601367629562505752056506075 y2[1] (numeric) = 1.5658387761945370001304672245146 absolute error = 0.0295786394315807495552615739071 relative error = 1.9253665914879304528811664154281 % h = 0.001 y1[1] (analytic) = 1.8440527624023130095894540068917 y1[1] (numeric) = 1.8398523907307721528549594207123 absolute error = 0.0042003716715408567344945861794 relative error = 0.22777936494988806161615377808863 % h = 0.001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.6MB, time=100.07 NO POLE NO POLE x[1] = 0.567 y2[1] (analytic) = 1.5371039212546370729116774854067 y2[1] (numeric) = 1.5668382055007614293446670166939 absolute error = 0.0297342842461243564329895312872 relative error = 1.9344355209148260604279765856601 % h = 0.001 y1[1] (analytic) = 1.8435160803285807060379601492125 y1[1] (numeric) = 1.8392860522398404856310277193007 absolute error = 0.0042300280887402204069324299118 relative error = 0.22945436353266187074440390981258 % h = 0.001 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.6MB, time=100.27 NO POLE NO POLE x[1] = 0.568 y2[1] (analytic) = 1.5379471686424413992696890063077 y2[1] (numeric) = 1.5678376337987709939127138799109 absolute error = 0.0298904651563295946430248736032 relative error = 1.9435300357368032219823735964218 % h = 0.001 y1[1] (analytic) = 1.842978554738838366910111201784 y1[1] (numeric) = 1.8387187143201067014364266414239 absolute error = 0.0042598404187316654736845603601 relative error = 0.23113890325952879078092169990324 % h = 0.001 TOP MAIN SOLVE Loop memory used=1857.7MB, alloc=4.6MB, time=100.48 NO POLE NO POLE x[1] = 0.569 y2[1] (analytic) = 1.5387898780831219121155271633056 y2[1] (numeric) = 1.5688370610885660081119568625993 absolute error = 0.0300471830054440959964296992937 relative error = 1.9526501592845164170689666045213 % h = 0.001 y1[1] (analytic) = 1.8424401861706115371544486403868 y1[1] (numeric) = 1.8381503769725790149786556437745 absolute error = 0.0042898091980325221757929966123 relative error = 0.23283302384695609189260925382919 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.57 y2[1] (analytic) = 1.5396320487339692409944634930788 y2[1] (numeric) = 1.5698364873701467861228077552996 absolute error = 0.0302044386361775451283442622208 relative error = 1.9617959148755369725891736163068 % h = 0.001 y1[1] (analytic) = 1.841900975162268740133756363916 y1[1] (numeric) = 1.8375810401982656406509852883949 absolute error = 0.0043199349640030994827710755211 relative error = 0.23453676512780604987994630955852 % h = 0.001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.6MB, time=100.69 NO POLE NO POLE x[1] = 0.571 y2[1] (analytic) = 1.540473679752812805240054347939 y2[1] (numeric) = 1.5708359126435136420285703200807 absolute error = 0.0303622328907008367885159721417 relative error = 1.9709673258145387872405615336441 % h = 0.001 y1[1] (analytic) = 1.841360922253020939256582195639 y1[1] (numeric) = 1.8370107039981747925325542653202 absolute error = 0.0043502182548461467240279303188 relative error = 0.23625016705162728181100491985784 % h = 0.001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.6MB, time=100.89 NO POLE NO POLE x[1] = 0.572 y2[1] (analytic) = 1.5413147702980216561446513813949 y2[1] (numeric) = 1.5718353369086668898152695201338 absolute error = 0.0305205666106452336706181387389 relative error = 1.9801644153934835053501385119025 % h = 0.001 y1[1] (analytic) = 1.8408200279829209987663194088936 y1[1] (numeric) = 1.836439368373314684388466585992 absolute error = 0.0043806596096063143778528229016 relative error = 0.23797326968494705206011291011148 % h = 0.001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.6MB, time=101.10 NO POLE NO POLE x[1] = 0.573 y2[1] (analytic) = 1.5421553195285053185902801198912 y2[1] (numeric) = 1.5728347601656068433714807495387 absolute error = 0.0306794406371015247812006296475 relative error = 1.989387206891805142840013754247 % h = 0.001 y1[1] (analytic) = 1.8402782928928631436883874880982 y1[1] (numeric) = 1.8358670333246935296698889474423 absolute error = 0.0044112595681696140184985406559 relative error = 0.23970611321156455180663079123092 % h = 0.001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.6MB, time=101.31 NO POLE NO POLE x[1] = 0.574 y2[1] (analytic) = 1.5429953266037146321390449899122 y2[1] (numeric) = 1.5738341824143338164881590632025 absolute error = 0.0308388558106191843491140732903 relative error = 1.9986357235765941680321135159681 % h = 0.001 y1[1] (analytic) = 1.8397357175245824189360521778498 y1[1] (numeric) = 1.8352936988533195415141482672477 absolute error = 0.0044420186712628774219039106021 relative error = 0.24144873793284515506121589863512 % h = 0.001 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.6MB, time=101.51 NO POLE NO POLE x[1] = 0.575 y2[1] (analytic) = 1.5438347906836425915822197101162 y2[1] (numeric) = 1.5748336036548481228584684069701 absolute error = 0.0309988129712055312762486968539 relative error = 2.0079099887027810399869761677969 % h = 0.001 y1[1] (analytic) = 1.8391923024206541475754257142438 y1[1] (numeric) = 1.8347193649602009327448293892536 absolute error = 0.0044729374604532148305963249902 relative error = 0.24320118426801565429890339950753 % h = 0.001 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.6MB, time=101.72 NO POLE NO POLE x[1] = 0.576 y2[1] (analytic) = 1.5446737109288251869471824994803 y2[1] (numeric) = 1.5758330238871500760776108479075 absolute error = 0.0311593129583248891304283484272 relative error = 2.0172100255133192070600433477972 % h = 0.001 y1[1] (analytic) = 1.8386480481244933882501889733704 y1[1] (numeric) = 1.8341440316463459158718729600681 absolute error = 0.0045040164781474723783160133023 relative error = 0.24496349275446047879033667478042 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.577 y2[1] (analytic) = 1.5455120865003422429613560945909 y2[1] (numeric) = 1.5768324431112399896426558047571 absolute error = 0.0313203566108977466812997101662 relative error = 2.026535857239367568347318197256 % h = 0.001 y1[1] (analytic) = 1.8381029551803543917665781122205 y1[1] (numeric) = 1.8335676989127627030916734763256 absolute error = 0.0045352562675916886749046358949 relative error = 0.24673570404801889873452965316936 % h = 0.001 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.6MB, time=101.92 NO POLE NO POLE x[1] = 0.578 y2[1] (analytic) = 1.546349916559818257972313112208 y2[1] (numeric) = 1.5778318613271181769523692785652 absolute error = 0.0314819447672999189800561663572 relative error = 2.0358875071004724006807751101272 % h = 0.001 y1[1] (analytic) = 1.837557024133330056839179116969 y1[1] (numeric) = 1.8329903667604595062871775027198 absolute error = 0.0045666573728705505520016142492 relative error = 0.2485178589232832183086411670002 % h = 0.001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.6MB, time=102.13 NO POLE NO POLE x[1] = 0.579 y2[1] (analytic) = 1.5471872002694232423232078370701 y2[1] (numeric) = 1.578831278534784951307043083482 absolute error = 0.0316440782653617089838352464119 relative error = 2.0452649983047487538224780114536 % h = 0.001 y1[1] (analytic) = 1.8370102555293513849980745127954 y1[1] (numeric) = 1.8324120351904445370279820608058 absolute error = 0.0045982203389068479700924519896 relative error = 0.25030999827389796076238652939943 % h = 0.001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.6MB, time=102.34 NO POLE NO POLE x[1] = 0.58 y2[1] (analytic) = 1.5480239367918735561826960595765 y2[1] (numeric) = 1.5798306947342406259083240777337 absolute error = 0.0318067579423670697256280181572 relative error = 2.0546683540490613164949956048637 % h = 0.001 y1[1] (analytic) = 1.83646264991518693465788732805 y1[1] (numeric) = 1.8318327042037260065704331885719 absolute error = 0.0046299457114609280874541394781 relative error = 0.25211216311286004869690451652239 % h = 0.001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.6MB, time=102.55 NO POLE NO POLE x[1] = 0.581 y2[1] (analytic) = 1.548860125290432746828505133497 y2[1] (numeric) = 1.580830109925485513859043394767 absolute error = 0.03196998463505276703053826127 relative error = 2.0640975975192047558743919799935 % h = 0.001 y1[1] (analytic) = 1.8359142078384422743492682436758 y1[1] (numeric) = 1.8312523738013121258577246707798 absolute error = 0.004661834037130148491543572896 relative error = 0.25392439457281998268013899486651 % h = 0.001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.6MB, time=102.76 NO POLE NO POLE x[1] = 0.582 y2[1] (analytic) = 1.5496957649289123853838169702094 y2[1] (numeric) = 1.5818295241085199281630456745657 absolute error = 0.0321337591796075427792287043563 relative error = 2.0735527518900835331608191375249 % h = 0.001 y1[1] (analytic) = 1.8353649298475594351133726963536 y1[1] (numeric) = 1.8306710439842111055199969400736 absolute error = 0.00469388586334832959337575628 relative error = 0.25574673390638402136308378111865 % h = 0.001 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.6MB, time=102.97 NO POLE NO POLE x[1] = 0.583 y2[1] (analytic) = 1.5505308548716729030056272331506 y2[1] (numeric) = 1.5828289372833441817250182951397 absolute error = 0.0322980824116712787193910619891 relative error = 2.0830338403258911978305440643329 % h = 0.001 y1[1] (analytic) = 1.834814816491816362059875540848 y1[1] (numeric) = 1.8300887147534311558744361488576 absolute error = 0.0047261017383852061854393919904 relative error = 0.25757922248641736627357718060204 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.584 y2[1] (analytic) = 1.5513653942836244265242445441924 y2[1] (numeric) = 1.5838283494499585873503206041864 absolute error = 0.032462955166334160826076059994 relative error = 2.0925408859802891631621066669284 % h = 0.001 y1[1] (analytic) = 1.8342638683213263650890717134926 y1[1] (numeric) = 1.8295053861099804869253734119427 absolute error = 0.0047584822113458781636983015499 relative error = 0.25942190180634835447671924103499 % h = 0.001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.6MB, time=103.17 NO POLE NO POLE x[1] = 0.585 y2[1] (analytic) = 1.5521993823302276135330940625129 y2[1] (numeric) = 1.584827760608363457744813150924 absolute error = 0.0326283782781358442117190884111 relative error = 2.1020739119965849656182258435621 % h = 0.001 y1[1] (analytic) = 1.8337120858870375687786121746697 y1[1] (numeric) = 1.8289210580548673083643842199606 absolute error = 0.0047910278321702604142279547091 relative error = 0.26127481348047366230342030346703 % h = 0.001 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.6MB, time=103.38 NO POLE NO POLE x[1] = 0.586 y2[1] (analytic) = 1.553032818177494486927990346228 y2[1] (numeric) = 1.5858271707585591055146869180973 absolute error = 0.0327943525810646185866965718693 relative error = 2.1116329415079100106540489411334 % h = 0.001 y1[1] (analytic) = 1.8331594697407323614354252435016 y1[1] (numeric) = 1.8283357305890998295703880235461 absolute error = 0.0048237391516325318650372199555 relative error = 0.26313799924426452336107415434939 % h = 0.001 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.6MB, time=103.58 NO POLE NO POLE x[1] = 0.587 y2[1] (analytic) = 1.5538657009919892688950449575815 y2[1] (numeric) = 1.586826579900545843166292554156 absolute error = 0.0329608789085565742712475965745 relative error = 2.1212179976373968075113745005278 % h = 0.001 y1[1] (analytic) = 1.8326060204350268433133742727858 y1[1] (numeric) = 1.827749403713686259609747988288 absolute error = 0.0048566167213405837036262844978 relative error = 0.26501150095467396405288320656735 % h = 0.001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.6MB, time=103.79 NO POLE NO POLE x[1] = 0.588 y2[1] (analytic) = 1.5546980299408292143463748238537 y2[1] (numeric) = 1.5878259880343239831059696056046 absolute error = 0.0331279580934947687595947817509 relative error = 2.1308291034983556955475692446311 % h = 0.001 y1[1] (analytic) = 1.8320517385233702739972034464729 y1[1] (numeric) = 1.8271620774296348072363709204467 absolute error = 0.0048896610937354667608325260262 relative error = 0.26689536059044505984494688819155 % h = 0.001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.6MB, time=103.99 NO POLE NO POLE x[1] = 0.589 y2[1] (analytic) = 1.5555298041916854438027779183523 y2[1] (numeric) = 1.5888253951598938376398757495255 absolute error = 0.0332955909682083938370978311732 relative error = 2.1404662821944510646370474085303 % h = 0.001 y1[1] (analytic) = 1.8314966245600445189533243156914 y1[1] (numeric) = 1.8265737517379536808918073634402 absolute error = 0.0049228728220908380615169522512 relative error = 0.26878962025242021553285802092003 % h = 0.001 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.6MB, time=104.20 NO POLE NO POLE x[1] = 0.59 y2[1] (analytic) = 1.5563610229127837757225433788758 y2[1] (numeric) = 1.5898248012772557189738160262734 absolute error = 0.0334637783644719432512726473976 relative error = 2.1501295568198770721723834560161 % h = 0.001 y1[1] (analytic) = 1.8309406791001634952479965224907 y1[1] (numeric) = 1.8259844266396510887053518650972 absolute error = 0.0049562524605124065426446573935 relative error = 0.27069432216385147277223565505894 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.591 y2[1] (analytic) = 1.5571916852729055582755637349123 y2[1] (numeric) = 1.5908242063864099392130720723429 absolute error = 0.0336325211135043809375083374306 relative error = 2.1598189504595328591813876754568 % h = 0.001 y1[1] (analytic) = 1.8303839026996726164334569930729 y1[1] (numeric) = 1.8253941021357352384941434156773 absolute error = 0.0049898005639373779393135773956 relative error = 0.27260950867071184815035682075779 % h = 0.001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.6MB, time=104.41 NO POLE NO POLE x[1] = 0.592 y2[1] (analytic) = 1.5580217904413885005619174695279 y2[1] (numeric) = 1.5918236104873568103622313534074 absolute error = 0.0338018200459683098003138838795 relative error = 2.1695344861891972680657878097208 % h = 0.001 y1[1] (analytic) = 1.8298262959153482366025527143388 y1[1] (numeric) = 1.8248027782272143377632660566584 absolute error = 0.0050235176881338988392866576804 relative error = 0.27453522224200770508883418726093 % h = 0.001 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.6MB, time=104.61 NO POLE NO POLE x[1] = 0.593 y2[1] (analytic) = 1.5588513375881275032740906974331 y2[1] (numeric) = 1.5928230135800966443250163975312 absolute error = 0.0339716759919691410509257000981 relative error = 2.1792761870757030644565284576119 % h = 0.001 y1[1] (analytic) = 1.8292678593047970936124330390686 y1[1] (numeric) = 1.8242104549150965937058496602909 absolute error = 0.0050574043897004999065833787777 relative error = 0.27647150547009216288012192301419 % h = 0.001 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.6MB, time=104.82 NO POLE NO POLE x[1] = 0.594 y2[1] (analytic) = 1.559680325883575488802007297074 y2[1] (numeric) = 1.5938224156646297529041140285533 absolute error = 0.0341420897810542641021067314793 relative error = 2.1890440761771106656701231993613 % h = 0.001 y1[1] (analytic) = 1.8287085934264557514778582959995 y1[1] (numeric) = 1.8236171322003902132031708799187 absolute error = 0.0050914612260655382746874160808 relative error = 0.2784184010709795461735183516471 % h = 0.001 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.6MB, time=105.03 NO POLE NO POLE x[1] = 0.595 y2[1] (analytic) = 1.5605087544987442307800373917875 y2[1] (numeric) = 1.5948218167409564478010045996436 absolute error = 0.0343130622422122170209672078561 relative error = 2.1988381765428813782399719588148 % h = 0.001 y1[1] (analytic) = 1.8281484988395900419346823114442 y1[1] (numeric) = 1.8230228100841034028247542710666 absolute error = 0.0051256887554866391099280403776 relative error = 0.2803759518846608782392715347936 % h = 0.001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.6MB, time=105.24 NO POLE NO POLE x[1] = 0.596 y2[1] (analytic) = 1.5613366226052051830751546330814 y2[1] (numeric) = 1.5958212168090770406157912270315 absolute error = 0.0344845942038718575406365939501 relative error = 2.2086585112140501469860877340131 % h = 0.001 y1[1] (analytic) = 1.827587576104294505174067278921 y1[1] (numeric) = 1.8224274885672443688284735832941 absolute error = 0.0051600875370501363455936956269 relative error = 0.2823442008754204213523829166218 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1949.3MB, alloc=4.6MB, time=105.45 x[1] = 0.597 y2[1] (analytic) = 1.5621639293750903082154132979511 y2[1] (numeric) = 1.5968206158689918428470290239065 absolute error = 0.0346566864939015346316157259554 relative error = 2.2185051032233978180762622219941 % h = 0.001 y1[1] (analytic) = 1.8270258257814918297479902425356 y1[1] (numeric) = 1.8218311676508213171606532228155 absolute error = 0.0051946581306705125873370197201 relative error = 0.28432319113215326765074487191327 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.598 y2[1] (analytic) = 1.5629906739810929052579167718239 y2[1] (numeric) = 1.5978200139207011658915543344913 absolute error = 0.0348293399396082606336375626674 relative error = 2.2283779755956229185213387504675 % h = 0.001 y1[1] (analytic) = 1.8264632484329322916466012885597 y1[1] (numeric) = 1.8212338473358424534561698858857 absolute error = 0.005229401097089838190431402674 relative error = 0.28631296586868398383534064544239 % h = 0.001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.6MB, time=105.66 NO POLE NO POLE x[1] = 0.599 y2[1] (analytic) = 1.5638168555964684370954495492333 y2[1] (numeric) = 1.5988194109642053210443139682872 absolute error = 0.0350025553677368839488644190539 relative error = 2.2382771513475129545369530272807 % h = 0.001 y1[1] (analytic) = 1.8258998446211931925479943678021 y1[1] (numeric) = 1.8206355276233159830385543629524 absolute error = 0.0052643169978772095094400048497 relative error = 0.28831356842408631309337999308065 % h = 0.001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.6MB, time=105.87 NO POLE NO POLE x[1] = 0.6 y2[1] (analytic) = 1.5646424733950353572009454456587 y2[1] (numeric) = 1.5998188069995046194981944344915 absolute error = 0.0351763336044692622972489888328 relative error = 2.248202653488115231193847249941 % h = 0.001 y1[1] (analytic) = 1.8253356149096782972409524989554 y1[1] (numeric) = 1.8200362085142501109200935135734 absolute error = 0.005299406395428186320858985382 relative error = 0.29032504226300393763844107282189 % h = 0.001 TOP MAIN SOLVE Loop memory used=1960.7MB, alloc=4.6MB, time=106.08 NO POLE NO POLE x[1] = 0.601 y2[1] (analytic) = 1.5654675265511759358089652761314 y2[1] (numeric) = 1.6008182020265993723438511765876 absolute error = 0.0353506754754234365348859004562 relative error = 2.2581545050189071957686608036442 % h = 0.001 y1[1] (analytic) = 1.8247705598626172702212299301249 y1[1] (numeric) = 1.8194358900096530418019324120997 absolute error = 0.0053346698529642284192975180252 relative error = 0.29234743097597230527493902603079 % h = 0.001 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.6MB, time=106.29 NO POLE NO POLE x[1] = 0.602 y2[1] (analytic) = 1.5662920142398370855333578191989 y2[1] (numeric) = 1.6018175960454898905695378071068 absolute error = 0.0355255818056528050361799879079 relative error = 2.2681327289339663071969508415216 % h = 0.001 y1[1] (analytic) = 1.8242046800450651114619346622117 y1[1] (numeric) = 1.8188345721105329800741766641237 absolute error = 0.005370107934532131387757998088 relative error = 0.29438077827974152340754447720201 % h = 0.001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.6MB, time=106.49 NO POLE NO POLE x[1] = 0.603 y2[1] (analytic) = 1.5671159356365311864202784486542 y2[1] (numeric) = 1.602816989056176485060935342563 absolute error = 0.0357010534196452986406568939088 relative error = 2.2781373482201394340200982113851 % h = 0.001 y1[1] (analytic) = 1.8236379760229015913585755637194 y1[1] (numeric) = 1.8182322548178981298159948936928 absolute error = 0.0054057212050034615425806700266 relative error = 0.29642512801760032392953110549854 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1972.2MB, alloc=4.6MB, time=106.70 x[1] = 0.604 y2[1] (analytic) = 1.5679392899173369104357403800814 y2[1] (numeric) = 1.6038163810586594666009814385591 absolute error = 0.0358770911413225561652410584777 relative error = 2.2881683858572117832077081953924 % h = 0.001 y1[1] (analytic) = 1.8230704483628306848493391318916 y1[1] (numeric) = 1.8176289381327566947957214012881 absolute error = 0.0054415102300739900536177306035 relative error = 0.29848052415970110243744074712834 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.605 y2[1] (analytic) = 1.5687620762589000453868740447335 y2[1] (numeric) = 1.6048157720529391458696996250661 absolute error = 0.0360536957940391004828255803326 relative error = 2.2982258648180753622271210928563 % h = 0.001 y1[1] (analytic) = 1.822502097632380004711161779855 y1[1] (numeric) = 1.8170246220561168784709589925672 absolute error = 0.0054774755762631262402027872878 relative error = 0.30054701080338603523291741785734 % h = 0.001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.6MB, time=106.90 NO POLE NO POLE x[1] = 0.606 y2[1] (analytic) = 1.569584293838434318276070669554 y2[1] (numeric) = 1.6058151620390158334440285418743 absolute error = 0.0362308682005815151679578723203 relative error = 2.308309808068896976721704531028 % h = 0.001 y1[1] (analytic) = 1.8219329243999002340321643536487 y1[1] (numeric) = 1.8164193065889868839886819778726 absolute error = 0.0055136178109133500434823757761 relative error = 0.30262463217351427758607844539339 % h = 0.001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.6MB, time=107.11 NO POLE NO POLE x[1] = 0.607 y2[1] (analytic) = 1.5704059418337222180871867092646 y2[1] (numeric) = 1.6068145510168898397976511742165 absolute error = 0.0364086091831676217104644649519 relative error = 2.3184202385692857661497072674832 % h = 0.001 y1[1] (analytic) = 1.8213629292345645578610164066595 y1[1] (numeric) = 1.8158129917323749141853393425039 absolute error = 0.0055499375021896436756770641556 relative error = 0.30471343262279024674836181889249 % h = 0.001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.6MB, time=107.32 NO POLE NO POLE x[1] = 0.608 y2[1] (analytic) = 1.5712270194231158180029863443854 y2[1] (numeric) = 1.6078139389865614753008240885642 absolute error = 0.0365869195634456572978377441788 relative error = 2.3285571792724602797256128829929 % h = 0.001 y1[1] (analytic) = 1.8207921127063680940337985820488 y1[1] (numeric) = 1.8152056774872891715869580877542 absolute error = 0.0055864352190789224468404942946 relative error = 0.30681345663209299321641414427619 % h = 0.001 TOP MAIN SOLVE Loop memory used=1987.5MB, alloc=4.6MB, time=107.53 NO POLE NO POLE x[1] = 0.609 y2[1] (analytic) = 1.5720475257855375970529998278124 y2[1] (numeric) = 1.6088133259480310502202066685951 absolute error = 0.0367658001624934531672068407827 relative error = 2.3387206531254150949961408914799 % h = 0.001 y1[1] (analytic) = 1.8202204753861273231789322762638 y1[1] (numeric) = 1.8145973638547378584092467427115 absolute error = 0.0056231115313894647696855335523 relative error = 0.30892474881080666376226348963687 % h = 0.001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.6MB, time=107.73 NO POLE NO POLE x[1] = 0.61 y2[1] (analytic) = 1.5728674601004812611909760321627 y2[1] (numeric) = 1.6098127119012988747186903513338 absolute error = 0.0369452518008176135277143191711 relative error = 2.3489106830690869813733021502942 % h = 0.001 y1[1] (analytic) = 1.8196480178454795179007465786548 y1[1] (numeric) = 1.8139880508357291765576990468228 absolute error = 0.005659967009750341343047531832 relative error = 0.31104735389715205975875616400439 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1995.1MB, alloc=4.6MB, time=107.94 x[1] = 0.611 y2[1] (analytic) = 1.5736868215480125638011081205036 y2[1] (numeric) = 1.6108120968463652588552278634641 absolute error = 0.0371252752983526950541197429605 relative error = 2.3591272920385206109372247773105 % h = 0.001 y1[1] (analytic) = 1.8190747406568821711422533035835 y1[1] (numeric) = 1.813377738431271327627697803223 absolute error = 0.0056970022256108435145555003605 relative error = 0.31318131675851929434302634662886 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.612 y2[1] (analytic) = 1.5745056093087701256322118343075 y2[1] (numeric) = 1.6118114807832305125846624578139 absolute error = 0.0373058714744603869524506235064 relative error = 2.3693705029630338188118258117897 % h = 0.001 y1[1] (analytic) = 1.8185006443936124237277017522008 y1[1] (numeric) = 1.8127664266423725129046189028269 absolute error = 0.0057342177512399108230828493739 relative error = 0.31532668239180155197461272600458 % h = 0.001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.6MB, time=108.15 NO POLE NO POLE x[1] = 0.613 y2[1] (analytic) = 1.5753238225639662541590364645238 y2[1] (numeric) = 1.6128108637118949457575571500122 absolute error = 0.0374870411479286915985206854884 relative error = 2.3796403387663824154068123338364 % h = 0.001 y1[1] (analytic) = 1.8179257296297664910854856612912 y1[1] (numeric) = 1.8121541154700409333639355191848 absolute error = 0.0057716141597255577215501421064 relative error = 0.31748349592372995395873717088787 % h = 0.001 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.6MB, time=108.36 NO POLE NO POLE x[1] = 0.614 y2[1] (analytic) = 1.576141460495387762369889144524 y2[1] (numeric) = 1.6138102456323588681200239553187 absolute error = 0.0376687851369711057501348107947 relative error = 2.3899368223669245528099534262229 % h = 0.001 y1[1] (analytic) = 1.8173499969402590891519756162284 y1[1] (numeric) = 1.8115408049152847896713224741012 absolute error = 0.0058091920249742994806531421272 relative error = 0.31965180261120953351921719533476 % h = 0.001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.6MB, time=108.57 NO POLE NO POLE x[1] = 0.615 y2[1] (analytic) = 1.5769585222853967869797536773647 y2[1] (numeric) = 1.6148096265446225893135531256252 absolute error = 0.0378511042592258023337994482605 relative error = 2.400259976677784647604070965693 % h = 0.001 y1[1] (analytic) = 1.8167734469008228594568510241632 y1[1] (numeric) = 1.8109264949791122821827607740168 absolute error = 0.0058469519217105772740902501464 relative error = 0.32183164784165632401949685234266 % h = 0.001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.6MB, time=108.77 NO POLE NO POLE x[1] = 0.616 y2[1] (analytic) = 1.5777750071169316060680856843173 y2[1] (numeric) = 1.6158090064486864188748423866294 absolute error = 0.0380339993317548128067567023121 relative error = 2.4106098246070168623737525150778 % h = 0.001 y1[1] (analytic) = 1.8161960800880077933905065620621 y1[1] (numeric) = 1.8103111856625316109446423171531 absolute error = 0.005884894425476182445864244909 relative error = 0.32402307713333556394434995328738 % h = 0.001 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.6MB, time=108.98 NO POLE NO POLE x[1] = 0.617 y2[1] (analytic) = 1.5785909141735074561404664369381 y2[1] (numeric) = 1.6168083853445506662356261751815 absolute error = 0.0382174711710432100951597382434 relative error = 2.4209863890577681481573932991539 % h = 0.001 y1[1] (analytic) = 1.8156178970791806556541088321442 y1[1] (numeric) = 1.8096948769665509756938747714201 absolute error = 0.0059230201126296799602340607241 relative error = 0.32622613613570102226893542218698 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2018.0MB, alloc=4.6MB, time=109.18 x[1] = 0.618 y2[1] (analytic) = 1.579406242639217348613298311092 y2[1] (numeric) = 1.6178077632322156407225048768021 absolute error = 0.0384015205929982921092065657101 relative error = 2.4313896929284408500908261351297 % h = 0.001 y1[1] (analytic) = 1.8150388984525244068928797746095 y1[1] (numeric) = 1.8090775688921785758579866230865 absolute error = 0.005961329560345831034893151523 relative error = 0.32844087062973544785606741430914 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.619 y2[1] (analytic) = 1.5802209916987328857207253783037 y2[1] (numeric) = 1.6188071401116816515567740633733 absolute error = 0.0385861484129487658360486850696 relative error = 2.4418197591128548784794980030091 % h = 0.001 y1[1] (analytic) = 1.8144590847870376255131842043293 y1[1] (numeric) = 1.8084592614404226105552323962119 absolute error = 0.0059998233466150149579518081174 relative error = 0.330667326528292146536802819722 % h = 0.001 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.6MB, time=109.39 NO POLE NO POLE x[1] = 0.62 y2[1] (analytic) = 1.5810351605373050758429632275822 y2[1] (numeric) = 1.6198065159829490078542537310015 absolute error = 0.0387713554456439320112905034193 relative error = 