(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac
(%i3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%o3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%i4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%o4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%i5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
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))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
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))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%i7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%o7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%i8) atomall() := (array_tmp1_g : sin(array_x ),
1 1
array_tmp1 : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1 1 1
array_tmp3 : sin(array_x ), array_tmp3_g : cos(array_x ),
1 1 1 1
array_tmp4 : array_tmp3 + array_tmp2 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp4 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1_g : att(1, array_tmp1, array_x, 1),
2
array_tmp1 : - att(1, array_tmp1_g, array_x, 1),
2
array_tmp2 : array_tmp1 + array_const_0D0 ,
2 2 2
array_tmp3 : att(1, array_tmp3_g, array_x, 1),
2
array_tmp3_g : - att(1, array_tmp3, array_x, 1),
2
array_tmp4 : array_tmp3 + array_tmp2 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp4 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1_g : att(2, array_tmp1, array_x, 1),
3
array_tmp1 : - att(2, array_tmp1_g, array_x, 1),
3
array_tmp2 : array_tmp1 + array_const_0D0 ,
3 3 3
array_tmp3 : att(2, array_tmp3_g, array_x, 1),
3
array_tmp3_g : - att(2, array_tmp3, array_x, 1),
3
array_tmp4 : array_tmp3 + array_tmp2 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp4 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1_g : att(3, array_tmp1, array_x, 1),
4
array_tmp1 : - att(3, array_tmp1_g, array_x, 1),
4
array_tmp2 : array_tmp1 + array_const_0D0 ,
4 4 4
array_tmp3 : att(3, array_tmp3_g, array_x, 1),
4
array_tmp3_g : - att(3, array_tmp3, array_x, 1),
4
array_tmp4 : array_tmp3 + array_tmp2 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp4 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1_g : att(4, array_tmp1, array_x, 1),
5
array_tmp1 : - att(4, array_tmp1_g, array_x, 1),
5
array_tmp2 : array_tmp1 + array_const_0D0 ,
5 5 5
array_tmp3 : att(4, array_tmp3_g, array_x, 1),
5
array_tmp3_g : - att(4, array_tmp3, array_x, 1),
5
array_tmp4 : array_tmp3 + array_tmp2 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp4 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1_g :
kkk
att(kkk - 1, array_tmp1, array_x, 1), array_tmp1 :
kkk
- att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp2 : array_tmp1 + array_const_0D0 ,
kkk kkk kkk
array_tmp3 : att(kkk - 1, array_tmp3_g, array_x, 1),
kkk
array_tmp3_g : - att(kkk - 1, array_tmp3, array_x, 1),
kkk
array_tmp4 : array_tmp3 + array_tmp2 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp4 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
(%o8) atomall() := (array_tmp1_g : sin(array_x ),
1 1
array_tmp1 : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1 1 1
array_tmp3 : sin(array_x ), array_tmp3_g : cos(array_x ),
1 1 1 1
array_tmp4 : array_tmp3 + array_tmp2 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp4 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1_g : att(1, array_tmp1, array_x, 1),
2
array_tmp1 : - att(1, array_tmp1_g, array_x, 1),
2
array_tmp2 : array_tmp1 + array_const_0D0 ,
2 2 2
array_tmp3 : att(1, array_tmp3_g, array_x, 1),
2
array_tmp3_g : - att(1, array_tmp3, array_x, 1),
2
array_tmp4 : array_tmp3 + array_tmp2 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp4 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1_g : att(2, array_tmp1, array_x, 1),
3
array_tmp1 : - att(2, array_tmp1_g, array_x, 1),
3
array_tmp2 : array_tmp1 + array_const_0D0 ,
3 3 3
array_tmp3 : att(2, array_tmp3_g, array_x, 1),
3
array_tmp3_g : - att(2, array_tmp3, array_x, 1),
3
array_tmp4 : array_tmp3 + array_tmp2 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp4 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1_g : att(3, array_tmp1, array_x, 1),
4
array_tmp1 : - att(3, array_tmp1_g, array_x, 1),
4
array_tmp2 : array_tmp1 + array_const_0D0 ,
4 4 4
array_tmp3 : att(3, array_tmp3_g, array_x, 1),
4
array_tmp3_g : - att(3, array_tmp3, array_x, 1),
4
array_tmp4 : array_tmp3 + array_tmp2 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp4 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1_g : att(4, array_tmp1, array_x, 1),
5
array_tmp1 : - att(4, array_tmp1_g, array_x, 1),
5
array_tmp2 : array_tmp1 + array_const_0D0 ,
5 5 5
array_tmp3 : att(4, array_tmp3_g, array_x, 1),
5
array_tmp3_g : - att(4, array_tmp3, array_x, 1),
5
array_tmp4 : array_tmp3 + array_tmp2 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp4 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1_g :
kkk
att(kkk - 1, array_tmp1, array_x, 1), array_tmp1 :
kkk
- att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp2 : array_tmp1 + array_const_0D0 ,
kkk kkk kkk
array_tmp3 : att(kkk - 1, array_tmp3_g, array_x, 1),
kkk
array_tmp3_g : - att(kkk - 1, array_tmp3, array_x, 1),
kkk
array_tmp4 : array_tmp3 + array_tmp2 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp4 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
log(x)
(%i9) log10(x) := ---------
log(10.0)
log(x)
(%o9) log10(x) := ---------
log(10.0)
(%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, "| "),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%i21) mode_declare(ats, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o21) [ats]