2.4522766105004094475268994332068 % h = 0.001 y1[1] (analytic) = 1.8138784566625339286839996543607 y1[1] (numeric) = 1.8078399546122912785946980428417 absolute error = 0.006038502050242650089301611519 relative error = 0.33290554987643768954374619561009 % h = 0.001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=109.60 NO POLE NO POLE x[1] = 0.621 y2[1] (analytic) = 1.581848748340765148255222689459 y2[1] (numeric) = 1.6208058908460180186251175380527 absolute error = 0.0389571425052528703698948485937 relative error = 2.4627602699762443839377478116493 % h = 0.001 y1[1] (analytic) = 1.8132970146596413925233475247695 y1[1] (numeric) = 1.8072196484087927784764065039639 absolute error = 0.0060773662508486140469410208056 relative error = 0.335155586851795756980827291504 % h = 0.001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=109.81 NO POLE NO POLE x[1] = 0.622 y2[1] (analytic) = 1.5826617542955253672964127133811 y2[1] (numeric) = 1.6218052647008889927737220433599 absolute error = 0.0391435104053636254773093299788 relative error = 2.4732707604214010076052678110213 % h = 0.001 y1[1] (analytic) = 1.8127147593598019714702653502798 y1[1] (numeric) = 1.8065983428309353083914234412278 absolute error = 0.006116416528866663078841909052 relative error = 0.33741748376489212002771941275866 % h = 0.001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.6MB, time=110.01 NO POLE NO POLE x[1] = 0.623 y2[1] (analytic) = 1.583474177588579845956808229827 y2[1] (numeric) = 1.6228046375475622390984359446031 absolute error = 0.0393304599589823931416277147761 relative error = 2.483808104712982586582801205612 % h = 0.001 y1[1] (analytic) = 1.8121316913452709168429008147311 y1[1] (numeric) = 1.8059760378797270662219631394241 absolute error = 0.006155653465543850620937675307 relative error = 0.33969128705950076559153817714565 % h = 0.001 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.6MB, time=110.22 NO POLE NO POLE x[1] = 0.624 y2[1] (analytic) = 1.584286017407505358883869409543 y2[1] (numeric) = 1.6238040093860380662914693168611 absolute error = 0.0395179919785327074075999073181 relative error = 2.4943723257243143685309140748661 % h = 0.001 y1[1] (analytic) = 1.8115478111991161945833089542001 y1[1] (numeric) = 1.8053527335561762495414945797271 absolute error = 0.006195077642939945041814374473 relative error = 0.34197704331299116713299002399309 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2040.9MB, alloc=4.6MB, time=110.43 x[1] = 0.625 y2[1] (analytic) = 1.5850972729404621548053993141501 y2[1] (numeric) = 1.624803380216316782938702851336 absolute error = 0.0397061072758546281333035371859 relative error = 2.504963446325103190822151604735 % h = 0.001 y1[1] (analytic) = 1.8109631195052179021895348039411 y1[1] (numeric) = 1.8047284298612910556148476836977 absolute error = 0.0062346896439268465746871202434 relative error = 0.34427479923667670540872840448273 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.626 y2[1] (analytic) = 1.5859079433761947683692275150305 y2[1] (numeric) = 1.6258027500383986975195170942498 absolute error = 0.0398948066622039291502895792193 relative error = 2.5155814893815966714766191170109 % h = 0.001 y1[1] (analytic) = 1.810377616848267684835564557014 y1[1] (numeric) = 1.804103126796079681398319728048 absolute error = 0.006274490052188003437244828966 relative error = 0.34658460167616424288632318524855 % h = 0.001 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.6MB, time=110.64 NO POLE NO POLE x[1] = 0.627 y2[1] (analytic) = 1.5867180279040328313986078408783 y2[1] (numeric) = 1.626802118852284118406621685913 absolute error = 0.0400840909482512870080138450347 relative error = 2.5262264777567419830926423559754 % h = 0.001 y1[1] (analytic) = 1.8097913038137681506797291146007 y1[1] (numeric) = 1.8034768243615503235397819301667 absolute error = 0.006314479452217827139947184434 relative error = 0.3489064976117048556029557072139 % h = 0.001 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.6MB, time=110.85 NO POLE NO POLE x[1] = 0.628 y2[1] (analytic) = 1.5875275257138918835625189985835 y2[1] (numeric) = 1.6278014866579733538658845999661 absolute error = 0.0402739609440814703033656013826 relative error = 2.5368984343103442119278802020471 % h = 0.001 y1[1] (analytic) = 1.8092041809880322853621447195559 y1[1] (numeric) = 1.8028495225587111783787862044055 absolute error = 0.0063546584293211069833585151504 relative error = 0.35124053415854572625371843000774 % h = 0.001 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.6MB, time=111.05 NO POLE NO POLE x[1] = 0.629 y2[1] (analytic) = 1.5883364359962741824600573972178 y2[1] (numeric) = 1.6288008534554667120561613827927 absolute error = 0.0404644174591925295961039855749 relative error = 2.5475973818992243042774286271636 % h = 0.001 y1[1] (analytic) = 1.8086162489581828656917761757053 y1[1] (numeric) = 1.8022212213885704419466720891258 absolute error = 0.0063950275696124237451040865795 relative error = 0.35358675856728320231022443422852 % h = 0.001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=111.27 NO POLE NO POLE x[1] = 0.63 y2[1] (analytic) = 1.5891447579422695131181120907946 y2[1] (numeric) = 1.6298002192447645010291243931053 absolute error = 0.0406554613024949879110123023107 relative error = 2.5583233433773766022866656229989 % h = 0.001 y1[1] (analytic) = 1.8080275083121518725237089657771 y1[1] (numeric) = 1.8015919208521363099666738445066 absolute error = 0.0064355874600155625570351212705 relative error = 0.35594521822421702298511852369528 % h = 0.001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.6MB, time=111.48 NO POLE NO POLE x[1] = 0.631 y2[1] (analytic) = 1.5899524907435559969015123421982 y2[1] (numeric) = 1.6307995840258670287290920417032 absolute error = 0.040847093282311031827579699505 relative error = 2.5690763415961259713278427861386 % h = 0.001 y1[1] (analytic) = 1.8074379596386799028272173906462 y1[1] (numeric) = 1.800961620950416977854027721112 absolute error = 0.0064763386882629249731896695342 relative error = 0.35831596065170571887302854568418 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2063.7MB, alloc=4.6MB, time=111.68 x[1] = 0.632 y2[1] (analytic) = 1.5907596335924008998348388981996 y2[1] (numeric) = 1.6317989477987746029928580314027 absolute error = 0.0410393142063737031580191332031 relative error = 2.5798563994042845210607300038207 % h = 0.001 y1[1] (analytic) = 1.8068476035273155809452166617754 y1[1] (numeric) = 1.8003303216844206407160793992192 absolute error = 0.0065172818428949402291372625562 relative error = 0.3606990335085231881135031062041 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.633 y2[1] (analytic) = 1.5915661856816614403350906538176 y2[1] (numeric) = 1.6327983105634875315495205971396 absolute error = 0.041232124881826091214429943322 relative error = 2.5906635396483079222889650178179 % h = 0.001 y1[1] (analytic) = 1.8062564405684149690456876873498 y1[1] (numeric) = 1.7996980230551554933523915989065 absolute error = 0.0065584175132594756932960884433 relative error = 0.36309448459021645293655037943582 % h = 0.001 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=111.89 NO POLE NO POLE x[1] = 0.634 y2[1] (analytic) = 1.592372146204785596354398973423 y2[1] (numeric) = 1.633797672320006122020311746244 absolute error = 0.041425526115220525665912772821 relative error = 2.6014977851724513217151493247573 % h = 0.001 y1[1] (analytic) = 1.8056644713531409767656641006336 y1[1] (numeric) = 1.799064725063629730254851860901 absolute error = 0.0065997462895112465108122397326 relative error = 0.36550236182946460046652247694593 % h = 0.001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=112.10 NO POLE NO POLE x[1] = 0.635 y2[1] (analytic) = 1.5931775143558129119319825259412 y2[1] (numeric) = 1.6347970330683306819184264988871 absolute error = 0.0416195187125177699864439729459 relative error = 2.6123591588189248566891656694192 % h = 0.001 y1[1] (analytic) = 1.8050716964734627700483718865097 y1[1] (numeric) = 1.7984304277108515456077804981862 absolute error = 0.0066412687626112244405913883235 relative error = 0.36792271329643891167528113429602 % h = 0.001 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.6MB, time=112.32 NO POLE NO POLE x[1] = 0.636 y2[1] (analytic) = 1.5939822893293753031545360822647 y2[1] (numeric) = 1.6357963928084615186488521287006 absolute error = 0.0418141034790862154943160464359 relative error = 2.6232476834280487720356700781354 % h = 0.001 y1[1] (analytic) = 1.8044781165221551791741127690167 y1[1] (numeric) = 1.7977951309978291332880387183686 absolute error = 0.0066829855243260458860740506481 relative error = 0.3703555871991641823908335753379 % h = 0.001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.6MB, time=112.53 NO POLE NO POLE x[1] = 0.637 y2[1] (analytic) = 1.5947864703206978635242473145531 y2[1] (numeric) = 1.6367957515403989395081974035683 absolute error = 0.0420092812197010759839500890152 relative error = 2.6341633818384081410382327361633 % h = 0.001 y1[1] (analytic) = 1.8038837320927981059854833289476 y1[1] (numeric) = 1.797158834925570686865136916804 absolute error = 0.0067248971672274191203464121436 relative error = 0.3728010318838812402829426111154 % h = 0.001 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.6MB, time=112.73 NO POLE NO POLE x[1] = 0.638 y2[1] (analytic) = 1.5955900565255996687336362294726 y2[1] (numeric) = 1.6377951092641432516845218265898 absolute error = 0.0422050527385435829508855971172 relative error = 2.645106276887007192649166812193 % h = 0.001 y1[1] (analytic) = 1.8032885437797759303075226262437 y1[1] (numeric) = 1.7965215394950843996013431404827 absolute error = 0.006767004284691530706179485761 relative error = 0.37525909583541066176259260896276 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2086.6MB, alloc=4.6MB, time=112.94 x[1] = 0.639 y2[1] (analytic) = 1.5963930471404945808464124606007 y2[1] (numeric) = 1.6387944659796947622571648772168 absolute error = 0.0424014188392001814107524166161 relative error = 2.656076391409423246985692352797 % h = 0.001 y1[1] (analytic) = 1.8026925521782769155633819069852 y1[1] (numeric) = 1.7958832447073784644517917226738 absolute error = 0.0068093074708984511115901843114 relative error = 0.37772982767751769274763321448331 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.64 y2[1] (analytic) = 1.5971954413623920518835462392079 y2[1] (numeric) = 1.6397938216870537781965752525611 absolute error = 0.0425983803246617263130290133532 relative error = 2.6670737482399602611647333872965 % h = 0.001 y1[1] (analytic) = 1.8020957578842926135861107792603 y1[1] (numeric) = 1.7952439505634610740645920883282 absolute error = 0.0068518073208315395215186909321 relative error = 0.38021327617327837726242591481845 % h = 0.001 TOP MAIN SOLVE Loop memory used=2090.4MB, alloc=4.6MB, time=113.15 NO POLE NO POLE x[1] = 0.641 y2[1] (analytic) = 1.5979972383888979268137494574101 y2[1] (numeric) = 1.6407931763862206063641401088755 absolute error = 0.0427959379973226795503906514654 relative error = 2.6780983702118019875203401804753 % h = 0.001 y1[1] (analytic) = 1.801498161494617268627155046077 y1[1] (numeric) = 1.7946036570643404207809377302402 absolute error = 0.0068945044302768478462173158368 relative error = 0.38270949022544689785488498592339 % h = 0.001 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=113.36 NO POLE NO POLE x[1] = 0.642 y2[1] (analytic) = 1.5987984374182152459475638332798 y2[1] (numeric) = 1.6417925300771955535120143032067 absolute error = 0.0429940926589803075644504699269 relative error = 2.6891502801571647462394649264377 % h = 0.001 y1[1] (analytic) = 1.8008997636068472205621621867689 y1[1] (numeric) = 1.7939623642110246966352153559675 absolute error = 0.0069373993958225239269468308014 relative error = 0.38521851887682413182993436173517 % h = 0.001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.6MB, time=113.56 NO POLE NO POLE x[1] = 0.643 y2[1] (analytic) = 1.599599037649145046734253783893 y2[1] (numeric) = 1.6427918827599789262829496352201 absolute error = 0.0431928451108338795486958513271 relative error = 2.7002295009074498144435978756778 % h = 0.001 y1[1] (analytic) = 1.8003005648193803072946912810412 y1[1] (numeric) = 1.7933200720045220933551142055096 absolute error = 0.0069804928148582139395770755316 relative error = 0.38774041131062742731409579277574 % h = 0.001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.6MB, time=113.77 NO POLE NO POLE x[1] = 0.644 y2[1] (analytic) = 1.6003990382810871649607022094871 y2[1] (numeric) = 1.6437912344345710312101240891977 absolute error = 0.0433921961534838662494218797106 relative error = 2.7113360552933954337355917116455 % h = 0.001 y1[1] (analytic) = 1.7997005657314152663584249718963 y1[1] (numeric) = 1.7926767804458408023617355397442 absolute error = 0.0070237852855744639966894321521 relative error = 0.39027521685086160318168162033004 % h = 0.001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=113.97 NO POLE NO POLE x[1] = 0.645 y2[1] (analytic) = 1.6011984385140410353515079898995 y2[1] (numeric) = 1.6447905851009721747169710762074 absolute error = 0.0435921465869311393654630863079 relative error = 2.7224699661452284382228647282337 % h = 0.001 y1[1] (analytic) = 1.7990997669429511357184818651779 y1[1] (numeric) = 1.7920324895359890147697022996213 absolute error = 0.0070672774069621209487795655566 relative error = 0.39282298496269117688888787662562 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2109.5MB, alloc=4.6MB, time=114.18 x[1] = 0.646 y2[1] (analytic) = 1.6019972375486064915694845932574 y2[1] (numeric) = 1.6457899347591826631170086764452 absolute error = 0.0437926972105761715475240831878 relative error = 2.7336312562928155050200777917789 % h = 0.001 y1[1] (analytic) = 1.7984981690547866537724285643704 y1[1] (numeric) = 1.7913871992759749213872689361156 absolute error = 0.0071109697788117323851596282548 relative error = 0.39538376525281382427797052877961 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.647 y2[1] (analytic) = 1.6027954345859845656157597964862 y2[1] (numeric) = 1.6467892834092028026136688817494 absolute error = 0.0439938488232182369979090852632 relative error = 2.7448199485658140292263259876574 % h = 0.001 y1[1] (analytic) = 1.7978957726685196585515913395922 y1[1] (numeric) = 1.7907409096668067127164314109358 absolute error = 0.0071548630017129458351599286564 relative error = 0.39795760746983507542963981445537 % h = 0.001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.6MB, time=114.39 NO POLE NO POLE x[1] = 0.648 y2[1] (analytic) = 1.6035930288279782866286771176028 y2[1] (numeric) = 1.647788631051032899300126838287 absolute error = 0.0441956022230546126714497206842 relative error = 2.7560360657938226253638730411283 % h = 0.001 y1[1] (analytic) = 1.7972925783865464861232682294208 y1[1] (numeric) = 1.7900936207094925789530373679919 absolute error = 0.0071989576770539071702308614289 relative error = 0.400544561504644250657825070158 % h = 0.001 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=114.60 NO POLE NO POLE x[1] = 0.649 y2[1] (analytic) = 1.6043900194769934790807001609604 y2[1] (numeric) = 1.6487879776846732591591300894125 absolute error = 0.0443979582076797800784299284521 relative error = 2.7672796308065312572574848542859 % h = 0.001 y1[1] (analytic) = 1.796688586812061368194443173288 y1[1] (numeric) = 1.7894453324050407099868964756193 absolute error = 0.0072432544070206582075466976687 relative error = 0.40314467739079164075704553182253 % h = 0.001 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=114.81 NO POLE NO POLE x[1] = 0.65 y2[1] (analytic) = 1.6051864057360395603725216786059 y2[1] (numeric) = 1.6497873233101241880628278186989 absolute error = 0.044600917574084627690306140093 relative error = 2.7785506664338709983254876073064 % h = 0.001 y1[1] (analytic) = 1.7960837985490558289176045706799 y1[1] (numeric) = 1.7887960447544592954018909395601 absolute error = 0.0072877537945965335157136311198 relative error = 0.4057580053048669356287715947376 % h = 0.001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=115.01 NO POLE NO POLE x[1] = 0.651 y2[1] (analytic) = 1.6059821868087303378235797537072 y2[1] (numeric) = 1.6507866679273859917726000931411 absolute error = 0.0448044811186556539490203394339 relative error = 2.7898491955061634242457856244287 % h = 0.001 y1[1] (analytic) = 1.7954782142023180808992714612743 y1[1] (numeric) = 1.7881457577587565244760861867013 absolute error = 0.007332456443561556423185274573 relative error = 0.40838459556687890542937626172928 % h = 0.001 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.6MB, time=115.22 NO POLE NO POLE x[1] = 0.652 y2[1] (analytic) = 1.6067773618992848050581841156014 y2[1] (numeric) = 1.6517860115364589759388871065313 absolute error = 0.0450086496371741708807029909299 relative error = 2.8011752408542696399522243968027 % h = 0.001 y1[1] (analytic) = 1.7948718343774324204118313174373 y1[1] (numeric) = 1.7874944714189405861818417195699 absolute error = 0.0073773629584918342299895978674 relative error = 0.41102449864063633839855829083344 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2132.4MB, alloc=4.6MB, time=115.42 x[1] = 0.653 y2[1] (analytic) = 1.6075719302125279377864562004034 y2[1] (numeric) = 1.6527853541373434461010184230071 absolute error = 0.0452134239248155083145622226037 relative error = 2.8125288253097389429088745804033 % h = 0.001 y1[1] (analytic) = 1.7942646596807786218092942371924 y1[1] (numeric) = 1.7868421857360196691859221415841 absolute error = 0.0074224739447589526233720956083 relative error = 0.41367776513413023954346718531757 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.654 y2[1] (analytic) = 1.6083658909538914889792871763013 y2[1] (numeric) = 1.6537846957300397076870422207713 absolute error = 0.04541880477614821870775504447 relative error = 2.8239099717049571246020432428576 % h = 0.001 y1[1] (analytic) = 1.7936566907195313311475691218565 y1[1] (numeric) = 1.7861889007110019618496083530612 absolute error = 0.0074677900085293692979607687953 relative error = 0.41634444579991729437017595868102 % h = 0.001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.6MB, time=115.63 NO POLE NO POLE x[1] = 0.655 y2[1] (analytic) = 1.609159243329414783436518758647 y2[1] (numeric) = 1.6547840363145480660135545359845 absolute error = 0.0456247929851332825770357773375 relative error = 2.8353187028732944121820889158072 % h = 0.001 y1[1] (analytic) = 1.7930479281016594590098682180164 y1[1] (numeric) = 1.7855346163448956522288089179816 absolute error = 0.0075133117567638067810593000348 relative error = 0.41902459153550460187063086711774 % h = 0.001 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.6MB, time=115.83 NO POLE NO POLE x[1] = 0.656 y2[1] (analytic) = 1.6099519865457455117475522467268 y2[1] (numeric) = 1.6557833758908688262855285068295 absolute error = 0.0458313893451233145379762601027 relative error = 2.846755041649253052179426916943 % h = 0.001 y1[1] (analytic) = 1.792438372435925572537847198391 y1[1] (numeric) = 1.7848793326387089280741716015088 absolute error = 0.0075590397972166444636755968822 relative error = 0.421718253383735680989758344057 % h = 0.001 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=116.04 NO POLE NO POLE x[1] = 0.657 y2[1] (analytic) = 1.6107441198101405236435918216702 y2[1] (numeric) = 1.6567827144590022935961436177484 absolute error = 0.0460385946488617699525517960782 relative error = 2.8582190108686145382114607376758 % h = 0.001 y1[1] (analytic) = 1.7918280243318852866690887503875 y1[1] (numeric) = 1.7842230495934499768311950782654 absolute error = 0.0076049747384353098378936721221 relative error = 0.42442548253317775481402851015125 % h = 0.001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=116.25 NO POLE NO POLE x[1] = 0.658 y2[1] (analytic) = 1.6115356423304666207407287533185 y2[1] (numeric) = 1.6577820520189487729266149438518 absolute error = 0.0462464096884821521858861905333 relative error = 2.8697106333685864845895638489081 % h = 0.001 y1[1] (analytic) = 1.7912168843998866545815384348186 y1[1] (numeric) = 1.7835657672101269856403408113644 absolute error = 0.0076511171897596689411976234542 relative error = 0.42714633031851031673946218353234 % h = 0.001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=116.46 NO POLE NO POLE x[1] = 0.659 y2[1] (analytic) = 1.6123265533152013486730737730358 y2[1] (numeric) = 1.6587813885707085691460223955001 absolute error = 0.0464548352555072204729486224643 relative error = 2.8812299319879491477276638599178 % h = 0.001 y1[1] (analytic) = 1.7906049532510695573455023702928 y1[1] (numeric) = 1.7829074854897481413371451021965 absolute error = 0.0076974677613214160083572680963 relative error = 0.42988084822091498289382459601427 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2155.3MB, alloc=4.6MB, time=116.66 x[1] = 0.66 y2[1] (analytic) = 1.6131168519734337886151454793963 y2[1] (numeric) = 1.6597807241142819870111399630572 absolute error = 0.0466638721408481983959944836609 relative error = 2.892776929567201597246447376922 % h = 0.001 y1[1] (analytic) = 1.7899922314973650927838170912302 y1[1] (numeric) = 1.7822482044333216304523313109724 absolute error = 0.0077440270640434623314857802578 relative error = 0.43262908786846663510457435090267 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.661 y2[1] (analytic) = 1.6139065375148653481927232544241 y2[1] (numeric) = 1.6607800586496693311662649618166 absolute error = 0.0468735211348039829735417073925 relative error = 2.9043516489487075386597089521736 % h = 0.001 y1[1] (analytic) = 1.7893787197514949635408027192822 y1[1] (numeric) = 1.7815879240418556392119222480202 absolute error = 0.007790795709639324328880471262 relative error = 0.43539110103652585872103085683343 % h = 0.001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=116.87 NO POLE NO POLE x[1] = 0.662 y2[1] (analytic) = 1.6146956091498105517813737796007 y2[1] (numeric) = 1.6617793921768709061430472770995 absolute error = 0.0470837830270603543616734974988 relative error = 2.9159541129768407895219109960208 % h = 0.001 y1[1] (analytic) = 1.7887644186269708643606113791516 y1[1] (numeric) = 1.7809266443163583535373527358383 absolute error = 0.0078377743106125108232586433133 relative error = 0.43816693964813267961618786225166 % h = 0.001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.6MB, time=117.08 NO POLE NO POLE x[1] = 0.663 y2[1] (analytic) = 1.6154840660891978301918608531767 y2[1] (numeric) = 1.6627787246958870163603186095255 absolute error = 0.0472946586066891861684577563488 relative error = 2.9275843444981304109086032502457 % h = 0.001 y1[1] (analytic) = 1.7881493287380938685755835804134 y1[1] (numeric) = 1.7802643652578379590455823419024 absolute error = 0.007884963480255909530001238511 relative error = 0.44095665577440160471063512015366 % h = 0.001 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.6MB, time=117.29 NO POLE NO POLE x[1] = 0.664 y2[1] (analytic) = 1.6162719075445703097416488234469 y2[1] (numeric) = 1.6637780562067179661239217204551 absolute error = 0.0475061486621476563822728970082 relative error = 2.9392423663614054960939701968727 % h = 0.001 y1[1] (analytic) = 1.7875334506999538138052260769289 y1[1] (numeric) = 1.7796010868673026410492082822276 absolute error = 0.0079323638326511727560177947013 relative error = 0.44376030163491797037815495762573 % h = 0.001 TOP MAIN SOLVE Loop memory used=2170.6MB, alloc=4.7MB, time=117.50 NO POLE NO POLE x[1] = 0.665 y2[1] (analytic) = 1.6170591327280866007117105665481 y2[1] (numeric) = 1.6647773867093640596265396776049 absolute error = 0.0477182539812774589148291110568 relative error = 2.950928201417939618282432412574 % h = 0.001 y1[1] (analytic) = 1.7869167851284286868664255048233 y1[1] (numeric) = 1.7789368091457605845565784956849 absolute error = 0.0079799759826681023098470091384 relative error = 0.44657792959813560310973593668929 % h = 0.001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.7MB, time=117.70 NO POLE NO POLE x[1] = 0.666 y2[1] (analytic) = 1.6178457408525215851878515520396 y2[1] (numeric) = 1.665776716203825600947525100835 absolute error = 0.0479309753513040157596735487954 relative error = 2.9626418725215949392439231822665 % h = 0.001 y1[1] (analytic) = 1.786299332640184007895512888763 y1[1] (numeric) = 1.778271532094219974271904889072 absolute error = 0.008027800545964033623607999691 relative error = 0.44940959218177579682999220030904 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2178.2MB, alloc=4.7MB, time=117.91 x[1] = 0.667 y2[1] (analytic) = 1.6186317311312672042857621550066 y2[1] (numeric) = 1.6667760446901028940527294081085 absolute error = 0.0481443135588356897669672531019 relative error = 2.9743834025289659806951944685251 % h = 0.001 y1[1] (analytic) = 1.7856810938526722136827948944167 y1[1] (numeric) = 1.777605255713688994595376752938 absolute error = 0.0080758381389832190874181414787 relative error = 0.45225534205322761127729483007012 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.668 y2[1] (analytic) = 1.6194171027783332447590109897005 y2[1] (numeric) = 1.6677753721681962427943320616231 absolute error = 0.0483582693898629980353210719226 relative error = 2.9861528142995230602622764064985 % h = 0.001 y1[1] (analytic) = 1.7850620693841320402201684925159 y1[1] (numeric) = 1.7769379800051758296232743481626 absolute error = 0.0081240893789562105968941443533 relative error = 0.45511523202994949587631093169848 % h = 0.001 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.7MB, time=118.11 NO POLE NO POLE x[1] = 0.669 y2[1] (analytic) = 1.6202018550083481249891926567879 y2[1] (numeric) = 1.6687746986381059509106698141156 absolute error = 0.0485728436297578259214771573277 relative error = 2.9979501306957553938520216703294 % h = 0.001 y1[1] (analytic) = 1.7844422598535879044624364868518 y1[1] (numeric) = 1.7762697049696886631480826632884 absolute error = 0.0081725548838992413143538235634 relative error = 0.45798931507987224354910754526126 % h = 0.001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.7MB, time=118.32 NO POLE NO POLE x[1] = 0.67 y2[1] (analytic) = 1.6209859870365596803574439141266 y2[1] (numeric) = 1.6697740240998323220260659553381 absolute error = 0.0487880370632726416686220412115 relative error = 3.0097753745833138662535101497625 % h = 0.001 y1[1] (analytic) = 1.7838216658808492853029421448381 y1[1] (numeric) = 1.7756004306082356786586053426073 absolute error = 0.0082212352726136066443368022308 relative error = 0.46087764432180327892851118211214 % h = 0.001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.7MB, time=118.53 NO POLE NO POLE x[1] = 0.671 y2[1] (analytic) = 1.6217694980788359479965428996171 y2[1] (numeric) = 1.6707733485533756596506595587066 absolute error = 0.0490038504745397116541166590895 relative error = 3.0216285688311534717829702000912 % h = 0.001 y1[1] (analytic) = 1.7832002880865101037641419549564 y1[1] (numeric) = 1.7749301569218250593400787850001 absolute error = 0.0082701311646850444240631699563 relative error = 0.46378027302583228545502015893258 % h = 0.001 TOP MAIN SOLVE Loop memory used=2193.4MB, alloc=4.7MB, time=118.74 NO POLE NO POLE x[1] = 0.672 y2[1] (analytic) = 1.6225523873516659509228066540965 y2[1] (numeric) = 1.6717726719987362671802347281219 absolute error = 0.0492202846470703162574280740254 relative error = 3.0335097363116754267787900998942 % h = 0.001 y1[1] (analytic) = 1.7825781270919481024037363204577 y1[1] (numeric) = 1.7742588839114649880742864135294 absolute error = 0.0083192431804831143294499069283 relative error = 0.46669725461373817585624626711781 % h = 0.001 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.7MB, time=118.95 NO POLE NO POLE x[1] = 0.673 y2[1] (analytic) = 1.6233346540721604815470028124424 y2[1] (numeric) = 1.6727719944359144478960498449629 absolute error = 0.0494373403637539663490470325205 relative error = 3.0454188999008689557461470865479 % h = 0.001 y1[1] (analytic) = 1.7819551835193242239369787831393 y1[1] (numeric) = 1.7735866115781636474396731157858 absolute error = 0.0083685719411605764973056673535 relative error = 0.46962864265939741052561502460312 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2201.1MB, alloc=4.7MB, time=119.15 x[1] = 0.674 y2[1] (analytic) = 1.6241162974580528845634919520396 y2[1] (numeric) = 1.6737713158649105049646668152519 absolute error = 0.0496550184068576204011748632123 relative error = 3.0573560824784527529437712568501 % h = 0.001 y1[1] (analytic) = 1.7813314579915819890757851548342 y1[1] (numeric) = 1.7729133399229292197114598549867 absolute error = 0.0084181180686527693643252998475 relative error = 0.47257449088919366833488014776217 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.675 y2[1] (analytic) = 1.6248973167276998392168177095343 y2[1] (numeric) = 1.6747706362857247414377803169924 absolute error = 0.0498733195580249022209626074581 relative error = 3.0693213069280161211983875381277 % h = 0.001 y1[1] (analytic) = 1.780706951132446873585264717454 y1[1] (numeric) = 1.7722390689467698868617584518281 absolute error = 0.0084678821856769867235062656259 relative error = 0.47553485318242887443290829729518 % h = 0.001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.7MB, time=119.36 NO POLE NO POLE x[1] = 0.676 y2[1] (analytic) = 1.6256777111000821409449623993491 y2[1] (numeric) = 1.675769955698357460252047047679 absolute error = 0.0500922445982753193070846483299 relative error = 3.0813145961371597897254406742599 % h = 0.001 y1[1] (analytic) = 1.7800816635664256845582964350008 y1[1] (numeric) = 1.7715637986506938305596865370888 absolute error = 0.008517864915731853998609897912 relative error = 0.47850978357173558960116493852783 % h = 0.001 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.7MB, time=119.56 NO POLE NO POLE x[1] = 0.677 y2[1] (analytic) = 1.6264574797948054823984864907691 y2[1] (numeric) = 1.6767692741028089642289149719798 absolute error = 0.0503117943080034818304284812107 relative error = 3.0933359729976364127278055515286 % h = 0.001 y1[1] (analytic) = 1.7794555959188059359087739029204 y1[1] (numeric) = 1.7708875290357092321714826749871 absolute error = 0.0085680668830967037372912279333 relative error = 0.48149933624349076575438166052444 % h = 0.001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.7MB, time=119.77 NO POLE NO POLE x[1] = 0.678 y2[1] (analytic) = 1.6272366220321012338347709245244 y2[1] (numeric) = 1.6777685914990795560744525695907 absolute error = 0.0505319694669783222396816450663 relative error = 3.105385460405490750537318033505 % h = 0.001 y1[1] (analytic) = 1.7788287488156552230841435414996 y1[1] (numeric) = 1.7702102601028242727606216572897 absolute error = 0.0086184887128309503235218842099 relative error = 0.48450356553823087219300986810472 % h = 0.001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.7MB, time=119.98 NO POLE NO POLE x[1] = 0.679 y2[1] (analytic) = 1.6280151370328272228865818746926 y2[1] (numeric) = 1.6787679078871695383791780832623 absolute error = 0.0507527708543423154925962085697 relative error = 3.1174630812611995350571296051634 % h = 0.001 y1[1] (analytic) = 1.778201122883820596997861320718 y1[1] (numeric) = 1.7695319918530471330879299681729 absolute error = 0.0086691310307734639099313525451 relative error = 0.4875225259510683972322657465999 % h = 0.001 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.7MB, time=120.19 NO POLE NO POLE x[1] = 0.68 y2[1] (analytic) = 1.6287930240184685137041781874202 y2[1] (numeric) = 1.679767223267079213617888766999 absolute error = 0.0509741992486106999137105795788 relative error = 3.1295688584698110212560923681623 % h = 0.001 y1[1] (analytic) = 1.7775727187509279371823940840443 y1[1] (numeric) = 1.768852724287385993611701419835 absolute error = 0.0087199944635419435706926642093 relative error = 0.49055627213210972985084715285766 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.681 y2[1] (analytic) = 1.6295702822111381854701823544214 y2[1] (numeric) = 1.68076653763880888414949013443 absolute error = 0.0511962554276706986793077800086 relative error = 3.1417028149410842264596191064632 % memory used=2224.0MB, alloc=4.7MB, time=120.39 h = 0.001 y1[1] (analytic) = 1.7769435370453813241633923181245 y1[1] (numeric) = 1.7681724574068490344878129588613 absolute error = 0.0087710796385322896755793592632 relative error = 0.49360485888687442602075496139661 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.682 y2[1] (analytic) = 1.6303469108335781102864365064475 y2[1] (numeric) = 1.6817658510023588522168252073532 absolute error = 0.0514189401687807419303887009057 relative error = 3.1538649735896278591747360807238 % h = 0.001 y1[1] (analytic) = 1.776313578396362411055661994136 y1[1] (numeric) = 1.76749119121244443556984064334 absolute error = 0.008822387183917975485821350796 relative error = 0.4966683411767158643980797472861 % h = 0.001 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.7MB, time=120.60 NO POLE NO POLE x[1] = 0.683 y2[1] (analytic) = 1.6311229091091597304320655399362 y2[1] (numeric) = 1.682765163357729419946503764451 absolute error = 0.0516422542485696895144382245148 relative error = 3.1660553573350389391803537374661 % h = 0.001 y1[1] (analytic) = 1.7756828434338297943815638847851 y1[1] (numeric) = 1.7668089257051803764091757907298 absolute error = 0.0088739177286494179723880940553 relative error = 0.49974677411924329607311987437892 % h = 0.001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.7MB, time=120.81 NO POLE NO POLE x[1] = 0.684 y2[1] (analytic) = 1.631898276261884834991970118843 y2[1] (numeric) = 1.6837644747049208893487315901783 absolute error = 0.0518661984430360543567614713353 relative error = 3.1782739891020411106071224635158 % h = 0.001 y1[1] (analytic) = 1.7750513327885183841124695384931 y1[1] (numeric) = 1.7661256608860650362551412964784 absolute error = 0.0089256719024533478573282420147 relative error = 0.50284021298874529309677943785747 % h = 0.001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.7MB, time=121.01 NO POLE NO POLE x[1] = 0.685 y2[1] (analytic) = 1.6326730115163863358549729232243 y2[1] (numeric) = 1.6847637850439335623171397238228 absolute error = 0.0520907735275472264621668005985 relative error = 3.1905208918206226497246167063961 % h = 0.001 y1[1] (analytic) = 1.7744190470919387729339038692666 y1[1] (numeric) = 1.7654413967561065940551081233925 absolute error = 0.0089776503358321788787957458741 relative error = 0.50594871321661460051885444516285 % h = 0.001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.7MB, time=121.22 NO POLE NO POLE x[1] = 0.686 y2[1] (analytic) = 1.6334471140979290430808421464934 y2[1] (numeric) = 1.6857630943747677406286137087378 absolute error = 0.0523159802768386975477715622444 relative error = 3.2027960884261741691470010466069 % h = 0.001 y1[1] (analytic) = 1.7737859869763766047350050970526 y1[1] (numeric) = 1.7647561333163132284546119617581 absolute error = 0.0090298536600633762803931352945 relative error = 0.50907233039177439669255347069067 % h = 0.001 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.7MB, time=121.43 NO POLE NO POLE x[1] = 0.687 y2[1] (analytic) = 1.6342205832324104396354168743884 y2[1] (numeric) = 1.686762402697423725943122841747 absolute error = 0.0525418194650132863077059673586 relative error = 3.2150996018596260201617759799549 % h = 0.001 y1[1] (analytic) = 1.7731521530748919423229335490696 y1[1] (numeric) = 1.7640698705676931177974700602119 absolute error = 0.0090822825071988245254634888577 relative error = 0.51221112026110596661841515296252 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.688 y2[1] (analytic) = 1.6349934181463614554930596105924 y2[1] (numeric) = 1.6877617100119018198035494227218 absolute error = 0.0527682918655403643104898121294 relative error = 3.2274314550675853948796790781695 % h = 0.001 y1[1] (analytic) = 1.7725175460213186343628616076503 y1[1] (numeric) = 1.763382608511254440125898227363 absolute error = 0.0091349375100641942369633802873 relative error = 0.51536513872987779311967968323136 % h = 0.001 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.7MB, time=121.63 NO POLE NO POLE x[1] = 0.689 y2[1] (analytic) = 1.6357656180669472411056618466169 y2[1] (numeric) = 1.6887610163182023236355180043305 absolute error = 0.0529953982512550825298561577136 relative error = 3.2397916710024731298973286773928 % h = 0.001 y1[1] (analytic) = 1.7718821664502636815441778645549 y1[1] (numeric) = 1.762694347148005373180628004165 absolute error = 0.0091878193022583083635498603899 relative error = 0.51853444186217607066014523082779 % h = 0.001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.7MB, time=121.84 NO POLE NO POLE x[1] = 0.69 y2[1] (analytic) = 1.6365371822219679402374292070087 y2[1] (numeric) = 1.6897603216163255387472246419602 absolute error = 0.0532231393943575985097954349515 relative error = 3.2521802726226602131577421301371 % h = 0.001 y1[1] (analytic) = 1.7712460149971066019735393154978 y1[1] (numeric) = 1.7620050864789540944010240070382 absolute error = 0.0092409285181525075725153084596 relative error = 0.52171908588133664663459343211619 % h = 0.001 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.7MB, time=122.05 NO POLE NO POLE x[1] = 0.691 y2[1] (analytic) = 1.6373081098398594621646733351585 y2[1] (numeric) = 1.6907596259062717663292661438108 absolute error = 0.0534515160664123041645928086523 relative error = 3.2645972828926039956874387819389 % h = 0.001 y1[1] (analytic) = 1.7706090922979987957954062017814 y1[1] (numeric) = 1.761314826505108780925201441742 absolute error = 0.0092942657928900148702047600394 relative error = 0.52491912717037839498100100875153 % h = 0.001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.7MB, time=122.27 NO POLE NO POLE x[1] = 0.692 y2[1] (analytic) = 1.6380784001496942532398383199832 y2[1] (numeric) = 1.691758929188041307454469321161 absolute error = 0.0536805290383470542146310011778 relative error = 3.277042724782984109882449034622 % h = 0.001 y1[1] (analytic) = 1.7699713989898629090406948784514 y1[1] (numeric) = 1.7606235672274776095901437879969 absolute error = 0.0093478317623852994505510904545 relative error = 0.52813462227243802698296765091515 % h = 0.001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.7MB, time=122.48 NO POLE NO POLE x[1] = 0.693 y2[1] (analytic) = 1.638848052381182067818990099522 y2[1] (numeric) = 1.692758231461634463077720238807 absolute error = 0.053910179080452395258730139285 relative error = 3.289516621270838096009194970326 % h = 0.001 y1[1] (analytic) = 1.7693329357103921967041848602655 y1[1] (numeric) = 1.759931308647068756931820654856 absolute error = 0.0094016270633234397723642054095 relative error = 0.53136562789120634415008387701415 % h = 0.001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.7MB, time=122.68 NO POLE NO POLE x[1] = 0.694 y2[1] (analytic) = 1.639617065764670738551997914018 y2[1] (numeric) = 1.6937575327270515340357934656732 absolute error = 0.0541404669623807954837955516552 relative error = 3.3020189953396967385798848722391 % h = 0.001 y1[1] (analytic) = 1.7686937030980498850513169680168 y1[1] (numeric) = 1.7592380507648903991853058068266 absolute error = 0.0094556523331594858660111611902 relative error = 0.53461220089136593808333704124884 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.695 y2[1] (analytic) = 1.6403854395311469460346375183712 y2[1] (numeric) = 1.6947568329842928210471813255951 absolute error = 0.0543713934531458750125438072239 relative error = 3.3145498699797191142557734267364 % h = 0.001 y1[1] (analytic) = 1.7680537017920685331550202683599 y1[1] (numeric) = 1.7585437935819507122848953607403 absolute error = 0.0095099082101178208701249076196 relative error = 0.53787439829903034225210938311972 % h = 0.001 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.7MB, time=122.88 NO POLE NO POLE x[1] = 0.696 y2[1] (analytic) = 1.641153172912236987821846501921 y2[1] (numeric) = 1.6957561322333586247119231482749 absolute error = 0.0546029593211216368900766463539 relative error = 3.3271092681878273529253812680149 % h = 0.001 y1[1] (analytic) = 1.7674129324324493936632062702603 y1[1] (numeric) = 1.7578485370992578718642261533729 absolute error = 0.0095643953331915217989801168874 relative error = 0.54115227730218464062885937956557 % h = 0.001 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.7MB, time=123.10 NO POLE NO POLE x[1] = 0.697 y2[1] (analytic) = 1.6419202651402075468013627023692 y2[1] (numeric) = 1.6967554304742492455114345204087 absolute error = 0.0548351653340416987100718180395 relative error = 3.3396972129678411135985416690229 % h = 0.001 y1[1] (analytic) = 1.7667713956599617727975696105186 y1[1] (numeric) = 1.7571522813178200532563942798129 absolute error = 0.0096191143421417195411753307057 relative error = 0.54444589525112753814719705424735 % h = 0.001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.7MB, time=123.31 NO POLE NO POLE x[1] = 0.698 y2[1] (analytic) = 1.6426867154479664589269773402679 y2[1] (numeric) = 1.6977547277069649838083365369865 absolute error = 0.0550680122589985248813591967186 relative error = 3.3523137273306117767509484342249 % h = 0.001 y1[1] (analytic) = 1.7661290921161423895843352295162 y1[1] (numeric) = 1.7564550262386454314940738025788 absolute error = 0.0096740658774969580902614269374 relative error = 0.54775530965891489796876570433276 % h = 0.001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.7MB, time=123.52 NO POLE NO POLE x[1] = 0.699 y2[1] (analytic) = 1.643452523069063480310635140883 y2[1] (numeric) = 1.6987540239315061398462850527644 absolute error = 0.0553015008624426595356499118814 relative error = 3.3649588342941563547477172512519 % h = 0.001 y1[1] (analytic) = 1.765486022443294734317592806382 y1[1] (numeric) = 1.7557567718627421813096356314851 absolute error = 0.0097292505805525530079571748969 relative error = 0.55108057820180475056412710986336 % h = 0.001 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.7MB, time=123.73 NO POLE NO POLE x[1] = 0.7 y2[1] (analytic) = 1.6442176872376910536726143513987 y2[1] (numeric) = 1.6997533191478730137497999339088 absolute error = 0.0555356319101819600771855825101 relative error = 3.3776325568837911219683427533192 % h = 0.001 y1[1] (analytic) = 1.7648421872844884262558599901919 y1[1] (numeric) = 1.7550575181911184771352665742569 absolute error = 0.009784669093369949120593415935 relative error = 0.55442175871970377963271508326531 % h = 0.001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.7MB, time=123.94 NO POLE NO POLE x[1] = 0.701 y2[1] (analytic) = 1.6449822071886850741490202033442 y2[1] (numeric) = 1.700752613356065905524094309813 absolute error = 0.0557704061673808313750741064688 relative error = 3.3903349181322649662493351765662 % h = 0.001 y1[1] (analytic) = 1.7641975872835585705525167305838 y1[1] (numeric) = 1.7543572652247824931030885578924 absolute error = 0.0098403220587760774494281726914 relative error = 0.55777890921661528990687358761528 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.702 y2[1] (analytic) = 1.6457460821575256544558260128154 y2[1] (numeric) = 1.7017519065560851150549038250861 absolute error = 0.0560058243985594605990778122707 relative error = 3.4030659410798924632547536098438 % h = 0.001 y1[1] (analytic) = 1.7635522230851051144207537773021 y1[1] (numeric) = 1.7536560129647424030452780207737 absolute error = 0.0098962101203627113754757565284 relative error = 0.56115208786108866190503099464832 % h = 0.001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.7MB, time=124.14 NO POLE NO POLE x[1] = 0.703 y2[1] (analytic) = 1.6465093113803378894086967545133 y2[1] (numeric) = 1.7027511987479309421083158917143 absolute error = 0.056241887367593052699619137201 relative error = 3.4158256487746866753788172757636 % h = 0.001 y1[1] (analytic) = 1.7629060953344922025336791836665 y1[1] (numeric) = 1.7529537614120063804941854755256 absolute error = 0.0099523339224858220394937081409 relative error = 0.56454135298667029871918176153082 % h = 0.001 TOP MAIN SOLVE Loop memory used=2296.4MB, alloc=4.7MB, time=124.36 NO POLE NO POLE x[1] = 0.704 y2[1] (analytic) = 1.6472718940938926197978305898392 y2[1] (numeric) = 1.7037504899316036863305989413942 absolute error = 0.056478595837711066532768351555 relative error = 3.4286140642724916767787718965853 % h = 0.001 y1[1] (analytic) = 1.7622592046778475316602274138083 y1[1] (numeric) = 1.7522505105675825986824552426221 absolute error = 0.0100086941102649329777721711862 relative error = 0.56794676309235606994205127673128 % h = 0.001 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.7MB, time=124.56 NO POLE NO POLE x[1] = 0.705 y2[1] (analytic) = 1.6480338295356071956170544742679 y2[1] (numeric) = 1.7047497801071036472480316780383 absolute error = 0.0567159505714964516309772037704 relative error = 3.4414312106371148061302148345808 % h = 0.001 y1[1] (analytic) = 1.7616115517620617045375164177085 y1[1] (numeric) = 1.7515462604324792305431453547404 absolute error = 0.0100652913295824739943710629681 relative error = 0.57136837684304525785960925726457 % h = 0.001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.7MB, time=124.77 NO POLE NO POLE x[1] = 0.706 y2[1] (analytic) = 1.6487951169435462386464106149696 y2[1] (numeric) = 1.7057490692744311242667323304533 absolute error = 0.0569539523308848856203217154837 relative error = 3.4542771109404586486911402015849 % h = 0.001 y1[1] (analytic) = 1.7609631372347875829802988016283 y1[1] (numeric) = 1.7508410110077044487098476318623 absolute error = 0.010122126227083134270451169766 relative error = 0.57480625306999601105497227416509 % h = 0.001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.7MB, time=124.98 NO POLE NO POLE x[1] = 0.707 y2[1] (analytic) = 1.6495557555564224043874711961547 y2[1] (numeric) = 1.70674835743358641667248790519 absolute error = 0.0571926018771640122850167090353 relative error = 3.4671517882626527492550533563046 % h = 0.001 y1[1] (analytic) = 1.7603139617444396402281539844266 y1[1] (numeric) = 1.7501347622942664255168079271229 absolute error = 0.0101791994501732147113460573037 relative error = 0.57826045077128231059019714202907 % h = 0.001 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.7MB, time=125.18 NO POLE NO POLE x[1] = 0.708 y2[1] (analytic) = 1.6503157446135971433506194368912 y2[1] (numeric) = 1.7077476445845698236305834395661 absolute error = 0.0574318999709726802799640026749 relative error = 3.4800552656921850575676229997427 % h = 0.001 y1[1] (analytic) = 1.7596640259401933125310689925183 y1[1] (numeric) = 1.7494275142931733329990465434065 absolute error = 0.0102365116470199795320224491118 relative error = 0.58173102911225245395301443704318 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.709 y2[1] (analytic) = 1.6510750833550814616935356941786 y2[1] (numeric) = 1.7087469307273816441856312548605 absolute error = 0.0576718473723001824920955606819 relative error = 3.4929875663260331077754882897579 % h = 0.001 y1[1] (analytic) = 1.7590133304719843499740563078382 y1[1] (numeric) = 1.7487192670054333428924788206891 absolute error = 0.0102940634665510070815774871491 relative error = 0.58521804742598906197618571273477 % h = 0.001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.7MB, time=125.39 NO POLE NO POLE x[1] = 0.71 y2[1] (analytic) = 1.6518337710215366812101279728528 y2[1] (numeric) = 1.7097462158620221772614002096807 absolute error = 0.0579124448404854960512722368279 relative error = 3.505948713269794933470017877681 % h = 0.001 y1[1] (analytic) = 1.7583618759905081665414579441396 y1[1] (numeric) = 1.7480100204320546266340358941279 absolute error = 0.0103518555584535399074220500117 relative error = 0.58872156521377061395788947256524 % h = 0.001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.7MB, time=125.60 NO POLE NO POLE x[1] = 0.711 y2[1] (analytic) = 1.6525918068542751986691468534576 y2[1] (numeric) = 1.7107454999884917216606449535019 absolute error = 0.0581536931342165229914981000443 relative error = 3.5189387296378197198830273738459 % h = 0.001 y1[1] (analytic) = 1.7577096631472191894215856872678 y1[1] (numeric) = 1.7472997745740453553617856228971 absolute error = 0.0104098885731738340598000643707 relative error = 0.59224164214553451623235004419853 % h = 0.001 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.7MB, time=125.81 NO POLE NO POLE x[1] = 0.712 y2[1] (analytic) = 1.6533491900952612445017254995287 y2[1] (numeric) = 1.7117447831067905760649351803785 absolute error = 0.0583955930115293315632096808498 relative error = 3.531957638553338194785701330083 % h = 0.001 y1[1] (analytic) = 1.7570566925943302075523481947161 y1[1] (numeric) = 1.7465885294324136999150536897702 absolute error = 0.0104681631619165076372945049459 relative error = 0.59577833806034170946082059510282 % h = 0.001 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.7MB, time=126.01 NO POLE NO POLE x[1] = 0.713 y2[1] (analytic) = 1.6541059199871116408370860568158 y2[1] (numeric) = 1.712744065216919039034484882828 absolute error = 0.0586381452298073981973988260122 relative error = 3.5450054631485927596362352379841 % h = 0.001 y1[1] (analytic) = 1.7564029649848117194085164087805 y1[1] (numeric) = 1.7458762850081678308345448714486 absolute error = 0.0105266799766438885739715373319 relative error = 0.5993317129668428199340170474903 % h = 0.001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.7MB, time=126.22 NO POLE NO POLE x[1] = 0.714 y2[1] (analytic) = 1.6548619957730965588856544087971 y2[1] (numeric) = 1.7137433463188774090079816058869 absolute error = 0.0588813505457808501223271970898 relative error = 3.558082226564967362516012138412 % h = 0.001 y1[1] (analytic) = 1.7557484809723912800312794959955 y1[1] (numeric) = 1.745163041302315918362464479636 absolute error = 0.0105854396700753616688150163595 relative error = 0.60290182704374586019817401047814 % h = 0.001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.7MB, time=126.43 NO POLE NO POLE x[1] = 0.715 y2[1] (analytic) = 1.655617416697140275668825905437 y2[1] (numeric) = 1.7147426264126659843024157013392 absolute error = 0.0591252097155257086335897959022 relative error = 3.5711879519531171143884570748785 % h = 0.001 y1[1] (analytic) = 1.7550932412115528473007442832391 y1[1] (numeric) = 1.7444487983158661324426399728589 absolute error = 0.0106444428956867148581043103802 relative error = 0.60648874064028548433805746695315 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.716 y2[1] (analytic) = 1.6563721820038219300946253354824 y2[1] (numeric) = 1.7157419054982850631129095821169 absolute error = 0.0593697234944631330182842466345 relative error = 3.5843226624730976502090706585738 % h = 0.001 y1[1] (analytic) = 1.7544372463575361274520319179542 y1[1] (numeric) = 1.7437335560498266427206427390325 absolute error = 0.0107036903077094847313891789217 relative error = 0.61009251427669380327152225427925 % h = 0.001 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.7MB, time=126.63 NO POLE NO POLE x[1] = 0.717 y2[1] (analytic) = 1.6571262909383762783785050667013 y2[1] (numeric) = 1.7167411835757349435125469768728 absolute error = 0.0596148926373586651340419101715 relative error = 3.5974863812944942364095303025979 % h = 0.001 y1[1] (analytic) = 1.7537804970663359198356262363344 y1[1] (numeric) = 1.7430173145052056185439100487724 absolute error = 0.010763182561130301291716187562 relative error = 0.61371320864467276543154578433105 % h = 0.001 TOP MAIN SOLVE Loop memory used=2342.2MB, alloc=4.7MB, time=126.84 NO POLE NO POLE x[1] = 0.718 y2[1] (analytic) = 1.6578797427466944488085259333295 y2[1] (numeric) = 1.7177404606450159234522021847259 absolute error = 0.0598607178983214746436762513964 relative error = 3.6106791315965506262731640858806 % h = 0.001 y1[1] (analytic) = 1.7531229939947014609226290790717 y1[1] (numeric) = 1.7423000736830112289618671794516 absolute error = 0.0108229203116902319607618996201 relative error = 0.61735088460786810823310338565232 % h = 0.001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.7MB, time=127.04 NO POLE NO POLE x[1] = 0.719 y2[1] (analytic) = 1.6586325366753246958541661056053 y2[1] (numeric) = 1.7187397367061283007603693301783 absolute error = 0.060107200030803604906203224573 relative error = 3.6239009365682976647135475823803 % h = 0.001 y1[1] (analytic) = 1.7524647378001357675555785493558 y1[1] (numeric) = 1.7415818335842516427260497100024 absolute error = 0.0108829042158841248295288393534 relative error = 0.62100560320234488574377554611982 % h = 0.001 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.7MB, time=127.25 NO POLE NO POLE x[1] = 0.72 y2[1] (analytic) = 1.6593846719714731536180038326482 y2[1] (numeric) = 1.7197390117590723731429916182054 absolute error = 0.0603543397875992195249877855572 relative error = 3.6371518194086816439624481978649 % h = 0.001 y1[1] (analytic) = 1.751805729140894979445486962252 y1[1] (numeric) = 1.7408625942099350282902259864636 absolute error = 0.0109431349309599511552609757884 relative error = 0.62467742563706457799859361846327 % h = 0.001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.7MB, time=127.46 NO POLE NO POLE x[1] = 0.721 y2[1] (analytic) = 1.6601361478830045886295206070606 y2[1] (numeric) = 1.7207382858038484381832905895173 absolute error = 0.0606021379208438495537699824567 relative error = 3.6504318033266924116678444556746 % h = 0.001 y1[1] (analytic) = 1.7511459686759877009157559883658 y1[1] (numeric) = 1.7401423555610695538105197582723 absolute error = 0.0110036131149181471052362300935 relative error = 0.62836641329436378742133865557089 % h = 0.001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.7MB, time=127.67 NO POLE NO POLE x[1] = 0.722 y2[1] (analytic) = 1.6608869636584431519802719575123 y2[1] (numeric) = 1.7217375588404567933415953759933 absolute error = 0.060850595182013641361323418481 relative error = 3.6637409115414912328972791258508 % h = 0.001 y1[1] (analytic) = 1.750485457065174341893627247823 y1[1] (numeric) = 1.7394211176386633871455329853007 absolute error = 0.0110643394265109547480942625223 relative error = 0.63207262773043452783630840155653 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.723 y2[1] (analytic) = 1.6616371185469731307996737341996 y2[1] (numeric) = 1.7227368308688977359551719562882 absolute error = 0.0610997123219246051554982220886 relative error = 3.6770791672825384075363649604608 % h = 0.001 y1[1] (analytic) = 1.7498241949689664581498273630602 y1[1] (numeric) = 1.7386988804437246958564688156369 absolute error = 0.0111253145252417622933585474233 relative error = 0.63579613067580611157646051520875 % h = 0.001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.7MB, time=127.87 NO POLE NO POLE x[1] = 0.724 y2[1] (analytic) = 1.6623866117984396990706524114553 y2[1] (numeric) = 1.7237361018891715632380524116111 absolute error = 0.0613494900907318641674000001558 relative error = 3.6904465937897206445668499453763 % h = 0.001 y1[1] (analytic) = 1.7491621830486260907870672307261 y1[1] (numeric) = 1.7379756439772616472072547341104 absolute error = 0.0111865390713644435798124966157 relative error = 0.63953698403582864021582628276745 % h = 0.001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.7MB, time=128.08 NO POLE NO POLE x[1] = 0.725 y2[1] (analytic) = 1.6631354426633496677844085919225 y2[1] (numeric) = 1.7247353719012785722808641816763 absolute error = 0.0615999292379289044964555897538 relative error = 3.7038432143134781947032652683199 % h = 0.001 y1[1] (analytic) = 1.7484994219661651049780560241387 y1[1] (numeric) = 1.7372514082402824081646658815615 absolute error = 0.0112480137258826968133901425772 relative error = 0.64329524989115810447616882829524 % h = 0.001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.7MB, time=128.29 NO POLE NO POLE x[1] = 0.726 y2[1] (analytic) = 1.6638836103928722344335435575901 y2[1] (numeric) = 1.7257346409052190600506593208265 absolute error = 0.0618510305123468256171157632364 relative error = 3.7172690521149317428618234995961 % h = 0.001 y1[1] (analytic) = 1.7478359123843445279536911882302 y1[1] (numeric) = 1.7365261732337951453984485448547 absolute error = 0.0113097391505493825552426433755 relative error = 0.64707099049824309888003359527172 % h = 0.001 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.7MB, time=128.50 NO POLE NO POLE x[1] = 0.727 y2[1] (analytic) = 1.6646311142388397318427993746266 y2[1] (numeric) = 1.7267339089009933233907437543285 absolute error = 0.0621027946621535915479443797019 relative error = 3.7307241304660090619299066502574 % h = 0.001 y1[1] (analytic) = 1.7471716549666738862420864387327 y1[1] (numeric) = 1.7357999389588080252814438176361 absolute error = 0.0113717160078658609606426210966 relative error = 0.65086426828981315674460709766478 % h = 0.001 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.7MB, time=128.70 NO POLE NO POLE x[1] = 0.728 y2[1] (analytic) = 1.6653779534537483763366637213347 y2[1] (numeric) = 1.7277331758886016590205065348406 absolute error = 0.0623552224348532826838428135059 relative error = 3.7442084726495714292991836788141 % h = 0.001 y1[1] (analytic) = 1.7465066503774105421591005265237 y1[1] (numeric) = 1.7350727054163292138897114318341 absolute error = 0.0114339449610813282693890946896 relative error = 0.65467514587536871113316307088246 % h = 0.001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.7MB, time=128.92 NO POLE NO POLE x[1] = 0.729 y2[1] (analytic) = 1.666124127290759015243091271684 y2[1] (numeric) = 