(%i22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i23) mode_declare(att, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o23) [att]
(%i24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%o25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i29) log_revs(file, revs) := printf(file, revs)
(%o29) log_revs(file, revs) := printf(file, revs)
(%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%o31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%i32) logstart(file) := printf(file, "")
(%o32) logstart(file) := printf(file, "
")
(%i33) logend(file) := printf(file, "
~%")
(%o33) logend(file) := printf(file, "~%")
(%i34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%o34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%i35) mode_declare(comp_expect_sec, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o35) [comp_expect_sec]
(%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i37) mode_declare(comp_percent, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o37) [comp_percent]
(%i38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i39) mode_declare(factorial_1, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o39) [factorial_1]
(%i40) factorial_1(nnn) := nnn!
(%o40) factorial_1(nnn) := nnn!
(%i41) mode_declare(factorial_3, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o41) [factorial_3]
mmm2!
(%i42) factorial_3(mmm2, nnn2) := -----
nnn2!
mmm2!
(%o42) factorial_3(mmm2, nnn2) := -----
nnn2!
(%i43) convfp(mmm) := mmm
(%o43) convfp(mmm) := mmm
(%i44) convfloat(mmm) := mmm
(%o44) convfloat(mmm) := mmm
(%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%i46) arcsin(x) := asin(x)
(%o46) arcsin(x) := asin(x)
(%i47) arccos(x) := acos(x)
(%o47) arccos(x) := acos(x)
(%i48) arctan(x) := atan(x)
(%o48) arctan(x) := atan(x)
(%i49) exact_soln_y(x) := - cos(x) + sin(x) + 2.0
(%o49) exact_soln_y(x) := - cos(x) + sin(x) + 2.0
(%i50) mainprog() := (define_variable(INFO, 2, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmax, 1.0, float), define_variable(glob_h, 0.1, float),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_look_poles, false, boolean),
define_variable(djd_debug2, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_warned2, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(days_in_year, 365.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_html_log, true, boolean), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/addpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "max_terms : 30,"),
omniout_str(ALWAYS, "Digits : 32,"), 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 : 10.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_h : 0.0001 ,"),
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_y (x) := ("),
omniout_str(ALWAYS, "2.0 + sin(x) - cos(x) "), 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 : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0,
glob_log10_relerr : - 8.0, glob_hmax : 0.01, max_terms : 30, Digits : 32,
glob_max_terms : max_terms, glob_html_log : true,
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_tmp3_g, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_last_rel_error, 1 + max_terms),
array(array_tmp1_g, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_norms, 1 + max_terms), array(array_y_init, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2,
1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), term : 1,
while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp3_g : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_set_initial : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_tmp3_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 0.0, term : 1 + term),
term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, x_start : 0.0, x_end : 10.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4,
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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"),
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,
"2012-06-13T11:49:59-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "add"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 090 | "),
logitem_str(html_log_file, "add diffeq.max"),
logitem_str(html_log_file,
"add maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o50) mainprog() := (define_variable(INFO, 2, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmax, 1.0, float), define_variable(glob_h, 0.1, float),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_look_poles, false, boolean),
define_variable(djd_debug2, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_warned2, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(days_in_year, 365.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_html_log, true, boolean), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/addpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "max_terms : 30,"),
omniout_str(ALWAYS, "Digits : 32,"), 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 : 10.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_h : 0.0001 ,"),
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_y (x) := ("),
omniout_str(ALWAYS, "2.0 + sin(x) - cos(x) "), 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 : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0,
glob_log10_relerr : - 8.0, glob_hmax : 0.01, max_terms : 30, Digits : 32,
glob_max_terms : max_terms, glob_html_log : true,
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_tmp3_g, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_last_rel_error, 1 + max_terms),