1.7287324418680443635352490990529 absolute error = 0.0626083145772853482921578273689 relative error = 3.7577221019595398076201245287967 % h = 0.001 y1[1] (analytic) = 1.7458408992815590295510302765453 y1[1] (numeric) = 1.7343444726073668770026537599039 absolute error = 0.0114964266741921525483765166414 relative error = 0.65850368604167268740333364163744 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.73 y2[1] (analytic) = 1.6668696350036978737325941307615 y2[1] (numeric) = 1.7297317068393217334060145244995 absolute error = 0.062862071835623859673420393738 relative error = 3.7712650417010207912304327625762 % h = 0.001 y1[1] (analytic) = 1.7451744023448703887901321585503 y1[1] (numeric) = 1.7336152405329291801031399878148 absolute error = 0.0115591618119412086869921707355 relative error = 0.66234995175324373301399743427615 % h = 0.001 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.7MB, time=129.13 NO POLE NO POLE x[1] = 0.731 y2[1] (analytic) = 1.6676144758470573009919544831147 y2[1] (numeric) = 1.7307309708024340649794167865431 absolute error = 0.0631164949553767639874623034284 relative error = 3.7848373151904323197047011801785 % h = 0.001 y1[1] (analytic) = 1.7445071602338415010236373940972 y1[1] (numeric) = 1.7328850091940242883776304587811 absolute error = 0.0116221510398172126460069353161 relative error = 0.66621400615285109027522709291376 % h = 0.001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.7MB, time=129.34 NO POLE NO POLE x[1] = 0.732 y2[1] (analytic) = 1.6683586490759965157318132803332 y2[1] (numeric) = 1.7317302337573816544774700155318 absolute error = 0.0633715846813851387456567351986 relative error = 3.7984389457556291599674043449822 % h = 0.001 y1[1] (analytic) = 1.7438391736157144216769263507235 y1[1] (numeric) = 1.7321537785916603667163011877356 absolute error = 0.0116853950240540549606251629879 relative error = 0.67009591256201111774848598157084 % h = 0.001 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.7MB, time=129.55 NO POLE NO POLE x[1] = 0.733 y2[1] (analytic) = 1.6691021539463423510273894603448 y2[1] (numeric) = 1.732729495704164797997417754128 absolute error = 0.0636273417578224469700282937832 relative error = 3.8120699567360281584061785495642 % h = 0.001 y1[1] (analytic) = 1.7431704431584757132115287200688 y1[1] (numeric) = 1.7314215487268455797131685465459 absolute error = 0.0117488944316301334983601735229 relative error = 0.67399573448148546602710828703256 % h = 0.001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.7MB, time=129.75 NO POLE NO POLE x[1] = 0.734 y2[1] (analytic) = 1.6698449897145899984915848577685 y2[1] (numeric) = 1.73372875664278379151156221481 absolute error = 0.0638837669281937930199773570415 relative error = 3.8257303714827332644172033163311 % h = 0.001 y1[1] (analytic) = 1.7425009695308557771386167218896 y1[1] (numeric) = 1.7306883196005880916662141199737 absolute error = 0.0118126499302676854724026019159 relative error = 0.67791353559178091365003885276589 % h = 0.001 TOP MAIN SOLVE Loop memory used=2399.4MB, alloc=4.7MB, time=129.96 NO POLE NO POLE x[1] = 0.735 y2[1] (analytic) = 1.6705871556379037517797306322801 y2[1] (numeric) = 1.7347280165732389308670935375454 absolute error = 0.0641408609353351790873629052653 relative error = 3.8394202133586603268093889092379 % h = 0.001 y1[1] (analytic) = 1.7418307534023281852886593204188 y1[1] (numeric) = 1.7299540912138960665775097323757 absolute error = 0.0118766621884321187111495880431 relative error = 0.68184937975365086892484928155596 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2403.3MB, alloc=4.7MB, time=130.17 x[1] = 0.736 y2[1] (analytic) = 1.671328650974117749425231710308 y2[1] (numeric) = 1.7357272754955305117859190476372 absolute error = 0.0643986245214127623606873373292 relative error = 3.8531395057386616644889914068994 % h = 0.001 y1[1] (analytic) = 1.7411597954431090103379061833593 y1[1] (numeric) = 1.7292188635677776681533426451475 absolute error = 0.0119409318753313421845635382118 relative error = 0.68580333100859854345918562459349 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.737 y2[1] (analytic) = 1.672069474981736717005366404475 y2[1] (numeric) = 1.7367265334096588298644925137416 absolute error = 0.0646570584279221128591261092666 relative error = 3.8668882720096504128412205266492 % h = 0.001 y1[1] (analytic) = 1.7404880963241561555923708569716 y1[1] (numeric) = 1.7284826366632410598043409249091 absolute error = 0.0120054596609150957880299320625 relative error = 0.6897754535793818032230407952675 % h = 0.001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.7MB, time=130.38 NO POLE NO POLE x[1] = 0.738 y2[1] (analytic) = 1.6728096269199367086364990450493 y2[1] (numeric) = 1.7377257903156241805736434060588 absolute error = 0.0649161633956874719371443610095 relative error = 3.8806665355707246472203754665422 % h = 0.001 y1[1] (analytic) = 1.7398156567171686840299833732174 y1[1] (numeric) = 1.7277454105012944046455989824326 absolute error = 0.0120702462158742793843843907848 relative error = 0.6937658118705197029875821771715 % h = 0.001 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.7MB, time=130.58 NO POLE NO POLE x[1] = 0.739 y2[1] (analytic) = 1.6735491060485658477979641282533 y2[1] (numeric) = 1.7387250462134268592584061546952 absolute error = 0.0651759401648610114604420264419 relative error = 3.8944743198332912849550404220453 % h = 0.001 y1[1] (analytic) = 1.7391424772945861466015832467493 y1[1] (numeric) = 1.7270071850829458654968032823115 absolute error = 0.0121352922116402811047799644378 relative error = 0.69777447046880071000970221138057 % h = 0.001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.7MB, time=130.79 NO POLE NO POLE x[1] = 0.74 y2[1] (analytic) = 1.6742879116281450674838811576082 y2[1] (numeric) = 1.7397243011030671611378494081988 absolute error = 0.0654363894749220936539682505906 relative error = 3.908311648221189767269894011224 % h = 0.001 y1[1] (analytic) = 1.7384685587295879097914245606988 y1[1] (numeric) = 1.7262679604092036048823582233713 absolute error = 0.0122005983203843049090663373275 relative error = 0.70180149414379262285499752392478 % h = 0.001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.7MB, time=131.00 NO POLE NO POLE x[1] = 0.741 y2[1] (analytic) = 1.6750260429198688496821600265609 y2[1] (numeric) = 1.7407235549845453813049052922659 absolute error = 0.065697512064676531622745265705 relative error = 3.92217854417081552252073548152 % h = 0.001 y1[1] (analytic) = 1.7377939016960924824378655807009 y1[1] (numeric) = 1.725527736481075785031512189822 absolute error = 0.0122661652150166974063533908789 relative error = 0.70584694784835419127552086831978 % h = 0.001 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.7MB, time=131.21 NO POLE NO POLE x[1] = 0.742 y2[1] (analytic) = 1.6757634991856059641799574634498 y2[1] (numeric) = 1.741722807857861814726198668621 absolute error = 0.0659593086722558505462412051712 relative error = 3.9360750311312432121344051495317 % h = 0.001 y1[1] (analytic) = 1.7371185068687568418149160764094 y1[1] (numeric) = 1.7247865132995705678784837731515 absolute error = 0.0123319935691862739364323032579 relative error = 0.70991089671914844308239029123153 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2426.2MB, alloc=4.7MB, time=131.41 x[1] = 0.743 y2[1] (analytic) = 1.676500279687900206694845733414 y2[1] (numeric) = 1.7427220597230167562418763940682 absolute error = 0.0662217800351165495470306606542 relative error = 3.9500011325643497606403769187065 % h = 0.001 y1[1] (analytic) = 1.7364423749229757589753162689006 y1[1] (numeric) = 1.7240442908656961150625881647599 absolute error = 0.0123980840572796439127281041407 relative error = 0.71399340607715772397718196461255 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.744 y2[1] (analytic) = 1.6772363836899711363309554661397 y2[1] (numeric) = 1.7437213105800105005654365797152 absolute error = 0.0664849268900393642344811135755 relative error = 3.963956871944937171175926806611 % h = 0.001 y1[1] (analytic) = 1.7357655065348811233558220608284 y1[1] (numeric) = 1.7233010691804605879283637193348 absolute error = 0.0124644373544205354274583414936 relative error = 0.71809454142820045632997755044022 % h = 0.001 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.7MB, time=131.62 NO POLE NO POLE x[1] = 0.745 y2[1] (analytic) = 1.6779718104557148123593551533613 y2[1] (numeric) = 1.7447205604288433422835578503697 absolute error = 0.0667487499731285299242026970084 relative error = 3.9779422727608551278419330714536 % h = 0.001 y1[1] (analytic) = 1.7350879023813412666453719439904 y1[1] (numeric) = 1.7225568482448721475256986889676 absolute error = 0.0125310541364691191196732550228 relative error = 0.7222143684634496229159842631402 % h = 0.001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.7MB, time=131.83 NO POLE NO POLE x[1] = 0.746 y2[1] (analytic) = 1.6787065592497045303219305358001 y2[1] (numeric) = 1.7457198092695155758559286041078 absolute error = 0.0670132500198110455339980683077 relative error = 3.9919573585131233862815406355062 % h = 0.001 y1[1] (analytic) = 1.7344095631399602859168117160826 y1[1] (numeric) = 1.7218116280599389546099581280098 absolute error = 0.0125979350800213313068535880728 relative error = 0.72635295305995298164679645998098 % h = 0.001 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.7MB, time=132.05 NO POLE NO POLE x[1] = 0.747 y2[1] (analytic) = 1.6794406293371915574580277757215 y2[1] (numeric) = 1.7467190571020274956150762720147 absolute error = 0.0672784277648359381570484962932 relative error = 4.0060021527160539538491249411006 % h = 0.001 y1[1] (analytic) = 1.733730489489077366022853874859 y1[1] (numeric) = 1.7210654086266691696421109686698 absolute error = 0.0126650808624081963807429061892 relative error = 0.73051036128115501735662211406932 % h = 0.001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.7MB, time=132.26 NO POLE NO POLE x[1] = 0.748 y2[1] (analytic) = 1.6801740199841058674531249885306 y2[1] (numeric) = 1.7477183039263793957661965780978 absolute error = 0.0675442839422735283130715895672 relative error = 4.0200766788973730607322180225596 % h = 0.001 y1[1] (analytic) = 1.7330506821077661012569492936833 y1[1] (numeric) = 1.7203181899460709527888572673502 absolute error = 0.0127324921616951484680920263331 relative error = 0.73468665937742063672815640463035 % h = 0.001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.7MB, time=132.46 NO POLE NO POLE x[1] = 0.749 y2[1] (analytic) = 1.6809067304570568745087973847929 y2[1] (numeric) = 1.748717549742571570386982799372 absolute error = 0.0678108192855146958781854145791 relative error = 4.0341809605983429233843123165044 % h = 0.001 y1[1] (analytic) = 1.7323701416758338162797495175416 y1[1] (numeric) = 1.7195699720191524639227556217246 absolute error = 0.012800169656681352356993895817 relative error = 0.73888191378656061246724839190065 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2449.0MB, alloc=4.7MB, time=132.67 x[1] = 0.75 y2[1] (analytic) = 1.6816387600233341667332419527799 y2[1] (numeric) = 1.7497167945506043134274550261172 absolute error = 0.0680780345272701466942130733373 relative error = 4.0483150213738833016217354439219 % h = 0.001 y1[1] (analytic) = 1.7316888688738208863118387530001 y1[1] (numeric) = 1.7188207548469218626223507585548 absolute error = 0.0128681140268990236894879944453 relative error = 0.74309619113435878286007583103945 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.751 y2[1] (analytic) = 1.6823701079509082388516282910726 y2[1] (numeric) = 1.7507160383504779187097894223082 absolute error = 0.0683459303995696798581611312356 relative error = 4.062478884792692850733091763987 % h = 0.001 y1[1] (analytic) = 1.7310068643830000565934153593164 y1[1] (numeric) = 1.7180705384303873081723012922469 absolute error = 0.0129363259526127484211140670695 relative error = 0.7473295582351010128712181233308 % h = 0.001 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.7MB, time=132.88 NO POLE NO POLE x[1] = 0.752 y2[1] (analytic) = 1.6831007735084312242355428809353 y2[1] (numeric) = 1.7517152811421926799281474862165 absolute error = 0.0686145076337614556926046052812 relative error = 4.0766725744373702699450938031372 % h = 0.001 y1[1] (analytic) = 1.7303241288853757611116033809685 y1[1] (numeric) = 1.7173193227705569595635076541477 absolute error = 0.0130048061148188015480957268208 relative error = 0.75158208209210592296579871017364 % h = 0.001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.7MB, time=133.09 NO POLE NO POLE x[1] = 0.753 y2[1] (analytic) = 1.6838307559652376262507947690758 y2[1] (numeric) = 1.7527145229257488906485053111851 absolute error = 0.0688837669605112643977105421093 relative error = 4.0908961139045352485839585883759 % h = 0.001 y1[1] (analytic) = 1.729640663063683440596075394231 y1[1] (numeric) = 1.7165671078684389754932401925799 absolute error = 0.0130735551952444651028352016511 relative error = 0.7558538298982573918637563938638 % h = 0.001 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.7MB, time=133.29 NO POLE NO POLE x[1] = 0.754 y2[1] (analytic) = 1.6845600545913450489228513130465 y2[1] (numeric) = 1.7537137637011468443084828465746 absolute error = 0.0691537091098017953856315335281 relative error = 4.1051495268049492112669203443973 % h = 0.001 y1[1] (analytic) = 1.7289564676013888597836686721214 y1[1] (numeric) = 1.7158138937250415143652674436164 absolute error = 0.013142573876347345418401228505 relative error = 0.76014486903653883945930063049449 % h = 0.001 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.7MB, time=133.50 NO POLE NO POLE x[1] = 0.755 y2[1] (analytic) = 1.6852886686574549269191733239135 y2[1] (numeric) = 1.7547130034683868342171731588825 absolute error = 0.069424334810931907297999834969 relative error = 4.1194328367636358634538118353951 % h = 0.001 y1[1] (analytic) = 1.7282715431826874239526774030409 y1[1] (numeric) = 1.715059680341372734289984572594 absolute error = 0.0132118628413146896626928304469 relative error = 0.76445526708056929616370929739811 % h = 0.001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.7MB, time=133.71 NO POLE NO POLE x[1] = 0.756 y2[1] (analytic) = 1.6860165974349532548477196239165 y2[1] (numeric) = 1.755712242227469153554971693034 absolute error = 0.0696956447925158987072520691175 relative error = 4.1337460674200015386840917297179 % h = 0.001 y1[1] (analytic) = 1.7275858904925034947275044287623 y1[1] (numeric) = 1.7143044677184407930845419863655 absolute error = 0.0132814227740627016429624423968 relative error = 0.7687850917951412649548393078267 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2471.9MB, alloc=4.7MB, time=133.92 x[1] = 0.757 y2[1] (analytic) = 1.686743840195911315870891720679 y2[1] (numeric) = 1.7567114799783940953734055338456 absolute error = 0.0699676397824827795025138131666 relative error = 4.1480892424279553488201446247127 % h = 0.001 y1[1] (analytic) = 1.7268995102164897051543566970552 y1[1] (numeric) = 1.7135482558572538482729741162906 absolute error = 0.0133512543592358568813825807646 relative error = 0.77313441113676038244204124681618 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.758 y2[1] (analytic) = 1.6874703962130864096341899840818 y2[1] (numeric) = 1.7577107167211619525949626676606 absolute error = 0.0702403205080755429607726835788 relative error = 4.1624623854560291386131536777254 % h = 0.001 y1[1] (analytic) = 1.7262124030410262740486693531968 y1[1] (numeric) = 1.7127910447588200570863283719652 absolute error = 0.0134213582822062169623409812316 relative error = 0.77750329325418688528059945701028 % h = 0.001 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.7MB, time=134.12 NO POLE NO POLE x[1] = 0.759 y2[1] (analytic) = 1.6881962647599225795088533972068 y2[1] (numeric) = 1.758709952455773018012921244157 absolute error = 0.0705136876958504385040678469502 relative error = 4.176865520187497245903343033778 % h = 0.001 y1[1] (analytic) = 1.725524569653220319614944122886 y1[1] (numeric) = 1.7120328344241475764627942656888 absolute error = 0.0134917352290727431521498571972 relative error = 0.78189180648897888829535923529949 % h = 0.001 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.7MB, time=134.33 NO POLE NO POLE x[1] = 0.76 y2[1] (analytic) = 1.6889214451105513391477556387697 y2[1] (numeric) = 1.7597091871822275842911788383279 absolute error = 0.0707877420716762451434231995582 relative error = 4.1912986703204960687619083100495 % h = 0.001 y1[1] (analytic) = 1.724836010740905172339688366667 y1[1] (numeric) = 1.7112736248542445630478327076706 absolute error = 0.0135623858866606092918556589964 relative error = 0.78630001937603748069885353798492 % h = 0.001 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.7MB, time=134.53 NO POLE NO POLE x[1] = 0.761 y2[1] (analytic) = 1.6896459365397923983538309412086 y2[1] (numeric) = 1.7607084209005259439640817126337 absolute error = 0.0710624843607335456102507714251 relative error = 4.2057618595681434408774981795242 % h = 0.001 y1[1] (analytic) = 1.7241467269926396871581419128634 y1[1] (numeric) = 1.7105134160501191731943054719727 absolute error = 0.0136333109425205139638364408907 relative error = 0.79072800064415364681500336308334 % h = 0.001 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.7MB, time=134.74 NO POLE NO POLE x[1] = 0.762 y2[1] (analytic) = 1.6903697383231543882603038560603 y2[1] (numeric) = 1.7617076536106683894362540793268 absolute error = 0.0713379152875140011759502232665 relative error = 4.2202551116586578164856784817448 % h = 0.001 y1[1] (analytic) = 1.7234567190977075548954795022417 y1[1] (numeric) = 1.7097522080127795629626048331917 absolute error = 0.01370451108492799193287466905 relative error = 0.79517581921655701774533931635558 % h = 0.001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.7MB, time=134.96 NO POLE NO POLE x[1] = 0.763 y2[1] (analytic) = 1.6910928497368355858219977464571 y2[1] (numeric) = 1.7627068853126552129824273629488 absolute error = 0.0716140355758196271604296164917 relative error = 4.2347784503354772661354021659647 % h = 0.001 y1[1] (analytic) = 1.7227659877461166129831774031417 y1[1] (numeric) = 1.7089900007432338881207833738776 absolute error = 0.0137759870028827248623940292641 relative error = 0.79964354421146646044067730724098 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2494.8MB, alloc=4.7MB, time=135.17 x[1] = 0.764 y2[1] (analytic) = 1.6918152700577246376169975154955 y2[1] (numeric) = 1.7637061160064867067472694629994 absolute error = 0.0718908459487620691302719475039 relative error = 4.2493318993573782845821236329316 % h = 0.001 y1[1] (analytic) = 1.722074533628598155451233480652 y1[1] (numeric) = 1.7082267942424903041446839626903 absolute error = 0.0138477393861078513065495179617 relative error = 0.80413124494264251066727940084083 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.765 y2[1] (analytic) = 1.6925369985634012829579427688738 y2[1] (numeric) = 1.7647053456921631627452140167781 absolute error = 0.0721683471287618797872712479043 relative error = 4.2639154824985944120928345767897 % h = 0.001 y1[1] (analytic) = 1.7213823574366062421969307275509 y1[1] (numeric) = 1.7074625885115569662180699032932 absolute error = 0.0139197689250492759788608242577 relative error = 0.80863899091994165638274211236707 % h = 0.001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.7MB, time=135.38 NO POLE NO POLE x[1] = 0.766 y2[1] (analytic) = 1.6932580345321370763122283005656 y2[1] (numeric) = 1.7657045743696848728602896623978 absolute error = 0.0724465398375477965480613618322 relative error = 4.2785292235489346704439601296975 % h = 0.001 y1[1] (analytic) = 1.7206894598623170075308349881932 y1[1] (numeric) = 1.7066973835514420292327552539837 absolute error = 0.0139920763108749782980797342095 relative error = 0.81316685184987247806317941541714 % h = 0.001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.7MB, time=135.58 NO POLE NO POLE x[1] = 0.767 y2[1] (analytic) = 1.6939783772428961090303894813906 y2[1] (numeric) = 1.766703802039052128845949301971 absolute error = 0.0727254247961560198155598205804 relative error = 4.2931731463139018148887388715228 % h = 0.001 y1[1] (analytic) = 1.7199958415986279680007183292872 y1[1] (numeric) = 1.7059311793631536477887353180612 absolute error = 0.014064662235474320211983011226 relative error = 0.81771489763615365254970699064547 % h = 0.001 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.7MB, time=135.79 NO POLE NO POLE x[1] = 0.768 y2[1] (analytic) = 1.6946980259753357303819508221551 y2[1] (numeric) = 1.767703028700265222324899364968 absolute error = 0.0730050027249294919429485428129 relative error = 4.3078472746148104033664179784793 % h = 0.001 y1[1] (analytic) = 1.7193015033391573294941002335805 y1[1] (numeric) = 1.705163975947699976194317304931 absolute error = 0.0141375273914573532997829286495 relative error = 0.82228319838027382700878831669589 % h = 0.001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.7MB, time=136.00 NO POLE NO POLE x[1] = 0.769 y2[1] (analytic) = 1.6954169800098072678980166755753 y2[1] (numeric) = 1.7687022543533244447889290717472 absolute error = 0.0732852743435171768909123961719 relative error = 4.3225516322889046842213253408513 % h = 0.001 y1[1] (analytic) = 1.7186064457782432936200995138551 y1[1] (numeric) = 1.7043957733060891684662511619455 absolute error = 0.0142106724721541251538483519096 relative error = 0.8268718243820533696276726520477 % h = 0.001 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.7MB, time=136.21 NO POLE NO POLE x[1] = 0.77 y2[1] (analytic) = 1.6961352386273567470198837344522 y2[1] (numeric) = 1.7697014789982300875987396972581 absolute error = 0.0735662403708733405788559628059 relative error = 4.3372862431894763036956337759709 % h = 0.001 y1[1] (analytic) = 1.7179106696109433633712905653243 y1[1] (numeric) = 1.7036265714393293783298605769815 absolute error = 0.0142840981716139850414299883428 relative error = 0.83148084614020800369294033039421 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2517.7MB, alloc=4.7MB, time=136.41 x[1] = 0.771 y2[1] (analytic) = 1.696852801109725610052955677546 y2[1] (numeric) = 1.7707007026349824419837738349165 absolute error = 0.0738479015252568319308181573705 relative error = 4.3520511311859818344554083925213 % h = 0.001 y1[1] (analytic) = 1.7172141755330336480662582945144 y1[1] (numeric) = 1.7028563703484287592191741517533 absolute error = 0.0143578051846048888470841427611 relative error = 0.836110334352914331727072649897 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.772 y2[1] (analytic) = 1.6975696667393514344252410092942 y2[1] (numeric) = 1.7716999252635817990420446606515 absolute error = 0.0741302585242303646168036513573 relative error = 4.3668463201641601264053266219516 % h = 0.001 y1[1] (analytic) = 1.7165169642410081675735467820204 y1[1] (numeric) = 1.7020851700343954642770567458627 absolute error = 0.0144317942066127032964900361577 relative error = 0.84076035991837725638498253997603 % h = 0.001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.7MB, time=136.62 NO POLE NO POLE x[1] = 0.773 y2[1] (analytic) = 1.6982858347993686502497158349369 y2[1] (numeric) = 1.7726991468840284497399651971253 absolute error = 0.0744133120846597994902493621884 relative error = 4.3816718340261494810432813178767 % h = 0.001 y1[1] (analytic) = 1.7158190364320781558176974551284 y1[1] (numeric) = 1.7013129704982376463553409915841 absolute error = 0.0145060659338405094623564635443 relative error = 0.84543099393539930483957870099011 % h = 0.001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.7MB, time=136.83 NO POLE NO POLE x[1] = 0.774 y2[1] (analytic) = 1.6990013045736092571898340087447 y2[1] (numeric) = 1.7736983674963226849121775781249 absolute error = 0.0746970629227134277223435693802 relative error = 4.3965276966906046506019205317147 % h = 0.001 y1[1] (analytic) = 1.7151203928041713635680732642085 y1[1] (numeric) = 1.7005397717409634580149589793856 absolute error = 0.0145806210632079055531142848229 relative error = 0.85012230770395186341269059874205 % h = 0.001 TOP MAIN SOLVE Loop memory used=2529.1MB, alloc=4.7MB, time=137.04 NO POLE NO POLE x[1] = 0.775 y2[1] (analytic) = 1.6997160753466035406274677899009 y2[1] (numeric) = 1.7746975871004647952613823131262 absolute error = 0.0749815117538612546339145232253 relative error = 4.411413932092813663220042999234 % h = 0.001 y1[1] (analytic) = 1.7144210340559313605111660739955 y1[1] (numeric) = 1.6997655737635810515260741141858 absolute error = 0.0146554602923503089850919598097 relative error = 0.8548343727257483292350551268817 % h = 0.001 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.7MB, time=137.24 NO POLE NO POLE x[1] = 0.776 y2[1] (analytic) = 1.7004301464035807871325628381541 y2[1] (numeric) = 1.7756968056964550713581675520306 absolute error = 0.0752666592928742842256047138765 relative error = 4.4263305641848144753826559165398 % h = 0.001 y1[1] (analytic) = 1.7137209608867168366070851973929 y1[1] (numeric) = 1.6989903765670985788682131423456 absolute error = 0.0147305843196182577388720550473 relative error = 0.85956726070481918574655849821388 % h = 0.001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.7MB, time=137.45 NO POLE NO POLE x[1] = 0.777 y2[1] (analytic) = 1.7011435170304699992337920796493 y2[1] (numeric) = 1.7766960232842938036408383500733 absolute error = 0.075552506253823804407046270424 relative error = 4.4412776169355114528644111424512 % h = 0.001 y1[1] (analytic) = 1.7130201739966009027309257152522 y1[1] (numeric) = 1.6982141801525241917303983493953 absolute error = 0.0148059938440767110005273658569 relative error = 0.86432104354808900887553956558423 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2540.6MB, alloc=4.7MB, time=137.66 x[1] = 0.778 y2[1] (analytic) = 1.7018561865139006094894936723398 y2[1] (numeric) = 1.7776952398639812824152459329043 absolute error = 0.0758390533500806729257522605645 relative error = 4.4562551143307916814070674377923 % h = 0.001 y1[1] (analytic) = 1.7123186740863703905997159407019 y1[1] (numeric) = 1.6974369845208660415112799284969 absolute error = 0.014881689565504349088436012205 relative error = 0.86909579336595541076369388334499 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.779 y2[1] (analytic) = 1.7025681541412031938581790001042 y2[1] (numeric) = 1.7786944554355177978546169618416 absolute error = 0.0761263012943146039964379617374 relative error = 4.4712630803736411083575796382986 % h = 0.001 y1[1] (analytic) = 1.71161646185752515198564410102 y1[1] (numeric) = 1.6966587896731322793192685196409 absolute error = 0.0149576721843928726663755813791 relative error = 0.87389158247286992793097198214093 % h = 0.001 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.7MB, time=137.86 NO POLE NO POLE x[1] = 0.78 y2[1] (analytic) = 1.7032794192004101843678973251179 y2[1] (numeric) = 1.7796936699989036399993827992966 absolute error = 0.0764142507984934556314854741787 relative error = 4.4863015390842605164893906584302 % h = 0.001 y1[1] (analytic) = 1.7109135380122773572162650237646 y1[1] (numeric) = 1.695879595610331055972667919578 absolute error = 0.0150339424019463012435971041866 relative error = 0.87870848338792086080284112739432 % h = 0.001 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.7MB, time=138.07 NO POLE NO POLE x[1] = 0.781 y2[1] (analytic) = 1.7039899809802565810837444291757 y2[1] (numeric) = 1.7806928835541390987570087743718 absolute error = 0.0767029025738825176732643451961 relative error = 4.5013705145001813312254988375799 % h = 0.001 y1[1] (analytic) = 1.710209903253550792962388326898 y1[1] (numeric) = 1.6950994023334705219998079624853 absolute error = 0.0151105009200802709625803644127 relative error = 0.88354656883541807155037785292213 % h = 0.001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.7MB, time=138.28 NO POLE NO POLE x[1] = 0.782 y2[1] (analytic) = 1.7046998387701806633728032765141 y2[1] (numeric) = 1.7816920961012244639018234486305 absolute error = 0.0769922573310438005290201721164 relative error = 4.516470030676381262477891270117 % h = 0.001 y1[1] (analytic) = 1.7095055582849801593143503249576 y1[1] (numeric) = 1.6943182098435588276391775713667 absolute error = 0.0151873484414213316751727535909 relative error = 0.88840591174547974722187939569366 % h = 0.001 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.7MB, time=138.49 NO POLE NO POLE x[1] = 0.783 y2[1] (analytic) = 1.705408991860324700465805433254 y2[1] (numeric) = 1.7826913076401600250748478820392 absolute error = 0.0772823157798353246090424487852 relative error = 4.5316001116853997823139733072178 % h = 0.001 y1[1] (analytic) = 1.7088005038109103661473725749424 y1[1] (numeric) = 1.6935360181416041228395579801873 absolute error = 0.0152644856693062433078145947551 relative error = 0.89328658525462113517302639942226 % h = 0.001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.7MB, time=138.70 NO POLE NO POLE x[1] = 0.784 y2[1] (analytic) = 1.70611743954153566131480268186 y2[1] (numeric) = 1.7836905181709460717836248990821 absolute error = 0.0775730786294104104688222172221 relative error = 4.5467607816174534396566852844881 % h = 0.001 y1[1] (analytic) = 1.7080947405363958287767106964985 y1[1] (numeric) = 1.6927528272286145572601561267423 absolute error = 0.0153419133077812715165545697562 relative error = 0.89818866270634525783109750012702 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2563.5MB, alloc=4.7MB, time=138.90 x[1] = 0.785 y2[1] (analytic) = 1.7068251811053659237461389730047 y2[1] (numeric) = 1.7846897276935828934020483550477 absolute error = 0.077864546588216969655909382043 relative error = 4.5619520645805510132210796171635 % h = 0.001 y1[1] (analytic) = 1.7073882691671997629032978111966 y1[1] (numeric) = 1.691968637105598280270738216259 absolute error = 0.0154196320616014826325595949376 relative error = 0.90311221765173561385732925564947 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.786 y2[1] (analytic) = 1.707532215844073982908013561925 y2[1] (numeric) = 1.7856889362080707791701924024877 absolute error = 0.0781567203639967962621788405627 relative error = 4.5771739847006085038862346179356 % h = 0.001 y1[1] (analytic) = 1.706681090409793478850587655198 y1[1] (numeric) = 1.691183447773563440951763455733 absolute error = 0.015497642636230037898824199465 relative error = 0.90805732385005087280023293571459 % h = 0.001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.7MB, time=139.11 NO POLE NO POLE x[1] = 0.787 y2[1] (analytic) = 1.7082385430506251590119268817658 y2[1] (numeric) = 1.7866881437144100181941407578483 absolute error = 0.0784496006637848591822138760825 relative error = 4.5924265661215639676975056348347 % h = 0.001 y1[1] (analytic) = 1.7059732049713556750933031284076 y1[1] (numeric) = 1.6903972592335181880945179589977 absolute error = 0.0155759457378374869987851694099 relative error = 0.91302405526932157036152355623483 % h = 0.001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.7MB, time=139.31 NO POLE NO POLE x[1] = 0.788 y2[1] (analytic) = 1.7089441620186923043673014125252 y2[1] (numeric) = 1.7876873502126008994458159682738 absolute error = 0.0787431881939085950785145557486 relative error = 4.6077098330054921906902592824404 % h = 0.001 y1[1] (analytic) = 1.7052646135597717310787967513083 y1[1] (numeric) = 1.6896100714864706702012488225267 absolute error = 0.0156545420733010608775479287816 relative error = 0.91801248608694881142528682961415 % h = 0.001 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.7MB, time=139.52 NO POLE NO POLE x[1] = 0.789 y2[1] (analytic) = 1.7096490720426565097085705110381 y2[1] (numeric) = 1.7886865557026437117628086785822 absolute error = 0.0790374836599872020542381675441 relative error = 4.6230238095327192067224025542665 % h = 0.001 y1[1] (analytic) = 1.7045553168836329993417302080539 y1[1] (numeric) = 1.6888218845334290354852983719699 absolute error = 0.015733432350203963856431836084 relative error = 0.92302269069030498803010702380411 % h = 0.001 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.7MB, time=139.73 NO POLE NO POLE x[1] = 0.79 y2[1] (analytic) = 1.7103532724176078098140288749692 y2[1] (numeric) = 1.7896857601845387438482068984133 absolute error = 0.0793324877669309340341780234441 relative error = 4.6383685199019366594992053625465 % h = 0.001 y1[1] (analytic) = 1.703845315652236096912780861085 y1[1] (numeric) = 1.6880326983754014318712385794222 absolute error = 0.0158126172768346650415422816628 relative error = 0.92805474367733651949310369354731 % h = 0.001 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.7MB, time=139.94 NO POLE NO POLE x[1] = 0.791 y2[1] (analytic) = 1.711056762439345888415739022023 y2[1] (numeric) = 1.790684963658286284270425269549 absolute error = 0.079628201218940395854686247526 relative error = 4.6537439883303160099701224601602 % h = 0.001 y1[1] (analytic) = 1.7031346105755821960220838285014 y1[1] (numeric) = 1.687242513013396006995005651425 absolute error = 0.0158920975621861890270781770764 relative error = 0.93310871985716862192417848460498 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2586.4MB, alloc=4.7MB, time=140.14 x[1] = 0.792 y2[1] (analytic) = 1.7117595414043807823997888745235 y2[1] (numeric) = 1.7916841661238866214630343334057 absolute error = 0.0799246247195058390632454588822 relative error = 4.6691502390536225902735486643798 % h = 0.001 y1[1] (analytic) = 1.7024232023643763140981189206891 y1[1] (numeric) = 1.6864513284484209082040347877004 absolute error = 0.0159718739159554058940841329887 relative error = 0.93818469425071211439825533882938 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.793 y2[1] (analytic) = 1.7124616086099335852961962491652 y2[1] (numeric) = 1.7926833675813400437245897986993 absolute error = 0.0802217589714064584283935495341 relative error = 4.6845872963263295054016897307459 % h = 0.001 y1[1] (analytic) = 1.7017110917300266030627524372568 y1[1] (numeric) = 1.6856591446814842825573951106177 absolute error = 0.0160519470485423205053573266391 relative error = 0.94328274209127226908290906959529 % h = 0.001 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.7MB, time=140.35 NO POLE NO POLE x[1] = 0.794 y2[1] (analytic) = 1.7131629633539371500577567620875 y2[1] (numeric) = 1.793682568030646839218461809282 absolute error = 0.0805196046767096891607050471945 relative error = 4.7000551844217313837540000252351 % h = 0.001 y1[1] (analytic) = 1.7009982793846436379231445291801 y1[1] (numeric) = 1.6848659617135942768259247653921 absolute error = 0.016132317671049361097219763788 relative error = 0.94840293882515971264851906142712 % h = 0.001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.7MB, time=140.56 NO POLE NO POLE x[1] = 0.795 y2[1] (analytic) = 1.713863604935036791127132370486 y2[1] (numeric) = 1.7946817674718072959726642121518 absolute error = 0.0808181625367705048455318416658 relative error = 4.7155539276320579777439272217429 % h = 0.001 y1[1] (analytic) = 1.7002847660410397046612335341874 y1[1] (numeric) = 1.6840717795457590374923661910157 absolute error = 0.0162129864952806671688673431717 relative error = 0.95354536011230338631795740676668 % h = 0.001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.7MB, time=140.77 NO POLE NO POLE x[1] = 0.796 y2[1] (analytic) = 1.7145635326525909857914784837286 y2[1] (numeric) = 1.7956809659048217018796838256341 absolute error = 0.0811174332522307160882053419055 relative error = 4.7310835502685876156200135190755 % h = 0.001 y1[1] (analytic) = 1.6995705524127280874215093958435 y1[1] (numeric) = 1.6832765981789867107515015619204 absolute error = 0.0162939542337413766700078339231 relative error = 0.95871008182686557194282476142595 % h = 0.001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.7MB, time=140.98 NO POLE NO POLE x[1] = 0.797 y2[1] (analytic) = 1.7152627458066720748239082894086 y2[1] (numeric) = 1.7966801633296903446963097077354 absolute error = 0.0814174175230182698724014183268 relative error = 4.7466440766617605056587322354833 % h = 0.001 y1[1] (analytic) = 1.6988556392139223549977889784976 y1[1] (numeric) = 1.682480417614285442510288400372 absolute error = 0.0163752215996369124875005781256 relative error = 0.96389718005785899152338321680469 % h = 0.001 TOP MAIN SOLVE Loop memory used=2605.4MB, alloc=4.7MB, time=141.19 NO POLE NO POLE x[1] = 0.798 y2[1] (analytic) = 1.7159612436980669624110936529281 y2[1] (numeric) = 1.7976793597464135120434624246695 absolute error = 0.0817181160483465496323687717414 relative error = 4.76223553116129189388278800955 % h = 0.001 y1[1] (analytic) = 1.6981400271595356466197067912625 y1[1] (numeric) = 1.6816832378526633783879953595967 absolute error = 0.0164567893068722682317114316658 relative error = 0.96910673110976598761960419304653 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2609.3MB, alloc=4.7MB, time=141.39 x[1] = 0.799 y2[1] (analytic) = 1.7166590256282778153663026630705 y2[1] (numeric) = 1.7986785551549914914060233195559 absolute error = 0.0820195295267136760397206564854 relative error = 4.7778579381362850764549781235536 % h = 0.001 y1[1] (analytic) = 1.6974237169651799570396353344726 y1[1] (numeric) = 1.6808850588951286637163381776384 absolute error = 0.0165386580700512933232971568342 relative error = 0.97433881150315979213115139791246 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.8 y2[1] (analytic) = 1.7173560908995227616271746105814 y2[1] (numeric) = 1.7996777495554245701326637812902 absolute error = 0.0823216586559018085054891707088 relative error = 4.7935113219753442678941015805411 % h = 0.001 y1[1] (analytic) = 1.6967067093471654209207499816423 y1[1] (numeric) = 1.6800858807426894435396158019472 absolute error = 0.0166208286044759773811341796951 relative error = 0.97959349797532789095465491987473 % h = 0.001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.7MB, time=141.60 NO POLE NO POLE x[1] = 0.801 y2[1] (analytic) = 1.718052438814736588037533902042 y2[1] (numeric) = 1.8006769429477130354356745135872 absolute error = 0.0826245041329764473981406115452 relative error = 4.809195707086687326255811419845 % h = 0.001 y1[1] (analytic) = 1.6959890050224995965269540088002 y1[1] (numeric) = 1.6792857033963538626148466846994 absolute error = 0.0167033016261457339121073241008 relative error = 0.98487086748089749205730318223479 % h = 0.001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.7MB, time=141.82 NO POLE NO POLE x[1] = 0.802 y2[1] (analytic) = 1.7187480686775714374125451272789 y2[1] (numeric) = 1.8016761353318571743907948041959 absolute error = 0.082928066654285736978249676917 relative error = 4.8249111178982583364177342596166 % h = 0.001 y1[1] (analytic) = 1.6952706047088867487153800812132 y1[1] (numeric) = 1.6784845268571300654119052488479 absolute error = 0.0167860778517566833034748323653 relative error = 0.99017099719246310453658543344775 % h = 0.001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.7MB, time=142.03 NO POLE NO POLE x[1] = 0.803 y2[1] (analytic) = 1.7194429797923975048865122152131 y2[1] (numeric) = 1.8026753267078572739370417942871 absolute error = 0.083232346915459769050529579074 relative error = 4.8406575788578400526046291213263 % h = 0.001 y1[1] (analytic) = 1.6945515091247271312321852049411 y1[1] (numeric) = 1.6776823511260261961136585249035 absolute error = 0.0168691579987009351185266800376 relative error = 0.9954939645012162362669593458988 % h = 0.001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.7MB, time=142.24 NO POLE NO POLE x[1] = 0.804 y2[1] (analytic) = 1.7201371714643037335426253304078 y2[1] (numeric) = 1.8036745170757136208765397480128 absolute error = 0.083537345611409887333914417605 relative error = 4.8564351144331662012858251324075 % h = 0.001 y1[1] (analytic) = 1.6938317189891162683123568473649 y1[1] (numeric) = 1.6768791762040503986161029584469 absolute error = 0.016952542785065869696253888918 relative error = 1.0008398470175772177652968028968 % h = 0.001 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.7MB, time=142.45 NO POLE NO POLE x[1] = 0.805 y2[1] (analytic) = 1.7208306429990985093239598806256 y2[1] (numeric) = 1.8046737064354265018743493222383 absolute error = 0.0838430634363279925503894416127 relative error = 4.8722437491120336455736646329885 % h = 0.001 y1[1] (analytic) = 1.6931112350218442355842486268248 y1[1] (numeric) = 1.6760750020922108165285013883707 absolute error = 0.0170362329296334190557472384541 relative error = 1.0062087225718291599381767379263 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2632.1MB, alloc=4.7MB, time=142.66 x[1] = 0.806 y2[1] (analytic) = 1.7215233937033103552250327244533 y2[1] (numeric) = 1.8056728947869962034582968364462 absolute error = 0.0841495010836858482332641119929 relative error = 4.8880835074024144122481844440023 % h = 0.001 y1[1] (analytic) = 1.6923900579433949402795646667706 y1[1] (numeric) = 1.6752698287915155931735201958517 absolute error = 0.0171202291518793471060444709189 relative error = 1.0116006692147540534054476193185 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.807 y2[1] (analytic) = 1.7222154228841886247632213874979 y2[1] (numeric) = 1.8066720821304230120188035428131 absolute error = 0.0844566592462343872555821553152 relative error = 4.9039544138325675825297935012826 % h = 0.001 y1[1] (analytic) = 1.6916681884749454007495124043812 y1[1] (numeric) = 1.6744636563029728715873666240533 absolute error = 0.0172045321719725291621457803279 relative error = 1.0170157652182710171259745210568 % h = 0.001 TOP MAIN SOLVE Loop memory used=2636.0MB, alloc=4.7MB, time=142.86 NO POLE NO POLE x[1] = 0.808 y2[1] (analytic) = 1.7229067298497041947293528157898 y2[1] (numeric) = 1.8076712684657072138087148964581 absolute error = 0.0847645386160030190793620806683 relative error = 4.9198564929511510477182496383649 % h = 0.001 y1[1] (analytic) = 1.6909456273383650252878443374403 y1[1] (numeric) = 1.6736564846275907945199262685579 absolute error = 0.0172891427107742307679180688824 relative error = 1.022454089076076704083117361838 % h = 0.001 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.7MB, time=143.07 NO POLE NO POLE x[1] = 0.809 y2[1] (analytic) = 1.7235973139085501572167689158648 y2[1] (numeric) = 1.8086704537928490949431298258638 absolute error = 0.085073139884298937726360909999 relative error = 4.9357897693273331308128019240391 % h = 0.001 y1[1] (analytic) = 1.6902223752562148902615098863654 y1[1] (numeric) = 1.6728483137663775044349007385284 absolute error = 0.017374061489837385826609147837 relative error = 1.0279157195042878718192585097524 % h = 0.001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.7MB, time=143.28 NO POLE NO POLE x[1] = 0.81 y2[1] (analytic) = 1.7242871743701425109281768525145 y2[1] (numeric) = 1.8096696381118489413992300034696 absolute error = 0.0853824637417064304710531509551 relative error = 4.9517542675509040752249475456902 % h = 0.001 y1[1] (analytic) = 1.6894984329517470175496392406801 y1[1] (numeric) = 1.6720391437203411435099454885999 absolute error = 0.0174592892314058740396937520802 relative error = 1.033400735442086125640610222323 % h = 0.001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.7MB, time=143.48 NO POLE NO POLE x[1] = 0.811 y2[1] (analytic) = 1.7249763105446208517595927974149 y2[1] (numeric) = 1.810668821422707039016109116437 absolute error = 0.0856925108780861872565163190221 relative error = 4.9677500122323874016918536910744 % h = 0.001 y1[1] (analytic) = 1.688773801148903651291581750883 y1[1] (numeric) = 1.6712289744904898536368078215001 absolute error = 0.0175448266584137976547739293829 relative error = 1.0389092160523648423455860077354 % h = 0.001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.7MB, time=143.69 NO POLE NO POLE x[1] = 0.812 y2[1] (analytic) = 1.7256647217428490626606885447446 y2[1] (numeric) = 1.8116680037254236734946021375874 absolute error = 0.0860032819825746108339135928428 relative error = 4.9837770280031511344951151371502 % h = 0.001 y1[1] (analytic) = 1.6880484805723165339447221176171 y1[1] (numeric) = 1.6704178060778317764214650613993 absolute error = 0.0176306744944847575232570562178 relative error = 1.0444412407223782823622156438553 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.813 y2[1] (analytic) = 1.7263524072764160027708511335054 y2[1] (numeric) = 1.8126671850199991303971145965123 absolute error = 0.0863147777435831276262634630069 relative error = 4.9998353395155188980861572205748 % h = 0.001 y1[1] (analytic) = 1.6873224719473061816527983202618 y1[1] (numeric) = 1.6696056384833750531842628979891 absolute error = 0.0177168334639311284685354222727 relative error = 1.0499968890643928982124219705953 % h = 0.001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.7MB, time=143.89 NO POLE NO POLE x[1] = 0.814 y2[1] (analytic) = 1.7270393664576361958302663405423 y2[1] (numeric) = 1.8136663653064336951474518508552 absolute error = 0.0866269988487974993171855103129 relative error = 5.0159249714428808852162514590109 % h = 0.001 y1[1] (analytic) = 1.6865957759998811589254459165686 y1[1] (numeric) = 1.6687924717081278249600539012902 absolute error = 0.0178033042917533339653920152784 relative error = 1.0555762409163408472534593765259 % h = 0.001 TOP MAIN SOLVE Loop memory used=2658.9MB, alloc=4.7MB, time=144.10 NO POLE NO POLE x[1] = 0.815 y2[1] (analytic) = 1.7277255985995505178653376332361 y2[1] (numeric) = 1.8146655445847276530306483577665 absolute error = 0.0869399459851771351653107245304 relative error = 5.0320459484798046976657872328998 % h = 0.001 y1[1] (analytic) = 1.6858683934567373526296940337378 y1[1] (numeric) = 1.6679783057530982324983362071883 absolute error = 0.0178900877036391201313578265495 relative error = 1.0611793763424757166794398339379 % h = 0.001 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.7MB, time=144.31 NO POLE NO POLE x[1] = 0.816 y2[1] (analytic) = 1.7284111030159268841477528965088 y2[1] (numeric) = 1.81566472285488128919279694553 absolute error = 0.0872536198389544050450440490212 relative error = 5.0481982953421460606641375418271 % h = 0.001 y1[1] (analytic) = 1.685140325045257245294139059378 y1[1] (numeric) = 1.667163140619294416263392373699 absolute error = 0.017977184425962829030746685679 relative error = 1.0668063756340304687986431021812 % h = 0.001 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.7MB, time=144.52 NO POLE NO POLE x[1] = 0.817 y2[1] (analytic) = 1.72909587902126093542651197513 y2[1] (numeric) = 1.816663900116894888640878085362 absolute error = 0.087568021095633953214366110232 relative error = 5.0643820367671594120881698379726 % h = 0.001 y1[1] (analytic) = 1.684411571493509187726522728114 y1[1] (numeric) = 1.6663469763077245164344284079609 absolute error = 0.0180645951857846712920943201531 relative error = 1.0724573193098776146352240269852 % h = 0.001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.7MB, time=144.73 NO POLE NO POLE x[1] = 0.818 y2[1] (analytic) = 1.7297799259307767234322287993561 y2[1] (numeric) = 1.8176630763707687362425891633826 absolute error = 0.0878831504399920128103603640265 relative error = 5.080597197513608367524184229232 % h = 0.001 y1[1] (analytic) = 1.683682133530246670945441986206 y1[1] (numeric) = 1.6655298128193966729057129639564 absolute error = 0.0181523207108499980397290222496 relative error = 1.0781322881171916239369924256036 % h = 0.001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.7MB, time=144.93 NO POLE NO POLE x[1] = 0.819 y2[1] (analytic) = 1.7304632430604273956530225896556 y2[1] (numeric) = 1.8186622516165031167261737527593 absolute error = 0.0881990085560757210731511631037 relative error = 5.0968438023618760622748108575256 % h = 0.001 y1[1] (analytic) = 1.6829520118849075974269187024083 y1[1] (numeric) = 1.6647116501553190252867167109609 absolute error = 0.0182403617295885721402019914474 relative error = 1.0838313630321135797041505801783 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.82 y2[1] (analytic) = 1.7311458297268958793813133646877 y2[1] (numeric) = 1.8196614258540983146802508860227 absolute error = 0.088515596127202435298937521335 relative error = 5.113121876114075371389165912667 % h = 0.001 y1[1] (analytic) = 1.6822212072876135516665579784369 y1[1] (numeric) = 1.6638924883164997129022518727197 absolute error = 0.0183287189711138387643061057172 relative error = 1.0895546252604180853872305855594 % h = 0.001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.7MB, time=145.14 NO POLE NO POLE x[1] = 0.821 y2[1] (analytic) = 1.7318276852475955650308377057945 y2[1] (numeric) = 1.8206605990835546145536443275547 absolute error = 0.0888329138359590495228066217602 relative error = 5.1294314435941590087913514604589 % h = 0.001 y1[1] (analytic) = 1.6814897204691690700580244968283 y1[1] (numeric) = 1.6630723273039468747926119373523 absolute error = 0.018417393165222195265412559476 relative error = 1.0953021562381824329359794364716 % h = 0.001 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.7MB, time=145.34 NO POLE NO POLE x[1] = 0.822 y2[1] (analytic) = 1.7325088089406709887232014610491 y2[1] (numeric) = 1.8216597713048723006552118462488 absolute error = 0.0891509623642013119320103851997 relative error = 5.1457725296480295065791879657187 % h = 0.001 y1[1] (analytic) = 1.6807575521610609100885670276502 y1[1] (numeric) = 1.6622511671186686497137115379841 absolute error = 0.0185063850423922603748554896661 relative error = 1.1010740376324580399145945199529 % h = 0.001 TOP MAIN SOLVE Loop memory used=2685.6MB, alloc=4.7MB, time=145.55 NO POLE NO POLE x[1] = 0.823 y2[1] (analytic) = 1.7331892001249985141432868023628 y2[1] (numeric) = 1.8226589425180516571536744883426 absolute error = 0.0894697423930531430103876859798 relative error = 5.1621451591436490755618899989747 % h = 0.001 y1[1] (analytic) = 1.6800247030954573188523218984808 y1[1] (numeric) = 1.6614290077616731761372265041058 absolute error = 0.018595695333784142715095394375 relative error = 1.1068703513419441639325168348298 % h = 0.001 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.7MB, time=145.76 NO POLE NO POLE x[1] = 0.824 y2[1] (analytic) = 1.7338688581201870136628317803018 y2[1] (numeric) = 1.8236581127230929680774458504228 absolute error = 0.089789254602905954414614070121 relative error = 5.178549356971149348102235050993 % h = 0.001 y1[1] (analytic) = 1.6792911740052073008821269142913 y1[1] (numeric) = 1.6606058492339685922507340836593 absolute error = 0.018685324771238708631392830632 relative error = 1.1126911794976639026739445253764 % h = 0.001 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.7MB, time=145.97 NO POLE NO POLE x[1] = 0.825 y2[1] (analytic) = 1.7345477822465785487315012530908 y2[1] (numeric) = 1.824657281919996517314461352602 absolute error = 0.0901094996734179685829600995112 relative error = 5.1949851480429410043256325648123 % h = 0.001 y1[1] (analytic) = 1.6785569656238398853005778953559 y1[1] (numeric) = 1.6597816915365630359578533358509 absolute error = 0.018775274087276849342724559505 relative error = 1.1185366044636424878433359309641 % h = 0.001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.7MB, time=146.17 NO POLE NO POLE x[1] = 0.826 y2[1] (analytic) = 1.7352259718252490495347687987877 y2[1] (numeric) = 1.8256564501087625886120075118686 absolute error = 0.0904304782835135390772387130809 relative error = 5.2114525572938232827553751536254 % h = 0.001 y1[1] (analytic) = 1.6778220786855633922910606820732 y1[1] (numeric) = 1.6589565346704646448783856946911 absolute error = 0.0188655440150987474126749873821 relative error = 1.1244067088375878813784300611356 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.827 y2[1] (analytic) = 1.735903426178008993917929952807 y2[1] (numeric) = 1.8266556172893914655765512156078 absolute error = 0.0907521911113824716586212628008 relative error = 5.2279516096810933764302464269984 % h = 0.001 y1[1] (analytic) = 1.6770865139252646988894921356054 y1[1] (numeric) = 1.6581303786366815563484557032609 absolute error = 0.0189561352885831425410364323445 relative error = 1.1303015754515736823167239527076 % h = 0.001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.7MB, time=146.38 NO POLE NO POLE x[1] = 0.828 y2[1] (analytic) = 1.7365801446274040855755678468317 y2[1] (numeric) = 1.827654783461883431673568995296 absolute error = 0.0910746388344793460980011484643 relative error = 5.2444823301846557155575698230714 % h = 0.001 y1[1] (analytic) = 1.6763502720785085040975043425319 y1[1] (numeric) = 1.6573032234362219074206519187047 absolute error = 0.0190470486422865966768524238272 relative error = 1.1362212873727243527359115039332 % h = 0.001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.7MB, time=146.60 NO POLE NO POLE x[1] = 0.829 y2[1] (analytic) = 1.7372561264967159315057930597084 y2[1] (numeric) = 1.8286539486262387702273763003667 absolute error = 0.0913978221295228387215832406583 relative error = 5.2610447438071311377517102622492 % h = 0.001 y1[1] (analytic) = 1.6756133538815365933178069102739 y1[1] (numeric) = 1.6564750690700938348641679879493 absolute error = 0.0191382848114427584536389223246 relative error = 1.1421659279039027712235078658657 % h = 0.001 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.7MB, time=146.81 NO POLE NO POLE x[1] = 0.83 y2[1] (analytic) = 1.7379313711099627187285802261381 y2[1] (numeric) = 1.8296531127824577644209567722488 absolute error = 0.0917217416724950456923765461107 relative error = 5.2776388755739659469049852257187 % h = 0.001 y1[1] (analytic) = 1.6748757600712671021124629178644 y1[1] (numeric) = 1.6556459155393054751649438941486 absolute error = 0.0192298445319616269475190237158 relative error = 1.1481355805844001223657580613347 % h = 0.001 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.7MB, time=147.02 NO POLE NO POLE x[1] = 0.831 y2[1] (analytic) = 1.7386058777918998902675246848866 y2[1] (numeric) = 1.8306522759305406972957915185776 absolute error = 0.092046398138640807028266833691 relative error = 5.294264750533540861734903942401 % h = 0.001 y1[1] (analytic) = 1.6741374913852937792848147637283 y1[1] (numeric) = 1.6548157628448649645258073738551 absolute error = 0.0193217285404288147590073898732 relative error = 1.1541303291906281307809589615167 % h = 0.001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.7MB, time=147.23 NO POLE NO POLE x[1] = 0.832 y2[1] (analytic) = 1.7392796458680208203943431848106 y2[1] (numeric) = 1.8316514380704878517516883875773 absolute error = 0.0923717922024670313573452027667 relative error = 5.3109223937572798550486326682016 % h = 0.001 y1[1] (analytic) = 1.6733985485618852492857968284831 y1[1] (numeric) = 1.6539846109877804388666155049159 absolute error = 0.0194139375741048104191813235672 relative error = 1.1601502577368136482575108456932 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2719.9MB, alloc=4.7MB, time=147.43 x[1] = 0.833 y2[1] (analytic) = 1.739952674664557489135443404258 y2[1] (numeric) = 1.8326505992022995105466112426165 absolute error = 0.0926979245377420214111678383585 relative error = 5.3276118303397588847625804859451 % h = 0.001 y1[1] (analytic) = 1.6726589323399842739453725463881 y1[1] (numeric) = 1.6531524599690600338243964650954 absolute error = 0.0195064723709242401209760812927 relative error = 1.1661954504756956025923592730684 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.834 y2[1] (analytic) = 1.7406249635084811560398877773265 y2[1] (numeric) = 1.8336497593259759562965092369355 absolute error = 0.093024795817494800256621459609 relative error = 5.3443330853988145177120135705162 % h = 0.001 y1[1] (analytic) = 1.6719186434592070135298341539424 y1[1] (numeric) = 1.6523193097897118847534914614223 absolute error = 0.0195993336694951287763426925201 relative error = 1.1722659918992243167609906820567 % h = 0.001 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.7MB, time=147.64 NO POLE NO POLE x[1] = 0.835 y2[1] (analytic) = 1.741296511727503033208077859075 y2[1] (numeric) = 1.834648918441517471475146088546 absolute error = 0.093352406714014438267068229471 relative error = 5.361086184075652447282636377343 % h = 0.001 y1[1] (analytic) = 1.6711776826598422871257040582708 y1[1] (numeric) = 1.6514851604507441267256968302628 absolute error = 0.019692522209098160400007228008 relative error = 1.178361966739263207085806781502 % h = 0.001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.7MB, time=147.85 NO POLE NO POLE x[1] = 0.836 y2[1] (analytic) = 1.7419673186500749575804862010582 y2[1] (numeric) = 1.8356480765489243384139293553031 absolute error = 0.0936807578988493808334431542449 relative error = 5.3778711515349559058931256513015 % h = 0.001 y1[1] (analytic) = 1.6704360506828508323509774413339 y1[1] (numeric) = 1.6506500119531648945304063081178 absolute error = 0.0197860387296859378205711332161 relative error = 1.1844834599682928691055241942603 % h = 0.001 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.7MB, time=148.06 NO POLE NO POLE x[1] = 0.837 y2[1] (analytic) = 1.7426373836053900624857634485088 y2[1] (numeric) = 1.8366472336481968393017397101494 absolute error = 0.0940098500428067768159762616406 relative error = 5.3946880129649939733546674442564 % h = 0.001 y1[1] (analytic) = 1.6696937482698645643944463886591 y1[1] (numeric) = 1.6498138642979823226747534731458 absolute error = 0.0198798839718822417196929155133 relative error = 1.1906305568001175598842277437372 % h = 0.001 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.7MB, time=148.27 