array(array_tmp1_g, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_norms, 1 + max_terms), array(array_y_init, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2,
1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), term : 1,
while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp3_g : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_set_initial : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_tmp3_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 0.0, term : 1 + term),
term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, x_start : 0.0, x_end : 10.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4,
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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"),
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,
"2012-06-13T11:49:59-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "add"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 090 | "),
logitem_str(html_log_file, "add diffeq.max"),
logitem_str(html_log_file,
"add maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i51) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/addpostode.ode#################"
"diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"max_terms : 30,"
"Digits : 32,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : 0.0,"
"x_end : 10.0 ,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_h : 0.00001 ,"
"glob_look_poles : true,"
"glob_max_iter : 100,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_h : 0.0001 ,"
"glob_look_poles : true,"
"glob_max_iter : 1000,"
"glob_max_minutes : 15,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := ("
"2.0 + sin(x) - cos(x) "
");"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = 0.0 " "
y[1] (analytic) = 1. " "
y[1] (numeric) = 1. " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000E-4 " "
y[1] (analytic) = 1.0001000049998332 " "
y[1] (numeric) = 1.0001000049998334 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.220224015747988600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000E-4 " "
y[1] (analytic) = 1.0002000199986667 " "
y[1] (numeric) = 1.0002000199986667 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.00000000000000040000E-4 " "
y[1] (analytic) = 1.0003000449954995 " "
y[1] (numeric) = 1.0003000449954997 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.219780015365592800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.0000E-4 " "
y[1] (analytic) = 1.0004000799893324 " "
y[1] (numeric) = 1.0004000799893324 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.0000E-4 " "
y[1] (analytic) = 1.000500124979164 " "
y[1] (numeric) = 1.0005001249791643 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.21933610382762800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0000000000000010000E-4 " "
y[1] (analytic) = 1.0006001799639943 " "
y[1] (numeric) = 1.0006001799639948 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.43822836276166530000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.0000000000000010000E-4 " "
y[1] (analytic) = 1.0007002449428235 " "
y[1] (numeric) = 1.0007002449428235 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.0000000000000020000E-4 " "
y[1] (analytic) = 1.0008003199146498 " "
y[1] (numeric) = 1.0008003199146498 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.0000000000000020000E-4 " "
y[1] (analytic) = 1.0009004048784726 " "
y[1] (numeric) = 1.0009004048784729 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.218448547355633400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000000000000002000E-3 " "
y[1] (analytic) = 1.0010004998332915 " "
y[1] (numeric) = 1.001000499833292 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.43645342758592100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.1000000000000003000E-3 " "
y[1] (analytic) = 1.001100604778106 " "
y[1] (numeric) = 1.001100604778106 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.2000000000000004000E-3 " "
y[1] (analytic) = 1.0012007197119135 " "
y[1] (numeric) = 1.001200719711914 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.435566226698731700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.3000000000000003000E-3 " "
y[1] (analytic) = 1.0013008446337144 " "
y[1] (numeric) = 1.0013008446337146 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.217561346472821700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.4000000000000004000E-3 " "
y[1] (analytic) = 1.0014009795425065 " "
y[1] (numeric) = 1.001400979542507 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.43467920365872070000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.5000000000000005000E-3 " "
y[1] (analytic) = 1.0015011244372893 " "
y[1] (numeric) = 1.0015011244372893 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.6000000000000006000E-3 " "
y[1] (analytic) = 1.0016012793170606 " "
y[1] (numeric) = 1.0016012793170606 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.7000000000000007000E-3 " "
y[1] (analytic) = 1.0017014441808185 " "
y[1] (numeric) = 1.001701444180819 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.43334900263854900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.8000000000000005000E-3 " "
y[1] (analytic) = 1.0018016190275625 " "
y[1] (numeric) = 1.001801619027563 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.43290569125986200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.9000000000000006000E-3 " "
y[1] (analytic) = 1.0019018038562906 " "
y[1] (numeric) = 1.0019018038562908 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.21623121218454900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000000000000004000E-3 " "