NO POLE NO POLE x[1] = 0.838 y2[1] (analytic) = 1.743306705923383448447549111117 y2[1] (numeric) = 1.8376463897393352561847602165317 absolute error = 0.0943396838159518077372111054147 relative error = 5.4115367935777297821306284010944 % h = 0.001 y1[1] (analytic) = 1.6689507761631858343838465032063 y1[1] (numeric) = 1.6489767174862045453837543574101 absolute error = 0.0199740586769812890000921457962 relative error = 1.1968033426905740855348490310512 % h = 0.001 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.7MB, time=148.47 NO POLE NO POLE x[1] = 0.839 y2[1] (analytic) = 1.7439752849347328532493152006504 y2[1] (numeric) = 1.8386455448223398709663056039895 absolute error = 0.0946702598876070177169904033391 relative error = 5.4284175186089286205165903545655 % h = 0.001 y1[1] (analytic) = 1.6682071351057866870835676361593 y1[1] (numeric) = 1.6481385715188396966004502298503 absolute error = 0.020068563586946990483117406309 relative error = 1.2030019033382431027681473303976 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2742.8MB, alloc=4.7MB, time=148.68 x[1] = 0.84 y2[1] (analytic) = 1.7446431199708593212565726706296 y2[1] (numeric) = 1.8396446988972109654066515439159 absolute error = 0.0950015789263516441500788732863 relative error = 5.4453302133182659347580916868433 % h = 0.001 y1[1] (analytic) = 1.6674628258413081179226710368709 y1[1] (numeric) = 1.6472994263968959099860505499786 absolute error = 0.0201633994444122079366204868923 relative error = 1.2092263246851628433147381338913 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.841 y2[1] (analytic) = 1.7453102103639278719957713359055 y2[1] (numeric) = 1.8406438519639488211228639254913 absolute error = 0.0953336416000209491270925895858 relative error = 5.4622749029894352311205499005206 % h = 0.001 y1[1] (analytic) = 1.6667178491140593293539558938825 y1[1] (numeric) = 1.6464592821213813189200760922997 absolute error = 0.0202585669926780104338798015828 relative error = 1.215476692917545270104346709441 % h = 0.001 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.7MB, time=148.89 NO POLE NO POLE x[1] = 0.842 y2[1] (analytic) = 1.7459765554468481679892246932965 y2[1] (numeric) = 1.8416430040225537195886281317883 absolute error = 0.0956664485757055515994034384918 relative error = 5.4792516129302558789229873218699 % h = 0.001 y1[1] (analytic) = 1.6659722056690169865448189078902 y1[1] (numeric) = 1.6456181386933040565005022414552 absolute error = 0.020354066975712930044316666435 relative error = 1.2217530944664946741232606050557 % h = 0.001 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.7MB, time=149.09 NO POLE NO POLE x[1] = 0.843 y2[1] (analytic) = 1.7466421545532751818453918084153 y2[1] (numeric) = 1.84264215507302594213407831605 absolute error = 0.0960000005197507602886865076347 relative error = 5.496260368472780815544345766289 % h = 0.001 y1[1] (analytic) = 1.665225896251824472400651205734 y1[1] (numeric) = 1.6447759961136722555439024580916 absolute error = 0.0204499001381522168567487476424 relative error = 1.2280556160087287209079169541355 % h = 0.001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.7MB, time=149.30 NO POLE NO POLE x[1] = 0.844 y2[1] (analytic) = 1.7473070070176098626038491784596 y2[1] (numeric) = 1.8436413051153657699456266781397 absolute error = 0.0963342980977559073417774996801 relative error = 5.5133011949734041544083562585952 % h = 0.001 y1[1] (analytic) = 1.6644789216087911419215175719538 y1[1] (numeric) = 1.6439328543834940485855919154518 absolute error = 0.020546067225297093335925656502 relative error = 1.2343843444673019556696885267705 % h = 0.001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.7MB, time=149.51 NO POLE NO POLE x[1] = 0.845 y2[1] (analytic) = 1.7479711121749998013342862260498 y2[1] (numeric) = 1.8446404541495734840657927411632 absolute error = 0.0966693419745736827315065151134 relative error = 5.5303741178129686969501264513274 % h = 0.001 y1[1] (analytic) = 1.6637312824868915758928636411686 y1[1] (numeric) = 1.6430887135037775678797713066902 absolute error = 0.0206425689831140080130923344784 relative error = 1.2407393670123317760832275533234 % h = 0.001 TOP MAIN SOLVE Loop memory used=2761.9MB, alloc=4.7MB, time=149.72 NO POLE NO POLE x[1] = 0.846 y2[1] (analytic) = 1.7486344693613398959888588251738 y2[1] (numeric) = 1.8456396021756493653930326282634 absolute error = 0.0970051328143094694041738030896 relative error = 5.5474791623968733495648211526225 % h = 0.001 y1[1] (analytic) = 1.6629829796337648339109973605104 y1[1] (numeric) = 1.6422435734755309453996708229112 absolute error = 0.0207394061582338885113265375992 relative error = 1.2471207710617268818081892462378 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2765.7MB, alloc=4.7MB, time=149.93 x[1] = 0.847 y2[1] (analytic) = 1.7492970779132730155072360069414 y2[1] (numeric) = 1.8466387491935936946815683395872 absolute error = 0.0973416712803206791743323326458 relative error = 5.5646163541551804465360402935496 % h = 0.001 y1[1] (analytic) = 1.6622340137977137067440916965694 y1[1] (numeric) = 1.6413974342997623128376943019304 absolute error = 0.020836579497951393906397394639 relative error = 1.2535286442819182098517884944207 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.848 y2[1] (analytic) = 1.7499589371681906631736757401562 y2[1] (numeric) = 1.8476378952034067525412170294243 absolute error = 0.0976789580352160893675412892681 relative error = 5.5817857185427229799387436648907 % h = 0.001 y1[1] (analytic) = 1.6614843857277039680294562257845 y1[1] (numeric) = 1.6405502959774798016055635477594 absolute error = 0.0209340897502241664238926780251 relative error = 1.2599630745885923649174442372023 % h = 0.001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.7MB, time=150.13 NO POLE NO POLE x[1] = 0.849 y2[1] (analytic) = 1.7506200464642336392254664296844 y2[1] (numeric) = 1.8486370402050888194372202835187 absolute error = 0.0980169937408551802117538538343 relative error = 5.5989872810392117375088327674334 % h = 0.001 y1[1] (analytic) = 1.6607340961733636253078259109465 y1[1] (numeric) = 1.6397021585096915428344628208127 absolute error = 0.0210319376636720824733630901338 relative error = 1.2664241501474275539227373823626 % h = 0.001 TOP MAIN SOLVE Loop memory used=2773.3MB, alloc=4.7MB, time=150.34 NO POLE NO POLE x[1] = 0.85 y2[1] (analytic) = 1.7512804051402927027120715242355 y2[1] (numeric) = 1.8496361841986401756900733965522 absolute error = 0.0983557790583474729780018723167 relative error = 5.6162210671493423494687770803965 % h = 0.001 y1[1] (analytic) = 1.6599831458849821703954160294615 y1[1] (numeric) = 1.6388530218974056673751834988379 absolute error = 0.0211301239875765030202325306236 relative error = 1.2729119593748320339080506584159 % h = 0.001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.7MB, time=150.54 NO POLE NO POLE x[1] = 0.851 y2[1] (analytic) = 1.7519400125360092326043153744632 y2[1] (numeric) = 1.8506353271840611014753546498002 absolute error = 0.098695314648051868871039275337 relative error = 5.6334871024029022452959648933491 % h = 0.001 y1[1] (analytic) = 1.6592315356135098290944928812576 y1[1] (numeric) = 1.6380028861416303057982689085675 absolute error = 0.0212286494718795232962239726901 relative error = 1.2794265909386850825955733354396 % h = 0.001 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.7MB, time=150.75 NO POLE NO POLE x[1] = 0.852 y2[1] (analytic) = 1.7525988679917758881529492322585 y2[1] (numeric) = 1.8516344691613518768235545889598 absolute error = 0.0990356011695759886706053567013 relative error = 5.6507854123548775214177675003127 % h = 0.001 y1[1] (analytic) = 1.6584792661105568102432105657027 y1[1] (numeric) = 1.6371517512433735883941593280937 absolute error = 0.021327514867183221849051237609 relative error = 1.2859681337590805008968411637052 % h = 0.001 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.7MB, time=150.96 NO POLE NO POLE x[1] = 0.853 y2[1] (analytic) = 1.7532569708487372684959370327215 y2[1] (numeric) = 1.8526336101305127816199053021502 absolute error = 0.0993766392817755131239682694287 relative error = 5.6681160225855597208146299557062 % h = 0.001 y1[1] (analytic) = 1.6577263381283925541054647776315 y1[1] (numeric) = 1.6362996172036436451733371599649 absolute error = 0.0214267209247489089321276176666 relative error = 1.2925366770090726567056430238564 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2788.6MB, alloc=4.7MB, time=151.17 x[1] = 0.854 y2[1] (analytic) = 1.7539143204487905715138013515826 y2[1] (numeric) = 1.8536327500915440956042096980853 absolute error = 0.0997184296427535240904083465027 relative error = 5.6854789587006525255098416733943 % h = 0.001 y1[1] (analytic) = 1.6569727524199449801015152325684 y1[1] (numeric) = 1.6354464840234486058664722750043 absolute error = 0.0215262683964963742350429575641 relative error = 1.2991323101154250793519615192631 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.855 y2[1] (analytic) = 1.7545709161345862519323706827818 y2[1] (numeric) = 1.8546318890444460983706707844183 absolute error = 0.1000609729098598464383001016365 relative error = 5.7028742463313783629219958478162 % h = 0.001 y1[1] (analytic) = 1.6562185097387997338801289904588 y1[1] (numeric) = 1.63459235170379659992456752685 absolute error = 0.0216261580350031339555614636088 relative error = 1.3057551227593616141316259370028 % h = 0.001 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.7MB, time=151.38 NO POLE NO POLE x[1] = 0.856 y2[1] (analytic) = 1.7552267572495286786722699335127 y2[1] (numeric) = 1.8556310269892190693677209462591 absolute error = 0.1004042697396903906954510127464 relative error = 5.7203019111345849270535179246032 % h = 0.001 y1[1] (analytic) = 1.6554636108391994337329976057035 y1[1] (numeric) = 1.6337372202456957565191044372168 absolute error = 0.0217263905935036772138931684867 relative error = 1.3124052048773201463655435315746 % h = 0.001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.7MB, time=151.60 NO POLE NO POLE x[1] = 0.857 y2[1] (analytic) = 1.7558818431377767914444967872976 y2[1] (numeric) = 1.8566301639258632878978512248636 absolute error = 0.100748320788086496453354437566 relative error = 5.7377619787928516154860300821662 % h = 0.001 y1[1] (analytic) = 1.6547080564760429163521816890169 y1[1] (numeric) = 1.6328810896501542045421890518797 absolute error = 0.0218269668258887118099926371372 relative error = 1.3190826466617089044817398210776 % h = 0.001 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.7MB, time=151.81 NO POLE NO POLE x[1] = 0.858 y2[1] (analytic) = 1.7565361731442447565914273395692 y2[1] (numeric) = 1.8576292998543790331174405964952 absolute error = 0.101093126710134276526013256926 relative error = 5.7552544750145958831507208421689 % h = 0.001 y1[1] (analytic) = 1.6539518474048844819313371236005 y1[1] (numeric) = 1.632023959918180072606697967378 absolute error = 0.0219278874867044093246391562225 relative error = 1.3257875385616653516529814106377 % h = 0.001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.7MB, time=152.01 NO POLE NO POLE x[1] = 0.859 y2[1] (analytic) = 1.757189746614602622172595164811 y2[1] (numeric) = 1.858628434774766584036585251459 absolute error = 0.101438688160163961863990086648 relative error = 5.7727794255341795138393064402779 % h = 0.001 y1[1] (analytic) = 1.6531949843819331386114778343436 y1[1] (numeric) = 1.6311658310507814890464245284409 absolute error = 0.0220291533311516495650533059027 relative error = 1.3325199712838176755624766585684 % h = 0.001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.7MB, time=152.22 NO POLE NO POLE x[1] = 0.86 y2[1] (analytic) = 1.7578425628952769722945887295286 y2[1] (numeric) = 1.8596275686870262195189278733074 absolute error = 0.1017850057917492472243391437788 relative error = 5.7903368561120148104186033968636 % h = 0.001 y1[1] (analytic) = 1.6524374681640518462720306642239 y1[1] (numeric) = 1.630306703048966581916225196134 absolute error = 0.0221307651150852643558054680899 relative error = 1.3392800357930488859100511678604 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2811.4MB, alloc=4.7MB, time=152.43 x[1] = 0.861 y2[1] (analytic) = 1.7584946213334515806844128212126 y2[1] (numeric) = 1.8606267015911582182814869182191 absolute error = 0.1021320802577066375970740970065 relative error = 5.8079267925346707047091797660438 % h = 0.001 y1[1] (analytic) = 1.6516792995087567596679385667926 y1[1] (numeric) = 1.6294465759137434789921660867262 absolute error = 0.0222327235950132806757724800664 relative error = 1.3460678233132635293112775151668 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.862 y2[1] (analytic) = 1.7591459212770680635056604199826 y2[1] (numeric) = 1.8616258334871628588944858945493 absolute error = 0.1024799122100947953888254745667 relative error = 5.8255492606149787879860157486871 % h = 0.001 y1[1] (analytic) = 1.6509204791742164709135689775753 y1[1] (numeric) = 1.6285854496461203077716696812775 absolute error = 0.0223350295280961631418992962978 relative error = 1.3528834253281570312823027210923 % h = 0.001 TOP MAIN SOLVE Loop memory used=2815.3MB, alloc=4.7MB, time=152.65 NO POLE NO POLE x[1] = 0.863 y2[1] (analytic) = 1.7597964620748265314168421967984 y2[1] (numeric) = 1.8626249643750404197811826425529 absolute error = 0.1028285023002138883643404457545 relative error = 5.8432042861921392630565826674156 % h = 0.001 y1[1] (analytic) = 1.6501610079192512513141848804184 y1[1] (numeric) = 1.6277233242471051954736617059467 absolute error = 0.0224376836721460558405231744717 relative error = 1.3597269335819876750435636259041 % h = 0.001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.7MB, time=152.86 NO POLE NO POLE x[1] = 0.864 y2[1] (analytic) = 1.7604462430761862408712215799592 y2[1] (numeric) = 1.8636240942547911792176986142794 absolute error = 0.1031778511786049383464770343202 relative error = 5.8608918951318268188692426579892 % h = 0.001 y1[1] (analytic) = 1.6494008865033322925457367372467 y1[1] (numeric) = 1.6268601997177062690387181830198 absolute error = 0.0225406867856260235070185542269 relative error = 1.3665984400803512269162104728404 % h = 0.001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.7MB, time=153.07 NO POLE NO POLE x[1] = 0.865 y2[1] (analytic) = 1.7610952636313662446575040901144 y2[1] (numeric) = 1.8646232231264154153328481536406 absolute error = 0.1035279594950491706753440635262 relative error = 5.8786121133262964286023797687965 % h = 0.001 y1[1] (analytic) = 1.6486401156865809471837341013768 y1[1] (numeric) = 1.6259960760589316551292126526581 absolute error = 0.0226440396276492920545214487187 relative error = 1.3734980370909582181258735328929 % h = 0.001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.7MB, time=153.28 NO POLE NO POLE x[1] = 0.866 y2[1] (analytic) = 1.7617435230913460416807304031469 y2[1] (numeric) = 1.8656223509899134061079677766501 absolute error = 0.1038788278985673644272373735032 relative error = 5.8963649666944890721821964184847 % h = 0.001 y1[1] (analytic) = 1.6478786962297679685819563854515 y1[1] (numeric) = 1.6251309532717894801294635653663 absolute error = 0.0227477429579784884524928200852 relative error = 1.380425817144413892869407449925 % h = 0.001 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.7MB, time=153.48 NO POLE NO POLE x[1] = 0.867 y2[1] (analytic) = 1.7623910208078662259827233600927 y2[1] (numeric) = 1.8666214778452854293767454518353 absolute error = 0.1042304570374192033940220917426 relative error = 5.9141504811821373841746472785105 % h = 0.001 y1[1] (analytic) = 1.6471166288943127501017629052209 y1[1] (numeric) = 1.6242648313572878701458818451801 absolute error = 0.0228517975370248799558810600408 relative error = 1.3873818730350008325414340685211 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.868 y2[1] (analytic) = 1.763037756133429135001439903703 y2[1] (numeric) = 1.8676206036925317628250498808216 absolute error = 0.1045828475591026278236099771186 relative error = 5.9319686827618712279945355630007 % h = 0.001 y1[1] (analytic) = 1.6463539144422825636927629697972 y1[1] (numeric) = 1.6233977103164349510071186235735 absolute error = 0.0229562041258476126856443462237 relative error = 1.3943662978214642660588777589535 % h = 0.001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.7MB, time=153.69 NO POLE NO POLE x[1] = 0.869 y2[1] (analytic) = 1.7636837284212994970685796823498 y2[1] (numeric) = 1.8686197285316526839907597790889 absolute error = 0.1049360001103531869221800967391 relative error = 5.9498195974333231973723643617967 % h = 0.001 y1[1] (analytic) = 1.6455905536363917978256074376496 y1[1] (numeric) = 1.6225295901502388482642131440853 absolute error = 0.0230609634861529495613942935643 relative error = 1.4013791848278000762632486091933 % h = 0.001 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.7MB, time=153.90 NO POLE NO POLE x[1] = 0.87 y2[1] (analytic) = 1.7643289370255050781448028237228 y2[1] (numeric) = 1.8696188523626484702635931569001 absolute error = 0.1052899153371433921187903331773 relative error = 5.9677032512232340460171179837409 % h = 0.001 y1[1] (analytic) = 1.6448265472400011947776638054828 y1[1] (numeric) = 1.6216604708597076871907408376648 absolute error = 0.023166076380293507586922967818 relative error = 1.4084206276440455124221792529314 % h = 0.001 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.7MB, time=154.10 NO POLE NO POLE x[1] = 0.871 y2[1] (analytic) = 1.7649733813008373277919101431513 y2[1] (numeric) = 1.8706179751855193988849366004024 absolute error = 0.1056445938846820710930264572511 relative error = 5.9856196701855580464107452273007 % h = 0.001 y1[1] (analytic) = 1.6440618960171170872723375442638 y1[1] (numeric) = 1.6207903524458495927829615687364 absolute error = 0.0232715435712674944893759755274 relative error = 1.4154907201270726188936614908442 % h = 0.001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.7MB, time=154.31 NO POLE NO POLE x[1] = 0.872 y2[1] (analytic) = 1.7656170606028520243813398144258 y2[1] (numeric) = 1.8716170970002657469476745529003 absolute error = 0.1060000363974137225663347384745 relative error = 6.003568880401568278667728003906 % h = 0.001 y1[1] (analytic) = 1.6432966007323906344728030430074 y1[1] (numeric) = 1.6199192349096726897599680519833 absolute error = 0.0233773658227179447128349910241 relative error = 1.422589556401384390058560188879 % h = 0.001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.7MB, time=154.52 NO POLE NO POLE x[1] = 0.873 y2[1] (analytic) = 1.7662599742878699195383352946765 y2[1] (numeric) = 1.872616217806887791396018596301 absolute error = 0.1063562435190178718576833016245 relative error = 6.0215509079799618503907447480311 % h = 0.001 y1[1] (analytic) = 1.6425306621511170573309081665308 y1[1] (numeric) = 1.6190471182521851025638344398494 absolute error = 0.0234835438989319547670737266814 relative error = 1.4297172308599136616693051595484 % h = 0.001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.7MB, time=154.73 NO POLE NO POLE x[1] = 0.874 y2[1] (analytic) = 1.7669021217129773818211400591947 y2[1] (numeric) = 1.8736153376053858090253367327325 absolute error = 0.1067132158924084272041966735378 relative error = 6.0395657790569650484510784977442 % h = 0.001 y1[1] (analytic) = 1.6417640810392348732920170782044 y1[1] (numeric) = 1.6181740024743949553597650807601 absolute error = 0.0235900785648399179322519974443 relative error = 1.4368738381648247488051778082323 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.875 y2[1] (analytic) = 1.7675435022360270396345754670545 y2[1] (numeric) = 1.8746144563957600764819826663331 absolute error = 0.1070709541597330368474071992786 relative error = 6.0576135197964384236200743620661 % h = 0.001 y1[1] (analytic) = 1.640996858163325130356556622796 y1[1] (numeric) = 1.617299887577310372036243448061 absolute error = 0.023696970586014758320313174735 relative error = 1.4440594732483178406673192246866 % h = 0.001 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.7MB, time=154.93 NO POLE NO POLE x[1] = 0.876 y2[1] (analytic) = 1.768184115215638423377358844013 y2[1] (numeric) = 1.8756135741780108702631250852141 absolute error = 0.1074294589623724468857662412011 relative error = 6.0756941563899818089756202489083 % h = 0.001 y1[1] (analytic) = 1.6402289942906106404990322077955 y1[1] (numeric) = 1.6164247735619394762051812396751 absolute error = 0.0238042207286711642938509681204 relative error = 1.4512742313134361624894910890051 % h = 0.001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.7MB, time=155.14 NO POLE NO POLE x[1] = 0.877 y2[1] (analytic) = 1.7688239600111986068225196354215 y2[1] (numeric) = 1.8766126909521384667165769435939 absolute error = 0.1077887309409398598940573081724 relative error = 6.0938077150570392730053081521904 % h = 0.001 y1[1] (analytic) = 1.6394604901889552124452797641414 y1[1] (numeric) = 1.6155486604292903912020676484776 absolute error = 0.0239118297596648212432121156638 relative error = 1.458518207834875914883721219356 % h = 0.001 TOP MAIN SOLVE Loop memory used=2864.8MB, alloc=4.7MB, time=155.35 NO POLE NO POLE x[1] = 0.878 y2[1] (analytic) = 1.769463035982862847730272248788 y2[1] (numeric) = 1.8776118067181431420406247441052 absolute error = 0.1081487707352802943103524953172 relative error = 6.1119542220450040083256309311647 % h = 0.001 y1[1] (analytic) = 1.6386913466268628838087210090344 y1[1] (numeric) = 1.6146715481803712400861188033889 absolute error = 0.0240197984464916437226022056455 relative error = 1.465791498559799000983262796302 % h = 0.001 TOP MAIN SOLVE Loop memory used=2868.7MB, alloc=4.7MB, time=155.56 NO POLE NO POLE x[1] = 0.879 y2[1] (analytic) = 1.7701013424915552276927049731688 y2[1] (numeric) = 1.8786109214760251722838578202737 absolute error = 0.1085095789844699445911528471049 relative error = 6.1301337036293231569342813025974 % h = 0.001 y1[1] (analytic) = 1.6379215643734771525863898745154 y1[1] (numeric) = 1.6137934368161901456404273811848 absolute error = 0.0241281275572870069459624933306 relative error = 1.4730941995086485517887912426127 % h = 0.001 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.7MB, time=155.77 NO POLE NO POLE x[1] = 0.88 y2[1] (analytic) = 1.770738878898969291209645130756 y2[1] (numeric) = 1.8796100352257848333449976191695 absolute error = 0.1088711563268155421353524884135 relative error = 6.148346186113602572910345649961 % h = 0.001 y1[1] (analytic) = 1.6371511441985802080154986057221 y1[1] (numeric) = 1.6129143263377552303721123890242 absolute error = 0.0242368178608249776433862166979 relative error = 1.4804264069759672601674564111488 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2876.3MB, alloc=4.7MB, time=155.98 x[1] = 0.881 y2[1] (analytic) = 1.771375644567568683995061384847 y2[1] (numeric) = 1.8806091479674224009727269842305 absolute error = 0.1092335033998537169776655993835 relative error = 6.1665916958297115234749251774533 % h = 0.001 y1[1] (analytic) = 1.6363800868725921607913126721897 y1[1] (numeric) = 1.6120342167460746165124691176944 absolute error = 0.0243458701265175442788435544953 relative error = 1.4877882175312185339983011327415 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.882 y2[1] (analytic) = 1.772011638860587790513364897848 y2[1] (numeric) = 1.8816082597009381507655194382583 absolute error = 0.1095966208403503602521545404103 relative error = 6.184870259137887329322470843859 % h = 0.001 y1[1] (analytic) = 1.6356083931665702726471042742594 y1[1] (numeric) = 1.6111531080421564260171192655731 absolute error = 0.0244552851244138466299850086863 relative error = 1.4951797280196104790016513060417 % h = 0.001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.7MB, time=156.19 NO POLE NO POLE x[1] = 0.883 y2[1] (analytic) = 1.7726468611420323707449718030637 y2[1] (numeric) = 1.8826073704263323581714684665863 absolute error = 0.1099605092842999874264966635226 relative error = 6.2031819024268399451308863467191 % h = 0.001 y1[1] (analytic) = 1.6348360638522081852969548645758 y1[1] (numeric) = 1.6102710002270087805661612333074 absolute error = 0.0245650636251994047307936312684 relative error = 1.5026010355629227218343785787549 % h = 0.001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.7MB, time=156.40 NO POLE NO POLE x[1] = 0.884 y2[1] (analytic) = 1.7732813107766801961804902247626 y2[1] (numeric) = 1.88360648014360529848811680042 absolute error = 0.1103251693669251023076265756574 relative error = 6.2215266521138564811562351355483 % h = 0.001 y1[1] (analytic) = 1.6340630997018351487421777418069 y1[1] (numeric) = 1.6093878933016398015643205892098 absolute error = 0.0246752064001953471778571525971 relative error = 1.5100522375603360840774352897426 % h = 0.001 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.7MB, time=156.61 NO POLE NO POLE x[1] = 0.885 y2[1] (analytic) = 1.7739149871300816850428958523849 y2[1] (numeric) = 1.8846055888527572468622857003493 absolute error = 0.1106906017226755618193898479644 relative error = 6.2399045346449056668156829585546 % h = 0.001 y1[1] (analytic) = 1.6332895014884152489421324100994 y1[1] (numeric) = 1.6085037872670576101411007053704 absolute error = 0.024785714221357638801031704729 relative error = 1.5175334316892651177867637331091 % h = 0.001 TOP MAIN SOLVE Loop memory used=2891.6MB, alloc=4.7MB, time=156.81 NO POLE NO POLE x[1] = 0.886 y2[1] (analytic) = 1.7745478895685605367370608467703 y2[1] (numeric) = 1.8856046965537884782899042400337 absolute error = 0.1110568069852279415528433932634 relative error = 6.2583155764947422571601167362242 % h = 0.001 y1[1] (analytic) = 1.6325152699855466348502030333909 y1[1] (numeric) = 1.6076186821242703271509335644858 absolute error = 0.0248965878612763076992694689051 relative error = 1.5250447159061935133235889937524 % h = 0.001 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.7MB, time=157.02 NO POLE NO POLE x[1] = 0.887 y2[1] (analytic) = 1.7751800174592143655260016289292 y2[1] (numeric) = 1.886603803246699267615838590059 absolute error = 0.1114237857874849020898369611298 relative error = 6.2767598041670113831357035523324 % h = 0.001 y1[1] (analytic) = 1.6317404059674607448157139485358 y1[1] (numeric) = 1.6067325778742860731733307374041 absolute error = 0.0250078280931746716423832111317 relative error = 1.5325861884475123902252176196639 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2899.2MB, alloc=4.7MB, time=157.23 x[1] = 0.888 y2[1] (analytic) = 1.7758113701699153334332118751625 y2[1] (numeric) = 1.8876029089314898895337213019668 absolute error = 0.1117915387615745561005094268043 relative error = 6.2952372441943528465314902047518 % h = 0.001 y1[1] (analytic) = 1.6309649102090215323525558352659 y1[1] (numeric) = 1.605845474518112968513034531386 absolute error = 0.0251194356909085638395213038799 relative error = 1.540157947830361481922784275712 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.889 y2[1] (analytic) = 1.7764419470693107823704478162497 y2[1] (numeric) = 1.8886020136081606185857805924562 absolute error = 0.1121600665388498362153327762065 relative error = 6.3137479231385053605079940106392 % h = 0.001 y1[1] (analytic) = 1.630188783485724691275296774293 y1[1] (numeric) = 1.6049573720567591332001693090817 absolute error = 0.0252314114289655580751274652113 relative error = 1.5477600928534732251579163084092 % h = 0.001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.7MB, time=157.44 NO POLE NO POLE x[1] = 0.89 y2[1] (analytic) = 1.7770717475268238654903337129732 y2[1] (numeric) = 1.8896011172767117291626696277574 absolute error = 0.1125293697498878636723359147842 relative error = 6.3322918675904107365995993599922 % h = 0.001 y1[1] (analytic) = 1.6294120265736968802035530573802 y1[1] (numeric) = 1.6040682704912326869903929782236 absolute error = 0.0253437560824641932131600791566 relative error = 1.5553927225980197649960228894197 % h = 0.001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.7MB, time=157.65 NO POLE NO POLE x[1] = 0.891 y2[1] (analytic) = 1.7777007709126541777631561554249 y2[1] (numeric) = 1.8906002199371434955032958081779 absolute error = 0.112899449024489317740139652753 relative error = 6.3508691041703180190814518050873 % h = 0.001 y1[1] (analytic) = 1.6286346402496949464353952449452 y1[1] (numeric) = 1.6031781698225417493650486520344 absolute error = 0.0254564704271531970703465929108 relative error = 1.5630559364284628863798621497441 % h = 0.001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.7MB, time=157.86 NO POLE NO POLE x[1] = 0.892 y2[1] (analytic) = 1.7783290165977783857772166093547 y2[1] (numeric) = 1.891599321589456191694650052821 absolute error = 0.1132703049916778059174334434663 relative error = 6.3694796595278875675894322075678 % h = 0.001 y1[1] (analytic) = 1.6278566252911051491905655977243 y1[1] (numeric) = 1.6022870700516944395313164803509 absolute error = 0.0255695552394107096592491173734 relative error = 1.5707498339934068832131975262836 % h = 0.001 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.7MB, time=158.06 NO POLE NO POLE x[1] = 0.893 y2[1] (analytic) = 1.7789564839539508567621124092591 y2[1] (numeric) = 1.892598422233650091671636084476 absolute error = 0.1136419382796992349095236752169 relative error = 6.3881235603422950888796975881008 % h = 0.001 y1[1] (analytic) = 1.6270779824759423822242836392167 y1[1] (numeric) = 1.6013949711796988764223656514626 absolute error = 0.0256830112962435058019179877541 relative error = 1.5784745152264543760107244826519 % h = 0.001 TOP MAIN SOLVE Loop memory used=2918.3MB, alloc=4.7MB, time=158.27 NO POLE NO POLE x[1] = 0.894 y2[1] (analytic) = 1.7795831723537042868343171749836 y2[1] (numeric) = 1.8935975218697254692168997146815 absolute error = 0.1140143495160211823825825396979 relative error = 6.4068008333223356186121927826458 % h = 0.001 y1[1] (analytic) = 1.626298712582849395812417235037 y1[1] (numeric) = 1.6005018732075631786975065646656 absolute error = 0.0257968393752862171149106703714 relative error = 1.5862300803470650891970319065639 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2922.1MB, alloc=4.7MB, time=158.49 x[1] = 0.895 y2[1] (analytic) = 1.780209081170350328464432406308 y2[1] (numeric) = 1.8945966204976825979606581289602 absolute error = 0.1143875393273322694962257226522 relative error = 6.4255115052065274540404677531023 % h = 0.001 y1[1] (analytic) = 1.6255188163910960181087972039415 y1[1] (numeric) = 1.5996077761362954647423431735311 absolute error = 0.0259110402548005533664540304104 relative error = 1.594016629861417599184159904427 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.896 y2[1] (analytic) = 1.7808342097779802171654827883184 y2[1] (numeric) = 1.8955957181175217513805291722265 absolute error = 0.1147615083395415342150463839081 relative error = 6.444255602763216038488079376168 % h = 0.001 y1[1] (analytic) = 1.6247382946805783758754541031468 y1[1] (numeric) = 1.5987126799669038526689254998889 absolute error = 0.0260256147136745232065286032579 relative error = 1.6018342645632740644043284911244 % h = 0.001 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.7MB, time=158.70 NO POLE NO POLE x[1] = 0.897 y2[1] (analytic) = 1.7814585575514653974016285193201 y2[1] (numeric) = 1.8965948147292432028013606343659 absolute error = 0.1151362571777778053997321150458 relative error = 6.4630331527906777984898136920648 % h = 0.001 y1[1] (analytic) = 1.6239571482318181145865564576418 y1[1] (numeric) = 1.5978165847003964603159023185251 absolute error = 0.0261405635314216542706541391167 relative error = 1.6096830855348479485216408988581 % h = 0.001 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.7MB, time=158.91 NO POLE NO POLE x[1] = 0.898 y2[1] (analytic) = 1.7820821238664581477166687526331 y2[1] (numeric) = 1.8975939103328472253950595359871 absolute error = 0.115511786466389077678390783354 relative error = 6.4818441821172239344739348825125 % h = 0.001 y1[1] (analytic) = 1.6231753778259616179068303294869 y1[1] (numeric) = 1.5969194903377814052486740125944 absolute error = 0.0262558874881802126581563168925 relative error = 1.6175631941476747480940119960983 % h = 0.001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.7MB, time=159.12 NO POLE NO POLE x[1] = 0.899 y2[1] (analytic) = 1.7827049080993922050817110238177 y2[1] (numeric) = 1.8985930049283340921804214143461 absolute error = 0.1158880968289418870987103905284 relative error = 6.5006887176013041658596506148645 % h = 0.001 y1[1] (analytic) = 1.6223929842447792265452407486178 y1[1] (numeric) = 1.5960213968800668047595455997463 absolute error = 0.0263715873647124217856951488715 relative error = 1.6254746920634857360042377179491 % h = 0.001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.7MB, time=159.32 NO POLE NO POLE x[1] = 0.9 y2[1] (analytic) = 1.7833269096274833884613823157136 y2[1] (numeric) = 1.8995920985157040760229596094423 absolute error = 0.1162651888882206875615772937287 relative error = 6.5195667861316104314419797857813 % h = 0.001 y1[1] (analytic) = 1.6216099682706644564847161514071 y1[1] (numeric) = 1.5951223043282607758678799289654 absolute error = 0.0264876639424036806168362224417 relative error = 1.6334176812350847320270065674469 % h = 0.001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.7MB, time=159.53 NO POLE NO POLE x[1] = 0.901 y2[1] (analytic) = 1.7839481278287302215979581951327 y2[1] (numeric) = 1.9005911910949574496347345502875 absolute error = 0.1166430632662272280367763551548 relative error = 6.5384784146271805459342180734364 % h = 0.001 y1[1] (analytic) = 1.6208263306866332165886975971928 y1[1] (numeric) = 1.5942222126833714353202510481258 absolute error = 0.026604118003261781268446549067 relative error = 1.6413922639072279119467602664512 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2945.0MB, alloc=4.7MB, time=159.74 x[1] = 0.902 y2[1] (analytic) = 1.7845685620819145550127872371293 y2[1] (numeric) = 1.9015902826660944855741830413467 absolute error = 0.1170217205841799305613958042174 relative error = 6.5574236300375018135362190116055 % h = 0.001 y1[1] (analytic) = 1.6200420722763230255852951561612 y1[1] (numeric) = 1.5933211219464068995905977422585 absolute error = 0.0267209503299161259946974139027 relative error = 1.6493985426175066666896386334091 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.903 y2[1] (analytic) = 1.7851882117666021872243887354735 y2[1] (numeric) = 1.9025893732291154562459475491513 absolute error = 0.1174011614625132690215588136778 relative error = 6.5764024593426145993947434833072 % h = 0.001 y1[1] (analytic) = 1.619257193823992228429834484361 y1[1] (numeric) = 1.592419032118375284880377242533 absolute error = 0.026838161705616943549457241828 relative error = 1.6574366201972335229812948669476 % h = 0.001 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.7MB, time=159.95 NO POLE NO POLE x[1] = 0.904 y2[1] (analytic) = 1.7858070762631434851826024812843 y2[1] (numeric) = 1.9035884627840206339007054890842 absolute error = 0.1177813865208771487181030077999 relative error = 6.5954149295532158598201785456716 % h = 0.001 y1[1] (analytic) = 1.6184716961145192120465772232376 y1[1] (numeric) = 1.5915159432002847071187191059515 absolute error = 0.0269557529142345049278581172861 relative error = 1.6655065997723311370911427509363 % h = 0.001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.7MB, time=160.15 NO POLE NO POLE x[1] = 0.905 y2[1] (analytic) = 1.7864251549526740039181701757212 y2[1] (numeric) = 1.904587551330810290634998512338 absolute error = 0.1181623963781362867168283366168 relative error = 6.6144610677107626321219872936879 % h = 0.001 y1[1] (analytic) = 1.6176855799334016204503994819018 y1[1] (numeric) = 1.590611855193143281962579265757 absolute error = 0.0270737247402583384878202161448 relative error = 1.6736085847642243732725980040029 % h = 0.001 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.7MB, time=160.36 NO POLE NO POLE x[1] = 0.906 y2[1] (analytic) = 1.787042447217115105407128827208 y2[1] (numeric) = 1.9055866388694846983910617930445 absolute error = 0.1185441916523695929839329658365 relative error = 6.633540900887575484923324998016 % h = 0.001 y1[1] (analytic) = 1.6168988460667555692492132803878 y1[1] (numeric) = 1.5897067680979591247968942525536 absolute error = 0.0271920779687964444523190278342 relative error = 1.6817426788907354785581032185027 % h = 0.001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.7MB, time=160.57 NO POLE NO POLE x[1] = 0.907 y2[1] (analytic) = 1.7876589524391745766493972688437 y2[1] (numeric) = 1.9065857254000441289566533155769 absolute error = 0.1189267729608695523072560467332 relative error = 6.6526544561869419298133429648436 % h = 0.001 y1[1] (analytic) = 1.6161114953013148595279164514162 y1[1] (numeric) = 1.58880068191574035073473558614 absolute error = 0.0273108133855745087931808652762 relative error = 1.6899089861669823656171807196229 % h = 0.001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.7MB, time=160.78 NO POLE NO POLE x[1] = 0.908 y2[1] (analytic) = 1.7882746700023472469609377174681 y2[1] (numeric) = 1.9075848109224888539648831620246 absolute error = 0.1193101409201416070039454445565 relative error = 6.6718017607432197951938004135519 % h = 0.001 y1[1] (analytic) = 1.6153235284244301911146571166434 y1[1] (numeric) = 1.5878935966474950746174643380558 absolute error = 0.0274299317769351164971927785876 relative error = 1.6981076109062800154354413800704 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.909 y2[1] (analytic) = 1.78888959929091560447887508227 y2[1] (numeric) = 1.9085838954368191448940427998395 absolute error = 0.1196942961459035404151677175695 relative error = 6.6909828417219405631747161045265 % h = 0.001 y1[1] (analytic) = 1.6145349462240683752301994710699 y1[1] (numeric) = 1.5869855122942314110148858648395 absolute error = 0.0275494339298369642153136062304 relative error = 1.7063386577210450116223911126854 % memory used=2967.8MB, alloc=4.7MB, time=160.98 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.91 y2[1] (analytic) = 1.7895037396899504118789575178716 y2[1] (numeric) = 1.9095829789430352730674343696551 absolute error = 0.1200792392530848611884768517835 relative error = 6.7101977263199126703719154263186 % h = 0.001 y1[1] (analytic) = 1.6137457494888115465211782261747 y1[1] (numeric) = 1.5860764288569574742254047119996 absolute error = 0.0276693206318540722957735141751 relative error = 1.7146022315237032182060215993497 % h = 0.001 TOP MAIN SOLVE Loop memory used=2971.7MB, alloc=4.7MB, time=161.19 NO POLE NO POLE x[1] = 0.911 y2[1] (analytic) = 1.7901170905853113213047425044789 y2[1] (numeric) = 1.9105820614411375096531999732776 absolute error = 0.1204649708558261883484574687987 relative error = 6.729446441765324773457465121627 % h = 0.001 y1[1] (analytic) = 1.6129559390078563744780296784564 y1[1] (numeric) = 1.5851663463366813782761796886974 absolute error = 0.027789592671174996201849989759 relative error = 1.7228984375276006128225489760627 % h = 0.001 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.7MB, time=161.41 NO POLE NO POLE x[1] = 0.912 y2[1] (analytic) = 1.7907296513636474885078935259636 y2[1] (numeric) = 1.9115811429311261256641509618496 absolute error = 0.120851491567478637156257435886 relative error = 6.7487290153178489803121367480967 % h = 0.001 y1[1] (analytic) = 1.612165515571013274238387985384 y1[1] (numeric) = 1.5842552647344112369232791131416 absolute error = 0.0279102508366020373151088722424 relative error = 1.7312273812479172872602748612341 % h = 0.001 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.7MB, time=161.63 NO POLE NO POLE x[1] = 0.913 y2[1] (analytic) = 1.7913414214123981861989732056309 y2[1] (numeric) = 1.9125802234130013919575972241855 absolute error = 0.1212388020006032057586240185546 relative error = 6.7680454742687440476272012859626 % h = 0.001 y1[1] (analytic) = 1.6113744799687056167767358452946 y1[1] (numeric) = 1.583343184051155163651836228695 absolute error = 0.0280312959175504531248996165996 relative error = 1.7395891685025846273673894754863 % h = 0.001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.7MB, time=161.83 NO POLE NO POLE x[1] = 0.914 y2[1] (analytic) = 1.7919524001197934166081195489314 y2[1] (numeric) = 1.9135793028867635792351764752796 absolute error = 0.1216269027669701626270569263482 relative error = 6.7873958459409585458010309738426 % h = 0.001 y1[1] (analytic) = 1.6105828329919689384810993915234 y1[1] (numeric) = 1.5824301042879212716762047906924 absolute error = 0.028152728704047666804894600831 relative error = 1.7479839054132056843846178511224 % h = 0.001 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.7MB, time=162.04 NO POLE NO POLE x[1] = 0.915 y2[1] (analytic) = 1.7925625868748545232549927324916 y2[1] (numeric) = 1.9145783813524129580426835449864 absolute error = 0.1220157944775584347876908124948 relative error = 6.8067801576892339919741704300623 % h = 0.001 y1[1] (analytic) = 1.609790575432450150117577724003 y1[1] (numeric) = 1.5815160254457176739401148239703 absolute error = 0.0282745499867324761774629000327 relative error = 1.756411698405978749814928468012 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.916 y2[1] (analytic) = 1.7931719810673948019273806695674 y2[1] (numeric) = 1.9155774588099497987698996668729 absolute error = 0.1224054777425549968425189973055 relative error = 6.8261984369002079520447373540301 % h = 0.001 y1[1] (analytic) = 1.6089977080824067451834981137382 y1[1] (numeric) = 1.5806009475255524831168285511074 absolute error = 0.0283967605568542620666695626308 relative error = 1.7648726542126241459940802888105 % h = 0.001 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.7MB, time=162.25 NO POLE NO POLE x[1] = 0.917 y2[1] (analytic) = 1.7937805820880201108678523733656 y2[1] (numeric) = 1.9165765352593743716504217672435 absolute error = 0.1227959531713542607825693938779 relative error = 6.8456507109925171125042235548092 % h = 0.001 y1[1] (analytic) = 1.6082042317347060076499885269339 y1[1] (numeric) = 1.5796848705284338116092964913766 absolute error = 0.0285193612062721960406920355573 relative error = 1.7733668798713142445775803131146 % h = 0.001 TOP MAIN SOLVE Loop memory used=2994.6MB, alloc=4.7MB, time=162.45 NO POLE NO POLE x[1] = 0.918 y2[1] (analytic) = 1.7943883893281294801678489316321 y2[1] (numeric) = 1.9175756107006869467614917543369 absolute error = 0.1231872213725574665936428227048 relative error = 6.8651370074169003229319896764566 % h = 0.001 y1[1] (analytic) = 1.6074101471828242190947597261393 y1[1] (numeric) = 1.5787677944553697715503137304075 absolute error = 0.0286423527274544475444459957318 relative error = 1.7818944827276067252116606494905 % h = 0.001 TOP MAIN SOLVE Loop memory used=2998.4MB, alloc=4.7MB, time=162.66 NO POLE NO POLE x[1] = 0.919 y2[1] (analytic) = 1.7949954021799157203686026984643 y2[1] (numeric) = 1.9185746851338877940238258076953 absolute error = 0.123579282953972073655223109231 relative error = 6.8846573536563016099849817374867 % h = 0.001 y1[1] (analytic) = 1.6066154552208458652258898155579 y1[1] (numeric) = 1.5778497193073684748026763605599 absolute error = 0.028765735913477390423213454998 relative error = 1.7904555704353810867081629427815 % h = 0.001 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.7MB, time=162.87 NO POLE NO POLE x[1] = 0.92 y2[1] (analytic) = 1.7956016200363660302682761024816 y2[1] (numeric) = 1.9195737585589771832014436677059 absolute error = 0.1239721385226111529331675652243 relative error = 6.9042117772259731637174444291698 % h = 0.001 y1[1] (analytic) = 1.6058201566434628417974047066744 y1[1] (numeric) = 1.5769306450854380329593380920078 absolute error = 0.0288895115580248088380666146666 relative error = 1.7990502509577784230957400274585 % h = 0.001 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.7MB, time=163.08 NO POLE NO POLE x[1] = 0.921 y2[1] (analytic) = 1.7962070422912626039347122642647 y2[1] (numeric) = 1.9205728309759553839014979253146 absolute error = 0.1243657886846927799667856610499 relative error = 6.9238003056735782970636649807935 % h = 0.001 y1[1] (analytic) = 1.6050242522459736599174485885512 y1[1] (numeric) = 1.5760105717905865573435670345336 absolute error = 0.0290136804553871025738815540176 relative error = 1.8076786325681444769725511461709 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3009.8MB, alloc=4.7MB, time=163.28 x[1] = 0.922 y2[1] (analytic) = 1.7968116683391832369231904103635 y2[1] (numeric) = 1.9215719023848226655741033119122 absolute error = 0.1247602340456394286509129015487 relative error = 6.9434229665792943793150522544657 % h = 0.001 y1[1] (analytic) = 1.6042277428242826507498390945582 y1[1] (numeric) = 1.5750894994238221590091026500326 absolute error = 0.0291382434004604917407364445256 relative error = 1.8163408238509759826386392249155 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.923 y2[1] (analytic) = 1.797415497575501931698579866169 y2[1] (numeric) = 1.9225709727855792975121659893925 absolute error = 0.1251554752100773658135861232235 relative error = 6.9630797875559157444211385336951 % h = 0.001 y1[1] (analytic) = 1.6034306291748991696098024639136 y1[1] (numeric) = 1.5741674279861529487403128757277 absolute error = 0.0292632011887462208694895881859 relative error = 1.8250369337028703115394377871034 % h = 0.001 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.7MB, time=163.49 NO POLE NO POLE x[1] = 0.924 y2[1] (analytic) = 1.7980185293963895022612872055464 y2[1] (numeric) = 1.9235700421782255488512128403827 absolute error = 0.1255515127818360465899256348363 relative error = 6.982770796248956574942386175235 % h = 0.001 y1[1] (analytic) = 1.6026329120949367994546846022351 y1[1] (numeric) = 1.5732443574785870370523514180935 absolute error = 0.0293885546163497624023331841416 relative error = 1.8337670713334784326053623805848 % h = 0.001 TOP MAIN SOLVE Loop memory used=3017.4MB, alloc=4.7MB, time=163.70 NO POLE NO POLE x[1] = 0.925 y2[1] (analytic) = 1.7986207631988141779763919313308 y2[1] (numeric) = 1.9245691105627616885692207586464 absolute error = 0.1259483473639475105928288273156 relative error = 7.002496020336753762480987859022 % h = 0.001 y1[1] (analytic) = 1.6018345923821125537704345503238 y1[1] (numeric) = 1.5723202879021325341913152174907 absolute error = 0.0295143044799800195791193328331 relative error = 1.8425313462664612001261981528215 % h = 0.001 TOP MAIN SOLVE Loop memory used=3021.3MB, alloc=4.7MB, time=163.91 NO POLE NO POLE x[1] = 0.926 y2[1] (analytic) = 1.7992221983805422066053668576022 y2[1] (numeric) = 1.9255681779391879854864459396585 absolute error = 0.1263459795586457788810790820563 relative error = 7.0222554875305697454141675526988 % h = 0.001 y1[1] (analytic) = 1.6010356708347460788546574746306 y1[1] (numeric) = 1.5713952192577975501344020835095 absolute error = 0.0296404515769485287202553911211 relative error = 1.851329868340448981853002716526 % h = 0.001 TOP MAIN SOLVE Loop memory used=3025.1MB, alloc=4.7MB, time=164.12 NO POLE NO POLE x[1] = 0.927 y2[1] (analytic) = 1.7998228343401384565397801620681 y2[1] (numeric) = 1.9265672443075047082652531713525 absolute error = 0.1267444099673662517254730092844 relative error = 7.0420492255746953247528194631938 % h = 0.001 y1[1] (analytic) = 1.6002361482517588554970348962863 y1[1] (numeric) = 1.5704691515465901945900685010226 absolute error = 0.0297669967051686609069663952637 relative error = 1.8601627477100046400745029837662 % h = 0.001 TOP MAIN SOLVE Loop memory used=3028.9MB, alloc=4.7MB, time=164.33 NO POLE NO POLE x[1] = 0.928 y2[1] (analytic) = 1.8004226704769670182363768749028 y2[1] (numeric) = 1.9275663096677121254099451250398 absolute error = 0.127143639190745107173568250137 relative error = 7.0618772622465524589466641343606 % h = 0.001 y1[1] (analytic) = 1.5994360254326734000579104782075 y1[1] (numeric) = 1.5695420847695185769981876069472 absolute error = 0.0298939406631548230597228712603 relative error = 1.86903009484658987846947750119 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3032.7MB, alloc=4.7MB, time=164.53 x[1] = 0.929 y2[1] (analytic) = 1.8010217061911918048529383690117 y2[1] (numeric) = 1.9285653740198105052665916465019 absolute error = 0.1275436678286187004136532774902 relative error = 7.0817396253567970384554544251331 % h = 0.001 y1[1] (analytic) = 1.5986353031776124649458402916272 y1[1] (numeric) = 1.5686140189275908065302073377164 absolute error = 0.0300212842500216584156329539108 relative error = 1.8779320205395349675913832900691 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.93 y2[1] (analytic) = 1.8016199408837771520843192159106 y2[1] (numeric) = 1.929564437363800116022859047254 absolute error = 0.1279444964800229639385398313434 relative error = 7.1016363427494216409041293241857 % h = 0.001 y1[1] (analytic) = 1.597833982287298238494907084433 y1[1] (numeric) = 1.5676849540218149920893087474586 absolute error = 0.0301490282654832464055983369744 relative error = 1.8868686358970118618965095866588 % h = 0.001 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.7MB, time=164.74 NO POLE NO POLE x[1] = 0.931 y2[1] (analytic) = 1.8022173739564884171980615712348 y2[1] (numeric) = 1.9305634996996812257078393959817 absolute error = 0.1283461257431928085097778247469 relative error = 7.1215674423018582676381903831761 % h = 0.001 y1[1] (analytic) = 1.5970320635630515442425986739304 y1[1] (numeric) = 1.5667548900531992423105644968865 absolute error = 0.0302771735098523019320341770439 relative error = 1.8958400523470107212822215024646 % h = 0.001 TOP MAIN SOLVE Loop memory used=3040.3MB, alloc=4.7MB, time=164.95 NO POLE NO POLE x[1] = 0.932 y2[1] (analytic) = 1.802814004811892577268988054311 y2[1] (numeric) = 1.9315625610274541021918798101492 absolute error = 0.1287485562155615249228917558382 relative error = 7.1415329519250810624939639394557 % h = 0.001 y1[1] (analytic) = 1.5962295478067910396090511860886 y1[1] (numeric) = 1.565823827022751665561097512894 absolute error = 0.0304057207840393740479536731946 relative error = 1.9048463816383198501573958004699 % h = 0.001 TOP MAIN SOLVE Loop memory used=3044.1MB, alloc=4.7MB, time=165.16 NO POLE NO POLE x[1] = 0.933 y2[1] (analytic) = 1.8034098328533588266121748872515 y2[1] (numeric) = 1.9325616213471190131864117477802 absolute error = 0.1291517884937601865742368605287 relative error = 7.1615328995637090135968122089528 % h = 0.001 y1[1] (analytic) = 1.5954264358210324139784584619569 y1[1] (numeric) = 1.5648917649314803699402398188614 absolute error = 0.0305346708895520440382186430955 relative error = 1.9138877358415090671229500370157 % h = 0.001 TOP MAIN SOLVE Loop memory used=3048.0MB, alloc=4.7MB, time=165.36 NO POLE NO POLE x[1] = 0.934 y2[1] (analytic) = 1.8040048574850591734137078606457 y2[1] (numeric) = 1.933560680658676226243780299411 absolute error = 0.1295558231736170528300724387653 relative error = 7.181567313196108638998767720088 % h = 0.001 y1[1] (analytic) = 1.5946227284088875861834495497756 y1[1] (numeric) = 1.5639587037803934632796915356691 absolute error = 0.0306640246284941229037580141065 relative error = 1.9229642273499165183964265849843 % h = 0.001 TOP MAIN SOLVE Loop memory used=3051.8MB, alloc=4.7MB, time=165.57 NO POLE NO POLE x[1] = 0.935 y2[1] (analytic) = 1.8045990781119690355586244951433 y2[1] (numeric) = 1.9345597389621260087570734802158 absolute error = 0.1299606608501569731984489850725 relative error = 7.2016362208344966569654883885458 % h = 0.001 y1[1] (analytic) = 1.5938184263740639013932367983387 y1[1] (numeric) = 1.563024643570499053143680053419 absolute error = 0.0307937828035648482495567449197 relative error = 1.9320759688806389481709158728818 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3055.6MB, alloc=4.7MB, time=165.78 x[1] = 0.936 y2[1] (analytic) = 1.8051924941398678356554465710368 y2[1] (numeric) = 1.9355587962574686279599515223042 absolute error = 0.1303663021176007923045049512674 relative error = 7.2217396505250426417208647602003 % h = 0.001 y1[1] (analytic) = 1.5930135305208633274063376633907 y1[1] (numeric) = 1.5620895843028052468291193738635 absolute error = 0.0309239462180580805772182895272 relative error = 1.9412230734755254391551898944715 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.937 y2[1] (analytic) = 1.8057851049753395952567080013595 y2[1] (numeric) = 1.9365578525447043509264761671911 absolute error = 0.1307727475693647556697681658316 relative error = 7.241877630347971665456056534912 % h = 0.001 y1[1] (analytic) = 1.5922080416541816503486739342715 y1[1] (numeric) = 1.5611535259783201513657696235427 absolute error = 0.0310545156758614989829043107288 relative error = 1.9504056545021746365987690220069 % h = 0.001 TOP MAIN SOLVE Loop memory used=3059.4MB, alloc=4.7MB, time=165.98 NO POLE NO POLE x[1] = 0.938 y2[1] (analytic) = 1.8063769100257735282748838280223 y2[1] (numeric) = 1.9375569078238334445709399584386 absolute error = 0.1311799977980599162960561304163 relative error = 7.2620501884176669274081923867702 % h = 0.001 y1[1] (analytic) = 1.5914019605795076697778526826406 y1[1] (numeric) = 1.5602164685980518735163967376284 absolute error = 0.0311854919814557962614559450122 relative error = 1.9596238256549354691627637554172 % h = 0.001 TOP MAIN SOLVE Loop memory used=3063.2MB, alloc=4.7MB, time=166.19 NO POLE NO POLE x[1] = 0.939 y2[1] (analytic) = 1.8069679086993646335931269251073 y2[1] (numeric) = 1.9385559620948561756476955344704 absolute error = 0.1315880533954915420545686093631 relative error = 7.2822573528827723708124352774166 % h = 0.001 y1[1] (analytic) = 1.590595288102922393194433828935 y1[1] (numeric) = 1.5592784121630085197769323144758 absolute error = 0.0313168759399138734175015144592 relative error = 1.9688777009559113800547196321678 % h = 0.001 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.7MB, time=166.40 NO POLE NO POLE x[1] = 0.94 y2[1] (analytic) = 1.8075581004051142868702197986342 y2[1] (numeric) = 1.9395550153577728107509849215585 absolute error = 0.1319969149526585238807651229243 relative error = 7.3024991519262952885295948774628 % h = 0.001 y1[1] (analytic) = 1.589788025031098229960989815224 y1[1] (numeric) = 1.5583393566741981963766336408822 absolute error = 0.0314486683569000335843561743418 relative error = 1.9781673947559680819033494861578 % h = 0.001 TOP MAIN SOLVE Loop memory used=3070.8MB, alloc=4.7MB, time=166.61 NO POLE NO POLE x[1] = 0.941 y2[1] (analytic) = 1.8081474845528308315391496778929 y2[1] (numeric) = 1.9405540676125836163147688269818 absolute error = 0.1324065830597527847756191490889 relative error = 7.3227756137657089181499593287166 % h = 0.001 y1[1] (analytic) = 1.5889801721712981846297634653354 y1[1] (numeric) = 1.5573993021326290092782438880523 absolute error = 0.0315808700386691753515195772831 relative error = 1.9874930217357448489069639662607 % h = 0.001 TOP MAIN SOLVE Loop memory used=3074.7MB, alloc=4.7MB, time=166.82 NO POLE NO POLE x[1] = 0.942 y2[1] (analytic) = 1.8087360605531301689987158998209 y2[1] (numeric) = 1.9415531188592888586125559323572 absolute error = 0.1328170583061586896138400325363 relative error = 7.3430867666530550273725203560133 % h = 0.001 y1[1] (analytic) = 1.5881717303313750496797307045275 y1[1] (numeric) = 1.556458248539309064178152478271 absolute error = 0.0317134817920659855015782262565 relative error = 1.9968546969066693598476100995302 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3078.5MB, alloc=4.7MB, time=167.02 x[1] = 0.943 y2[1] (analytic) = 1.8093238278174363479975793948635 y2[1] (numeric) = 1.9425521690978888037572321871432 absolute error = 0.1332283412804524557596527922797 relative error = 7.3634326388750464904572786347042 % h = 0.001 y1[1] (analytic) = 1.5873627003197705976638754015769 y1[1] (numeric) = 1.5555161958952464665065556222819 absolute error = 0.031846504424524131157319779295 relative error = 2.0062525356119761056214001136046 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.944 y2[1] (analytic) = 1.8099107857579821532101648903185 y2[1] (numeric) = 1.9435512183283837177008901023152 absolute error = 0.1336404325704015644907252119967 relative error = 7.3838132587531698565468402977508 % h = 0.001 y1[1] (analytic) = 1.58655308294551477276748418594 y1[1] (numeric) = 1.5545731442014493214276170273729 absolute error = 0.0319799387440654513398671585671 relative error = 2.0156866535277283749942601265934 % h = 0.001 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.7MB, time=167.23 NO POLE NO POLE x[1] = 0.945 y2[1] (analytic) = 1.8104969337878096930038272553123 y2[1] (numeric) = 1.9445502665507738662346580442134 absolute error = 0.1340533327629641732308307889011 relative error = 7.4042286546437879106520504878481 % h = 0.001 y1[1] (analytic) = 1.5857428790182248817782696816264 y1[1] (numeric) = 1.5536290934589257338396287761676 absolute error = 0.0321137855592991479386409054588 relative error = 2.0251571666638438323513520893383 % h = 0.001 TOP MAIN SOLVE Loop memory used=3086.1MB, alloc=4.7MB, time=167.44 NO POLE NO POLE x[1] = 0.946 y2[1] (analytic) = 1.8110822713207709863966942202884 y2[1] (numeric) = 1.945549313765059514988529528563 absolute error = 0.1344670424442885285918353082746 relative error = 7.4246788549382422280949558859635 % h = 0.001 y1[1] (analytic) = 1.5849320893481047844691311875929 y1[1] (numeric) = 1.5526840436686838083751723761232 absolute error = 0.0322480456794209760939588114697 relative error = 2.0346641913651237012677239493755 % h = 0.001 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.7MB, time=167.65 