y[1] (analytic) = 1.002001998666 " "
y[1] (numeric) = 1.0020019986660005 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.432019201970594500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.1000000000000002000E-3 " "
y[1] (analytic) = 1.0021022034556901 " "
y[1] (numeric) = 1.0021022034556901 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.2000E-3 " "
y[1] (analytic) = 1.0022024182243574 " "
y[1] (numeric) = 1.0022024182243578 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.431132890667670600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.3000E-3 " "
y[1] (analytic) = 1.0023026429710014 " "
y[1] (numeric) = 1.0023026429710014 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4000E-3 " "
y[1] (analytic) = 1.002402877694618 " "
y[1] (numeric) = 1.0024028776946183 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.21512337869282500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4999999999999997000E-3 " "
y[1] (analytic) = 1.0025031223942067 " "
y[1] (numeric) = 1.0025031223942067 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5999999999999995000E-3 " "
y[1] (analytic) = 1.002603377068764 " "
y[1] (numeric) = 1.0026033770687637 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.21468040107950180000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.6999999999999990000E-3 " "
y[1] (analytic) = 1.0027036417172872 " "
y[1] (numeric) = 1.002703641717287 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.21445894566359700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999999000E-3 " "
y[1] (analytic) = 1.0028039163387739 " "
y[1] (numeric) = 1.0028039163387739 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.899999999999998700E-3 " "
y[1] (analytic) = 1.0029042009322213 " "
y[1] (numeric) = 1.0029042009322215 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.214016101624023700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.9999999999999990000E-3 " "
y[1] (analytic) = 1.003004495496627 " "
y[1] (numeric) = 1.0030044954966273 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.213794713004633700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.0999999999999983000E-3 " "
y[1] (analytic) = 1.0031048000309877 " "
y[1] (numeric) = 1.003104800030988 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.213573346655025300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.1999999999999984000E-3 " "
y[1] (analytic) = 1.0032051145343006 " "
y[1] (numeric) = 1.0032051145343006 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2999999999999985000E-3 " "
y[1] (analytic) = 1.003305439005562 " "
y[1] (numeric) = 1.0033054390055622 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.213130680773677500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.399999999999998000E-3 " "
y[1] (analytic) = 1.003405773443769 " "
y[1] (numeric) = 1.0034057734437694 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.425818762492395600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999998000E-3 " "
y[1] (analytic) = 1.0035061178479183 " "
y[1] (numeric) = 1.0035061178479188 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.425376207994025000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5999999999999976000E-3 " "
y[1] (analytic) = 1.0036064722170068 " "
y[1] (numeric) = 1.003606472217007 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.212466849028244300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.6999999999999980000E-3 " "
y[1] (analytic) = 1.00370683655003 " "
y[1] (numeric) = 1.0037068365500306 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.6367368490260390000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.7999999999999970000E-3 " "
y[1] (analytic) = 1.0038072108459852 " "
y[1] (numeric) = 1.0038072108459857 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.42404881188086500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.8999999999999974000E-3 " "
y[1] (analytic) = 1.0039075951038683 " "
y[1] (numeric) = 1.0039075951038687 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.42360643565123500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9999999999999974000E-3 " "
y[1] (analytic) = 1.004007989322675 " "
y[1] (numeric) = 1.0040079893226757 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.63474615599903500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.099999999999997500E-3 " "
y[1] (analytic) = 1.0041083935014021 " "
y[1] (numeric) = 1.0041083935014028 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.63408272539416500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.199999999999998000E-3 " "
y[1] (analytic) = 1.0042088076390452 " "
y[1] (numeric) = 1.004208807639046 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.84455914889141100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.299999999999998000E-3 " "
y[1] (analytic) = 1.004309231734601 " "
y[1] (numeric) = 1.0043092317346012 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.210918688276171000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.3999999999999984000E-3 " "
y[1] (analytic) = 1.0044096657870631 " "
y[1] (numeric) = 1.004409665787064 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.84279044650712200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.499999999999999000E-3 " "
y[1] (analytic) = 1.0045101097954297 " "
y[1] (numeric) = 1.00451010979543 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.42095311455354300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.599999999999999000E-3 " "
y[1] (analytic) = 1.0046105637586944 " "
y[1] (numeric) = 1.004610563758695 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.63076657568472400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.699999999999999000E-3 " "
y[1] (analytic) = 1.0047110276758537 " "
y[1] (numeric) = 1.0047110276758544 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.63010354644983800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.8000E-3 " "
y[1] (analytic) = 1.004811501545903 " "
y[1] (numeric) = 1.0048115015459034 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41962705608794470000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9000E-3 " "
y[1] (analytic) = 1.004911985367837 " "
y[1] (numeric) = 1.0049119853678374 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41918512582481200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000E-3 " "
y[1] (analytic) = 1.0050124791406512 " "
y[1] (numeric) = 1.0050124791406516 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41874324018132370000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.1000E-3 " "
y[1] (analytic) = 1.0051129828633403 " "
y[1] (numeric) = 1.005112982863341 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.6274520987424600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.200000000000000000E-3 " "
y[1] (analytic) = 1.0052134965349002 " "
y[1] (numeric) = 1.0052134965349004 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.20892980138495480000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.300000000000001000E-3 " "
y[1] (analytic) = 1.0053140201543247 " "
y[1] (numeric) = 1.005314020154325 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.20870892550514200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.400000000000001000E-3 " "
y[1] (analytic) = 1.005414553720609 " "
y[1] (numeric) = 1.0054145537206092 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.20848807194345100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.500000000000002000E-3 " "
y[1] (analytic) = 1.0055150972327476 " "
y[1] (numeric) = 1.005515097232748 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41653448140390100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.600000000000002000E-3 " "
y[1] (analytic) = 1.0056156506897354 " "
y[1] (numeric) = 1.0056156506897358 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.4160928635654095000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000002000E-3 " "
y[1] (analytic) = 1.005716214090567 " "
y[1] (numeric) = 1.005716214090567 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000002000E-3 " "
y[1] (analytic) = 1.0058167874342359 " "
y[1] (numeric) = 1.0058167874342363 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.415209761838448400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.9000000000000030000E-3 " "
y[1] (analytic) = 1.0059173707197373 " "
y[1] (numeric) = 1.0059173707197375 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.207384138979105500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.000000000000003000E-3 " "
y[1] (analytic) = 1.0060179639460647 " "
y[1] (numeric) = 1.0060179639460651 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.4143268387389495000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.100000000000003000E-3 " "
y[1] (analytic) = 1.0061185671122126 " "
y[1] (numeric) = 1.006118567112213 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41388544418476300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.200000000000003000E-3 " "
y[1] (analytic) = 1.0062191802171747 " "
y[1] (numeric) = 1.0062191802171754 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.62016614144962600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3000000000000030000E-3 " "
y[1] (analytic) = 1.0063198032599456 " "
y[1] (numeric) = 1.0063198032599459 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.206501394543999300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.400000000000003000E-3 " "
y[1] (analytic) = 1.0064204362395177 " "
y[1] (numeric) = 1.0064204362395182 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41256152855359900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.500000000000004000E-3 " "
y[1] (analytic) = 1.006521079154886 " "
y[1] (numeric) = 1.0065210791548862 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.206060156350312400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.600000000000005000E-3 " "
y[1] (analytic) = 1.0066217320050432 " "
y[1] (numeric) = 1.0066217320050435 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.205839570766577300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7000000000000050000E-3 " "
y[1] (analytic) = 1.006722394788983 " "
y[1] (numeric) = 1.0067223947889834 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41123801505525550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.800000000000005000E-3 " "
y[1] (analytic) = 1.006823067505699 " "
y[1] (numeric) = 1.0068230675056993 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.20539846663549400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.900000000000005000E-3 " "
y[1] (analytic) = 1.0069237501541841 " "
y[1] (numeric) = 1.0069237501541846 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.41035589618441250000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.000000000000005000E-3 " "
y[1] (analytic) = 1.007024442733432 " "
y[1] (numeric) = 1.0070244427334323 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.204957451899788600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000005000E-3 " "