NO POLE NO POLE x[1] = 0.947 y2[1] (analytic) = 1.8116667977715285492055985132169 y2[1] (numeric) = 1.9465483599712409294311925146664 absolute error = 0.1348815621997123802255940014495 relative error = 7.4451638880629557232009451399885 % h = 0.001 y1[1] (analytic) = 1.5841207147459440833943624218299 y1[1] (numeric) = 1.5517379948317316494012799797337 absolute error = 0.0323827199142124339930824420962 relative error = 2.0442078443122855677873238326433 % h = 0.001 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.7MB, time=167.86 NO POLE NO POLE x[1] = 0.948 y2[1] (analytic) = 1.8122505125555559793835132646391 y2[1] (numeric) = 1.9475474051693183748698586997678 absolute error = 0.1352968926137623954863454351287 relative error = 7.465683782479535193030484038875 % h = 0.001 y1[1] (analytic) = 1.5833087560231173131001165328662 y1[1] (numeric) = 1.5507909469490773610195957754393 absolute error = 0.0325178090740399520805207574269 relative error = 2.053788242522999817357375549138 % h = 0.001 TOP MAIN SOLVE Loop memory used=3097.6MB, alloc=4.7MB, time=168.07 NO POLE NO POLE x[1] = 0.949 y2[1] (analytic) = 1.8128334150891385415459053441629 y2[1] (numeric) = 1.9485464493592921164500928135902 absolute error = 0.1357130342701535749041874694273 relative error = 7.4862385666848738569394410898597 % h = 0.001 y1[1] (analytic) = 1.5824962139915831287499391681575 y1[1] (numeric) = 1.5498429000217290470665375492414 absolute error = 0.0326533139698540816834016189161 relative error = 2.0634055033529297194252563722894 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3101.4MB, alloc=4.7MB, time=168.27 x[1] = 0.95 y2[1] (analytic) = 1.8134155047893737506854221021026 y2[1] (numeric) = 1.9495454925411624191556419130443 absolute error = 0.1361299877517886684702198109417 relative error = 7.506828269211253892755588822978 % h = 0.001 y1[1] (analytic) = 1.5816830894638834941661809737605 y1[1] (numeric) = 1.5488938540506948111134584170224 absolute error = 0.0327892354131886830527225567381 relative error = 2.0730597444967751737654452771778 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.951 y2[1] (analytic) = 1.8139967810741719550743278016264 y2[1] (numeric) = 1.9505445347149295478082646771101 absolute error = 0.1365477536407575927339368754837 relative error = 7.5274529186264489703574666300596 % h = 0.001 y1[1] (analytic) = 1.5808693832531428692881014838095 y1[1] (numeric) = 1.5479438090369827564668087275714 absolute error = 0.0329255742161601128212927562381 relative error = 2.0827510839893201326648221147595 % h = 0.001 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.7MB, time=168.48 NO POLE NO POLE x[1] = 0.952 y2[1] (analytic) = 1.8145772433622569183541068390228 y2[1] (numeric) = 1.9515435758805937670675607018902 absolute error = 0.1369663325183368487134538628674 relative error = 7.5481125435338267834404022083539 % h = 0.001 y1[1] (analytic) = 1.580055096173067397047476941627 y1[1] (numeric) = 1.5469927649816009861682981363145 absolute error = 0.0330623311914664108791788053125 relative error = 2.0924796402064837131555970240404 % h = 0.001 TOP MAIN SOLVE Loop memory used=3109.0MB, alloc=4.7MB, time=168.69 NO POLE NO POLE x[1] = 0.953 y2[1] (analytic) = 1.815156891073166400811651662531 y2[1] (numeric) = 1.952542616038155341430799795836 absolute error = 0.137385724964988940619148133305 relative error = 7.5688071725724515802531106850772 % h = 0.001 y1[1] (analytic) = 1.5792402290379440896625251767901 y1[1] (numeric) = 1.54604072188555760299505784975 absolute error = 0.0331995071523864866674673270401 relative error = 2.1022455318663750135464362222327 % h = 0.001 TOP MAIN SOLVE Loop memory used=3112.8MB, alloc=4.7MB, time=168.90 NO POLE NO POLE x[1] = 0.954 y2[1] (analytic) = 1.8157357236272527398414541135974 y2[1] (numeric) = 1.9535416551876145352327512751455 absolute error = 0.1378059315603617953912971615481 relative error = 7.5895368344171866940869232117048 % h = 0.001 y1[1] (analytic) = 1.5784247826626400143509612441614 y1[1] (numeric) = 1.5450876797498607094598030405885 absolute error = 0.0333371029127793048911582035729 relative error = 2.1120488780303516485639266569102 % h = 0.001 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.7MB, time=169.10 NO POLE NO POLE x[1] = 0.955 y2[1] (analytic) = 1.8163137404456834295932197284128 y2[1] (numeric) = 1.9545406933289716126455132593339 absolute error = 0.1382269528832881830522935309211 relative error = 7.6103015577787970742983402004637 % h = 0.001 y1[1] (analytic) = 1.5776087578626014784629981117605 y1[1] (numeric) = 1.5441336385755184078109954335974 absolute error = 0.0334751192870830706520026781631 relative error = 2.1218897981040820174783893522175 % h = 0.001 TOP MAIN SOLVE Loop memory used=3120.4MB, alloc=4.7MB, time=169.31 NO POLE NO POLE x[1] = 0.956 y2[1] (analytic) = 1.8168909409504416998043253521668 y2[1] (numeric) = 1.9555397304622268376783419669761 absolute error = 0.1386487895117851378740166148093 relative error = 7.6311013714040518186442583928337 % h = 0.001 y1[1] (analytic) = 1.5767921554538532140351072644082 y1[1] (numeric) = 1.5431785983635388000330060621496 absolute error = 0.0336135570903144140021012022586 relative error = 2.1317684118386113196502111413971 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.957 y2[1] (analytic) = 1.8174673245643270938165412336083 y2[1] (numeric) = 1.9565387665873804741774810116216 absolute error = 0.1390714420230533803609397780133 relative error = 7.6519363040758267077078855666817 % h = 0.001 y1[1] (analytic) = 1.5759749762529975617653546693133 y1[1] (numeric) = 1.5422225591149299878462781954765 absolute error = 0.0337524171380675739190764738368 relative error = 2.1416848393314313319953183660617 % h = 0.001 TOP MAIN SOLVE Loop memory used=3124.3MB, alloc=4.7MB, time=169.52 NO POLE NO POLE x[1] = 0.958 y2[1] (analytic) = 1.8180428907109560457764395832387 y2[1] (numeric) = 1.9575378017044327858259906978817 absolute error = 0.139494910993476740049551114643 relative error = 7.672806384613206742192031868161 % h = 0.001 y1[1] (analytic) = 1.5751572210772136544111281281996 y1[1] (numeric) = 1.5412655208307000727074904366251 absolute error = 0.0338917002465135817036376915745 relative error = 2.1516392010275539629311655639552 % h = 0.001 TOP MAIN SOLVE Loop memory used=3128.1MB, alloc=4.7MB, time=169.73 NO POLE NO POLE x[1] = 0.959 y2[1] (analytic) = 1.8186176388147624570189123947776 y2[1] (numeric) = 1.9585368358133840361435773176886 absolute error = 0.139919196998621579124664922911 relative error = 7.6937116418715886838551524620552 % h = 0.001 y1[1] (analytic) = 1.5743388907442565996100726181766 y1[1] (numeric) = 1.5403074835118571558097199911188 absolute error = 0.0340314072323994438003526270578 relative error = 2.1616316177205885974276586938815 % h = 0.001 TOP MAIN SOLVE Loop memory used=3131.9MB, alloc=4.7MB, time=169.94 NO POLE NO POLE x[1] = 0.96 y2[1] (analytic) = 1.8191915683009982716332221464304 y2[1] (numeric) = 1.9595358689142344884864224467275 absolute error = 0.1403443006132362168532003002971 relative error = 7.7146521047427836008642123946969 % h = 0.001 y1[1] (analytic) = 1.5735199860724566621250508003519 y1[1] (numeric) = 1.5393484471594093380826061063218 absolute error = 0.0341715389130473240424446940301 relative error = 2.1716622105538232478507776015048 % h = 0.001 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.7MB, time=170.15 NO POLE NO POLE x[1] = 0.961 y2[1] (analytic) = 1.8197646785957340512110098159569 y2[1] (numeric) = 1.96053490100698440604701224104 absolute error = 0.1407702224112503548360024250831 relative error = 7.7356278021551194183371512214787 % h = 0.001 y1[1] (analytic) = 1.5727005078807184455139464511542 y1[1] (numeric) = 1.5383884117743647201925136815072 absolute error = 0.034312096106353725321432769647 relative error = 2.1817311010213095253503077626509 % h = 0.001 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.7MB, time=170.36 NO POLE NO POLE x[1] = 0.962 y2[1] (analytic) = 1.820336969125859548775685461578 y2[1] (numeric) = 1.9615339320916340518539667338006 absolute error = 0.1411969629657745030782812722226 relative error = 7.7566387630735434748464420328591 % h = 0.001 y1[1] (analytic) = 1.5718804569885200732251291464982 y1[1] (numeric) = 1.5374273773577314025426970486281 absolute error = 0.0344530796307886706824320978701 relative error = 2.1918384109689514466070384118022 % h = 0.001 TOP MAIN SOLVE Loop memory used=3143.3MB, alloc=4.7MB, time=170.66 NO POLE NO POLE x[1] = 0.963 y2[1] (analytic) = 1.8209084393190842818926274393802 y2[1] (numeric) = 1.9625329621681836887718691322648 absolute error = 0.1416245228490994068792416928846 relative error = 7.7776850164997250856539669824785 % h = 0.001 y1[1] (analytic) = 1.5710598342159123691193991032558 y1[1] (numeric) = 1.536465343910517485273463923792 absolute error = 0.0345944903053948838459351794638 relative error = 2.2019842625955980908190345392549 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.964 y2[1] (analytic) = 1.8214790886039381049596171470655 y2[1] (numeric) = 1.96353199123663357950109511489 absolute error = 0.1420529026326954745414779678245 relative error = 7.7987665914721581134461692461049 % h = 0.001 y1[1] (analytic) = 1.5702386403835180374192316560228 y1[1] (numeric) = 1.5355023114337310682623395294385 absolute error = 0.0347363289497869691568921265843 relative error = 2.2121687784541401218711454992432 % h = 0.001 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.7MB, time=171.16 NO POLE NO POLE x[1] = 0.965 y2[1] (analytic) = 1.8220489164097717806769370036593 y2[1] (numeric) = 1.9645310192969839865776421286282 absolute error = 0.1424821028872122059007051249689 relative error = 7.81988351706626354733718948528 % h = 0.001 y1[1] (analytic) = 1.5694168763125308420861414198663 y1[1] (numeric) = 1.534538279928380251124230887219 absolute error = 0.0348785963841505909619105326473 relative error = 2.2223920814526101906967746976985 % h = 0.001 TOP MAIN SOLVE Loop memory used=3151.0MB, alloc=4.7MB, time=171.67 NO POLE NO POLE x[1] = 0.966 y2[1] (analytic) = 1.8226179221667575506965601951263 y2[1] (numeric) = 1.9655300463492351723729586863913 absolute error = 0.142912124182477621676398491265 relative error = 7.841035822394492090906453321645 % h = 0.001 y1[1] (analytic) = 1.5685945428247147856269867616215 y1[1] (numeric) = 1.5335732493954731332115912815799 absolute error = 0.0350212934292416524153954800416 relative error = 2.2326542948552872329061046175749 % h = 0.001 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.7MB, time=172.16 NO POLE NO POLE x[1] = 0.967 y2[1] (analytic) = 1.8231861053058897054498615367527 y2[1] (numeric) = 1.9665290723933873990937736646884 absolute error = 0.1433429670874976936439121279357 relative error = 7.8622235366064267600359450130668 % h = 0.001 y1[1] (analytic) = 1.5677716407424032873300357733647 y1[1] (numeric) = 1.5326072198360178136145848940475 absolute error = 0.0351644209063854737154508793172 relative error = 2.2429555422838046768204508953627 % h = 0.001 TOP MAIN SOLVE Loop memory used=3158.6MB, alloc=4.7MB, time=172.66 NO POLE NO POLE x[1] = 0.968 y2[1] (analytic) = 1.8237534652589851531532796246302 y2[1] (numeric) = 1.9675280974294409287819256014354 absolute error = 0.1437746321704557756286459768052 relative error = 7.8834466888888854913111814278517 % h = 0.001 y1[1] (analytic) = 1.5669481708884983609316155119276 y1[1] (numeric) = 1.5316401912510223911612516082157 absolute error = 0.0353079796374759697703639037119 relative error = 2.2532959477182625771182098968297 % h = 0.001 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.7MB, time=173.15 NO POLE NO POLE x[1] = 0.969 y2[1] (analytic) = 1.8243200014586839879913612706282 y2[1] (numeric) = 1.968527121457396023314191993937 absolute error = 0.1442071199987120353228307233088 relative error = 7.9047053084660237617486895048639 % h = 0.001 y1[1] (analytic) = 1.5661241340864697917141668377364 y1[1] (numeric) = 1.5306721636414949644176719854357 absolute error = 0.0354519704449748272964948523007 relative error = 2.2636756354983436893639678757034 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3166.2MB, alloc=4.7MB, time=173.66 x[1] = 0.97 y2[1] (analytic) = 1.8248857133384500574766200378563 y2[1] (numeric) = 1.9695261444772529444021185970408 absolute error = 0.1446404311388028869254985591845 relative error = 7.9259994245994372206115896328268 % h = 0.001 y1[1] (analytic) = 1.5652995311603543130365277548499 y1[1] (numeric) = 1.5297031370084436316881324112072 absolute error = 0.0355963941519106813483953436427 relative error = 2.2740947303244335007587579660029 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.971 y2[1] (analytic) = 1.8254506003325715289856415168064 y2[1] (numeric) = 1.9705251664890119535918487214638 absolute error = 0.1450745661564404246062072046574 relative error = 7.9473290665882643340736967483741 % h = 0.001 y1[1] (analytic) = 1.5644743629347547822972687218476 y1[1] (numeric) = 1.5287331113528764910152904122721 absolute error = 0.0357412515818782912819783095755 relative error = 2.2845533572587442325161855981796 % h = 0.001 TOP MAIN SOLVE Loop memory used=3170.0MB, alloc=4.7MB, time=174.15 NO POLE NO POLE x[1] = 0.972 y2[1] (analytic) = 1.8260146618761614554708688061158 y2[1] (numeric) = 1.9715241874926733122639525322909 absolute error = 0.1455095256165118567930837261751 relative error = 7.9686942637692890434913704072205 % h = 0.001 y1[1] (analytic) = 1.5636486302348393563319039701617 y1[1] (numeric) = 1.5277620866758016401803401444093 absolute error = 0.0358865435590377161515638257524 relative error = 2.295051641726442829336195089694 % h = 0.001 TOP MAIN SOLVE Loop memory used=3173.8MB, alloc=4.7MB, time=174.64 NO POLE NO POLE x[1] = 0.973 y2[1] (analytic) = 1.8265778974051583403475024862134 y2[1] (numeric) = 1.972523207488237281633256347646 absolute error = 0.1459453100830789412857538614326 relative error = 7.9900950455170434380411745937145 % h = 0.001 y1[1] (analytic) = 1.5628223338863406662448034325732 y1[1] (numeric) = 1.5267900629782271767031780509307 absolute error = 0.0360322709081134895416253816425 relative error = 2.3055897095167829515156218015417 % h = 0.001 TOP MAIN SOLVE Loop memory used=3177.7MB, alloc=4.7MB, time=175.13 NO POLE NO POLE x[1] = 0.974 y2[1] (analytic) = 1.8271403063563267015549501989961 y2[1] (numeric) = 1.9735222264757041227486719375349 absolute error = 0.1463819201193774211937217385388 relative error = 8.0115314412439104424802475688967 % h = 0.001 y1[1] (analytic) = 1.5619954747155549916766304498929 y1[1] (numeric) = 1.5258170402611611978425686918792 absolute error = 0.0361784344543937938340617580137 relative error = 2.3161676867842409853023670414642 % h = 0.001 TOP MAIN SOLVE Loop memory used=3181.5MB, alloc=4.7MB, time=175.63 NO POLE NO POLE x[1] = 0.975 y2[1] (analytic) = 1.8277018881672576347922617721328 y2[1] (numeric) = 1.9745212444550740964930258228611 absolute error = 0.1468193562878164617007640507283 relative error = 8.0330034804002265207851315843082 % h = 0.001 y1[1] (analytic) = 1.5611680535493414345081309883184 y1[1] (numeric) = 1.524843018525611800596310743927 absolute error = 0.0363250350237296339118202443914 relative error = 2.3267857000496560871680485096609 % h = 0.001 TOP MAIN SOLVE Loop memory used=3185.3MB, alloc=4.7MB, time=176.15 NO POLE NO POLE x[1] = 0.976 y2[1] (analytic) = 1.8282626422763693759269866526067 y2[1] (numeric) = 1.975520261426347463582888574613 absolute error = 0.1472576191499780876559019220063 relative error = 8.0545111924743843964236717761395 % h = 0.001 y1[1] (analytic) = 1.5603400712151210920011006636116 y1[1] (numeric) = 1.5238679977725870817014031709754 absolute error = 0.0364720734425340102996974926362 relative error = 2.3374438762013742777423192111771 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3189.1MB, alloc=4.7MB, time=176.65 x[1] = 0.977 y2[1] (analytic) = 1.8288225681229078625768912406878 y2[1] (numeric) = 1.9765192773895244845684041132243 absolute error = 0.1476967092666166219915128725365 relative error = 8.0760546069929357900134629706219 % h = 0.001 y1[1] (analytic) = 1.5595115285408762293773564310583 y1[1] (numeric) = 1.5228919780030951376342115654547 absolute error = 0.0366195505377810917431448656036 relative error = 2.3481423424963966012207140969733 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.978 y2[1] (analytic) = 1.8293816651469472948639745426626 y2[1] (numeric) = 1.9775182923446054198331190081057 absolute error = 0.1481366271976581249691444654431 relative error = 8.0976337535206941751192024456129 % h = 0.001 y1[1] (analytic) = 1.5586824263551494518365403621718 y1[1] (numeric) = 1.5219149592181440646106346603253 absolute error = 0.0367674671370053872259057018465 relative error = 2.3588812265615313661268779498401 % h = 0.001 TOP MAIN SOLVE Loop memory used=3192.9MB, alloc=4.7MB, time=177.15 NO POLE NO POLE x[1] = 0.979 y2[1] (analytic) = 1.8299399327893906953402213883531 y2[1] (numeric) = 1.9785173062915905295938117773497 absolute error = 0.1485773735021998342535903889966 relative error = 8.1192486616608375529401958738218 % h = 0.001 y1[1] (analytic) = 1.5578527654870428760135834902649 y1[1] (numeric) = 1.5209369414187419585862710117788 absolute error = 0.0369158240683009174273124784861 relative error = 2.3696606563945504833793519171245 % h = 0.001 TOP MAIN SOLVE Loop memory used=3196.7MB, alloc=4.7MB, time=177.64 NO POLE NO POLE x[1] = 0.98 y2[1] (analytic) = 1.8304973704919704680845332877192 y2[1] (numeric) = 1.9795163192304800739003221876071 absolute error = 0.1490189487385096058157888998879 relative error = 8.1408993610550112466381626891139 % h = 0.001 y1[1] (analytic) = 1.5570225467662173008766582673599 y1[1] (numeric) = 1.5199579246058969152565858526393 absolute error = 0.0370646221603203856200724147206 relative error = 2.3804807603653499176827513361598 % h = 0.001 TOP MAIN SOLVE Loop memory used=3200.5MB, alloc=4.7MB, time=178.13 NO POLE NO POLE x[1] = 0.981 y2[1] (analytic) = 1.8310539776972489569702778296585 y2[1] (numeric) = 1.9805153311612743126353805541359 absolute error = 0.1494613534640253556651027244774 relative error = 8.1625858813834307160543959386965 % h = 0.001 y1[1] (analytic) = 1.5561917710228913780664487344139 y1[1] (numeric) = 1.518977908780617030057078116465 absolute error = 0.0372138622422743480093706179489 relative error = 2.3913416672171142683331558349222 % h = 0.001 TOP MAIN SOLVE Loop memory used=3204.4MB, alloc=4.7MB, time=178.62 NO POLE NO POLE x[1] = 0.982 y2[1] (analytic) = 1.831609753848619003102898355503 y2[1] (numeric) = 1.9815143420839735055144370410225 absolute error = 0.1499045882353545024115386855195 relative error = 8.184308252364984393564250279287 % h = 0.001 y1[1] (analytic) = 1.5553604390878407816775680655199 y1[1] (numeric) = 1.5179968939439103981634476323494 absolute error = 0.0373635451439303835141204331705 relative error = 2.4022435060674854955978558659332 % h = 0.001 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.7MB, time=179.12 NO POLE NO POLE x[1] = 0.983 y2[1] (analytic) = 1.8321646983903045014270264696466 y2[1] (numeric) = 1.9825133519985779120854909615753 absolute error = 0.1503486536082734106584644919287 relative error = 8.206066503757336541815860115455 % h = 0.001 y1[1] (analytic) = 1.5545285517923973774829537045974 y1[1] (numeric) = 1.5170148800967851144917624904221 absolute error = 0.0375136716956122629911912141753 relative error = 2.4131864064097358089002596005937 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3212.0MB, alloc=4.7MB, time=179.61 x[1] = 0.984 y2[1] (analytic) = 1.8327188107673609565025407802402 y2[1] (numeric) = 1.9835123609050877917289200788901 absolute error = 0.1507935501377268352263792986499 relative error = 8.2278606653570301340989279318254 % h = 0.001 y1[1] (analytic) = 1.5536961099684483916020708701086 y1[1] (numeric) = 1.5160318672402492736986265780498 absolute error = 0.0376642427281991179034442920588 relative error = 2.4241704981139447331117622393067 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.985 y2[1] (analytic) = 1.8332720904256760374490160939396 y2[1] (numeric) = 1.9845113688035034036573099065882 absolute error = 0.1512392783778273662082938126486 relative error = 8.2496907669995897580883706092986 % h = 0.001 y1[1] (analytic) = 1.5528631144484355786137557595258 y1[1] (numeric) = 1.5150478553753109701813472867356 absolute error = 0.0378152590731246084324084727902 relative error = 2.4351959114281803693237180552937 % h = 0.001 TOP MAIN SOLVE Loop memory used=3215.8MB, alloc=4.7MB, time=180.14 NO POLE NO POLE x[1] = 0.986 y2[1] (analytic) = 1.8338245368119701320580081203051 y2[1] (numeric) = 1.9855103756938250069152830097266 absolute error = 0.1516858388818548748572748894215 relative error = 8.2715568385596245437065689077052 % h = 0.001 y1[1] (analytic) = 1.5520295660653543891145303406393 y1[1] (numeric) = 1.5140628445029782980781033897185 absolute error = 0.0379667215623760910364269509208 relative error = 2.4462627769796848665443356721941 % h = 0.001 TOP MAIN SOLVE Loop memory used=3219.6MB, alloc=4.7MB, time=180.69 NO POLE NO POLE x[1] = 0.987 y2[1] (analytic) = 1.8343761493737969000726195736126 y2[1] (numeric) = 1.9865093815760528603793283058803 absolute error = 0.1521332322022559603067087322677 relative error = 8.2934589099509311158469323151555 % h = 0.001 y1[1] (analytic) = 1.5511954656527531367232211713211 y1[1] (numeric) = 1.5130768346242593512681130902711 absolute error = 0.03811863102849378545510808105 relative error = 2.4573712257760641208373409730861 % h = 0.001 TOP MAIN SOLVE Loop memory used=3223.4MB, alloc=4.7MB, time=181.22 NO POLE NO POLE x[1] = 0.988 y2[1] (analytic) = 1.8349269275595438256337943925575 y2[1] (numeric) = 1.9875083864501872227576303663971 absolute error = 0.1525814588906433971238359738396 relative error = 8.3153970111265965727004680774941 % h = 0.001 y1[1] (analytic) = 1.5503608140447321645327152430547 y1[1] (numeric) = 1.5120898257401622233718022406966 absolute error = 0.0382709883045699411609130023581 relative error = 2.4685213892064817184916214567576 % h = 0.001 TOP MAIN SOLVE Loop memory used=3227.3MB, alloc=4.7MB, time=181.72 NO POLE NO POLE x[1] = 0.989 y2[1] (analytic) = 1.8354768708184327688927876316028 y2[1] (numeric) = 1.9885073903162283525898987178246 absolute error = 0.1530305194977955836971110862218 relative error = 8.3373711720791014904260294012333 % h = 0.001 y1[1] (analytic) = 1.5495256120759430110096863964084 y1[1] (numeric) = 1.5111018178516950077509727320244 absolute error = 0.038423794224248003258713664384 relative error = 2.4797133990428571398837826129408 % h = 0.001 TOP MAIN SOLVE Loop memory used=3231.1MB, alloc=4.7MB, time=182.21 NO POLE NO POLE x[1] = 0.99 y2[1] (analytic) = 1.8360259786005205167892594115471 y2[1] (numeric) = 1.9895063931741765082471971435092 absolute error = 0.1534804145736559914579377319621 relative error = 8.359381422840422954903913540914 % h = 0.001 y1[1] (analytic) = 1.5486898605815875753431264086536 y1[1] (numeric) = 1.510112810959865797508971054404 absolute error = 0.0385770496217217778341553542496 relative error = 2.4909473874410682407686128068302 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3234.9MB, alloc=4.7MB, time=182.69 x[1] = 0.991 y2[1] (analytic) = 1.8365742503566993329944421512648 y2[1] (numeric) = 1.9905053950240319479317729853676 absolute error = 0.1539311446673326149373308341028 relative error = 8.3814277934821376213114857083536 % h = 0.001 y1[1] (analytic) = 1.5478535603974172822425154049293 y1[1] (numeric) = 1.5091228050656826854908570281974 absolute error = 0.0387307553317345967516583767319 relative error = 2.5022234869421580278058700827005 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.992 y2[1] (analytic) = 1.8371216855386975070188311374976 y2[1] (numeric) = 1.9915043958657949296768864458306 absolute error = 0.154382710327097422658055308333 relative error = 8.4035103141155248022585194481219 % h = 0.001 y1[1] (analytic) = 1.5470167123597322461864667947115 y1[1] (numeric) = 1.5081318001701537642835727057695 absolute error = 0.038884912189578481902894088942 relative error = 2.5135418304735457452055740631144 % h = 0.001 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.7MB, time=183.19 NO POLE NO POLE x[1] = 0.993 y2[1] (analytic) = 1.8376682835990799024838493250508 y2[1] (numeric) = 1.9925033956994657113466398899589 absolute error = 0.1548351121003858088627905649081 relative error = 8.4256290148916695852189682826979 % h = 0.001 y1[1] (analytic) = 1.5461793173053804351226824848735 y1[1] (numeric) = 1.5071397962742871262161114439766 absolute error = 0.0390395210310933089065710408969 relative error = 2.5249025513502422894481105925438 % h = 0.001 TOP MAIN SOLVE Loop memory used=3242.5MB, alloc=4.7MB, time=183.69 NO POLE NO POLE x[1] = 0.994 y2[1] (analytic) = 1.8382140439912485045569380957782 y2[1] (numeric) = 1.9935023945250445506358071477314 absolute error = 0.1552883505337960460788690519532 relative error = 8.4477839260015659799949170134262 % h = 0.001 y1[1] (analytic) = 1.5453413760717568336200546693127 y1[1] (numeric) = 1.5061467933790908633596871473527 absolute error = 0.03919458269266597026036752196 relative error = 2.5363057832760699691099378203701 % h = 0.001 TOP MAIN SOLVE Loop memory used=3246.3MB, alloc=4.7MB, time=184.18 NO POLE NO POLE x[1] = 0.995 y2[1] (analytic) = 1.8387589661694429665495265413068 y2[1] (numeric) = 1.9945013923425317050696628165057 absolute error = 0.1557424261730887385201362751989 relative error = 8.469975077676220096947504042574 % h = 0.001 y1[1] (analytic) = 1.5445028894968026054737510429714 y1[1] (numeric) = 1.5051527914855730675279036819932 absolute error = 0.0393500980112295379458473609782 relative error = 2.5477516603448866269005219172663 % h = 0.001 TOP MAIN SOLVE Loop memory used=3250.1MB, alloc=4.7MB, time=184.67 NO POLE NO POLE x[1] = 0.996 y2[1] (analytic) = 1.8393030495887411556773326715804 y2[1] (numeric) = 1.9955003891519274320038115636505 absolute error = 0.1561973395631862763264788920701 relative error = 8.4922025001867533567286584283894 % h = 0.001 y1[1] (analytic) = 1.5436638584190042557641208350967 y1[1] (numeric) = 1.5041577905947418302769244601364 absolute error = 0.0395060678242624254871963749603 relative error = 2.5592403170418141410913304609626 % h = 0.001 TOP MAIN SOLVE Loop memory used=3254.0MB, alloc=4.7MB, time=185.17 NO POLE NO POLE x[1] = 0.997 y2[1] (analytic) = 1.839846293705059697982450788966 y2[1] (numeric) = 1.9964993849532319886240174293509 absolute error = 0.1566530912481722906415666403849 relative error = 8.5144662238445057322465570728832 % h = 0.001 y1[1] (analytic) = 1.5428242836773927923702596027651 y1[1] (numeric) = 1.5031617907076052429056421954419 absolute error = 0.0396624929697875494646174073232 relative error = 2.570771888244471323593273613082 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.998 y2[1] (analytic) = 1.8403886979751545224166801058793 y2[1] (numeric) = 1.9974983797464456319460331295855 absolute error = 0.1571096817712911095293530237062 relative error = 8.5367662790011390235967784427269 % h = 0.001 y1[1] (analytic) = 1.5419841661115428869390712710343 y1[1] (numeric) = 1.5021647918251713964558488289665 absolute error = 0.0398193742863714904832224420678 memory used=3257.8MB, alloc=4.7MB, time=185.66 relative error = 2.5823465092242112320149094489595 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.999 y2[1] (analytic) = 1.8409302618566214040855505226477 y2[1] (numeric) = 1.9984973735315686188154293592755 absolute error = 0.1575671116749472147298788366278 relative error = 8.5591026960487401666902095101778 % h = 0.001 y1[1] (analytic) = 1.5411435065615720353106664505939 y1[1] (numeric) = 1.5011667939484483817124056258368 absolute error = 0.0399767126131236535982608247571 relative error = 2.5939643156473629131100221210041 % h = 0.001 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.7MB, time=186.15 NO POLE NO POLE x[1] = 1 y2[1] (analytic) = 1.8414709848078965066525023216303 y2[1] (numeric) = 1.999496366308601205907424095607 absolute error = 0.1580253815007046992549217739767 relative error = 8.5814755054199245763078521466333 % h = 0.001 y1[1] (analytic) = 1.540302305868139717400936607443 y1[1] (numeric) = 1.5001677970784442892034134426185 absolute error = 0.0401345087896954281975231648245 relative error = 2.6056254435764775950998418648529 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; Iterations = 1000 Total Elapsed Time = 3 Minutes 6 Seconds Elapsed Time(since restart) = 3 Minutes 6 Seconds Expected Time Remaining = 12 Minutes 24 Seconds Optimized Time Remaining = 12 Minutes 24 Seconds Time to Timeout = 11 Minutes 53 Seconds Percent Done = 20.02 % > quit memory used=3264.4MB, alloc=4.7MB, time=186.49