y[1] (analytic) = 1.0071251452424352 " "
y[1] (numeric) = 1.0071251452424357 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.40947395612053200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.200000000000006000E-3 " "
y[1] (analytic) = 1.007225857680187 " "
y[1] (numeric) = 1.0072258576801876 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.61354957972697300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.300000000000006000E-3 " "
y[1] (analytic) = 1.0073265800456803 " "
y[1] (numeric) = 1.0073265800456808 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.408592194895959400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.400000000000007000E-3 " "
y[1] (analytic) = 1.0074273123379078 " "
y[1] (numeric) = 1.0074273123379083 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.408151381358496600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.500000000000007000E-3 " "
y[1] (analytic) = 1.0075280545558618 " "
y[1] (numeric) = 1.0075280545558627 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.81542122508590300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.600000000000007000E-3 " "
y[1] (analytic) = 1.007628806698536 " "
y[1] (numeric) = 1.0076288066985364 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.40726988845333800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.700000000000007000E-3 " "
y[1] (analytic) = 1.0077295687649217 " "
y[1] (numeric) = 1.0077295687649221 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.40682920909367100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.8000000000000070000E-3 " "
y[1] (analytic) = 1.0078303407540115 " "
y[1] (numeric) = 1.0078303407540121 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60958286170193900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.900000000000008000E-3 " "
y[1] (analytic) = 1.007931122664798 " "
y[1] (numeric) = 1.0079311226647987 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60892197687030200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.000000000000007000E-3 " "
y[1] (analytic) = 1.0080319144962735 " "
y[1] (numeric) = 1.008031914496274 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.405507439434392400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.100000000000006000E-3 " "
y[1] (analytic) = 1.0081327162474296 " "
y[1] (numeric) = 1.00813271624743 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.40506693903452500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.200000000000006000E-3 " "
y[1] (analytic) = 1.0082335279172585 " "
y[1] (numeric) = 1.0082335279172592 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60693972507687500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.300000000000005000E-3 " "
y[1] (analytic) = 1.0083343495047523 " "
y[1] (numeric) = 1.008334349504753 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60627910873281500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.400000000000005000E-3 " "
y[1] (analytic) = 1.0084351810089025 " "
y[1] (numeric) = 1.0084351810089032 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60561855952557600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.500000000000004000E-3 " "
y[1] (analytic) = 1.008536022428701 " "
y[1] (numeric) = 1.0085360224287017 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60495807746110200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.600000000000003000E-3 " "
y[1] (analytic) = 1.0086368737631393 " "
y[1] (numeric) = 1.00863687376314 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60429766254533900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.700000000000003000E-3 " "
y[1] (analytic) = 1.0087377350112083 " "
y[1] (numeric) = 1.0087377350112094 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.10060621913070460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.800000000000002000E-3 " "
y[1] (analytic) = 1.0088386061719006 " "
y[1] (numeric) = 1.0088386061719015 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.80396937891158100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.900000000000001000E-3 " "
y[1] (analytic) = 1.0089394872442068 " "
y[1] (numeric) = 1.0089394872442075 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60231682074963600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.000000000000001000E-3 " "
y[1] (analytic) = 1.0090403782271178 " "
y[1] (numeric) = 1.0090403782271187 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.80220889931732200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1000E-3 " "
y[1] (analytic) = 1.0091412791196253 " "
y[1] (numeric) = 1.009141279119626 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.6009965954046500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.2000E-3 " "
y[1] (analytic) = 1.0092421899207198 " "
y[1] (numeric) = 1.0092421899207205 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60033658350550600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.3000E-3 " "
y[1] (analytic) = 1.0093431106293922 " "
y[1] (numeric) = 1.009343110629393 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.79956885172859900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.399999999999998000E-3 " "
y[1] (analytic) = 1.0094440412446337 " "
y[1] (numeric) = 1.0094440412446346 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.79868901504446600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.499999999999998000E-3 " "
y[1] (analytic) = 1.009544981765435 " "
y[1] (numeric) = 1.0095449817654356 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5983569509720810000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.599999999999997000E-3 " "
y[1] (analytic) = 1.0096459321907862 " "
y[1] (numeric) = 1.009645932190787 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.597697207868500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.699999999999996000E-3 " "
y[1] (analytic) = 1.0097468925196782 " "
y[1] (numeric) = 1.0097468925196789 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.59703753197846200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.799999999999996000E-3 " "
y[1] (analytic) = 1.009847862751101 " "
y[1] (numeric) = 1.0098478627511018 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.79517056441041500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.899999999999995000E-3 " "
y[1] (analytic) = 1.0099488428840455 " "
y[1] (numeric) = 1.0099488428840462 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5957183818623800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.999999999999996000E-3 " "
y[1] (analytic) = 1.0100498329175014 " "
y[1] (numeric) = 1.010049832917502 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.59505890764799800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.009999999999999500E-2 " "
y[1] (analytic) = 1.0101508328504591 " "
y[1] (numeric) = 1.0101508328504596 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.39626633378032100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.019999999999999400E-2 " "
y[1] (analytic) = 1.0102518426819083 " "
y[1] (numeric) = 1.010251842681909 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.59374016093564700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.029999999999999200E-2 " "
y[1] (analytic) = 1.0103528624108389 " "
y[1] (numeric) = 1.0103528624108398 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.7907745179323890000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.039999999999999300E-2 " "
y[1] (analytic) = 1.010453892036241 " "
y[1] (numeric) = 1.010453892036242 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.09873694720286900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.049999999999999300E-2 " "
y[1] (analytic) = 1.0105549315571043 " "
y[1] (numeric) = 1.0105549315571052 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.7890167269935900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.059999999999999100E-2 " "
y[1] (analytic) = 1.0106559809724183 " "
y[1] (numeric) = 1.0106559809724192 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.78813796605201500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.06999999999999900E-2 " "
y[1] (analytic) = 1.0107570402811725 " "
y[1] (numeric) = 1.0107570402811732 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.59044447110443900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.07999999999999900E-2 " "
y[1] (analytic) = 1.010858109482356 " "
y[1] (numeric) = 1.010858109482357 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.7863807132629800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.08999999999999900E-2 " "
y[1] (analytic) = 1.010959188574959 " "
y[1] (numeric) = 1.0109591885749596 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.58912666607315300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.099999999999998900E-2 " "
y[1] (analytic) = 1.0110602775579696 " "
y[1] (numeric) = 1.0110602775579702 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5884678644879400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.109999999999998800E-2 " "
y[1] (analytic) = 1.0111613764303773 " "
y[1] (numeric) = 1.0111613764303782 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.78374550692977300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.119999999999998800E-2 " "
y[1] (analytic) = 1.0112624851911716 " "
y[1] (numeric) = 1.0112624851911722 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5871504632070500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.129999999999998800E-2 " "
y[1] (analytic) = 1.0113636038393408 " "
y[1] (numeric) = 1.0113636038393414 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.58649186352282400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.139999999999998700E-2 " "
y[1] (analytic) = 1.0114647323738744 " "
y[1] (numeric) = 1.0114647323738746 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.195277777050119400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.149999999999998500E-2 " "
y[1] (analytic) = 1.0115658707937598 " "
y[1] (numeric) = 1.0115658707937605 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.58517486609536600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.159999999999998500E-2 " "
y[1] (analytic) = 1.0116670190979873 " "
y[1] (numeric) = 1.0116670190979877 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.389677645575686400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.169999999999998500E-2 " "
y[1] (analytic) = 1.011768177285544 " "
y[1] (numeric) = 1.0117681772855447 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.58385813796054800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.179999999999998400E-2 " "
y[1] (analytic) = 1.0118693453554193 " "
y[1] (numeric) = 1.01186934535542 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.58319987489209200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.189999999999998300E-2 " "
y[1] (analytic) = 1.0119705233066012 " "
y[1] (numeric) = 1.0119705233066016 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.388361119442556500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.199999999999998300E-2 " "
y[1] (analytic) = 1.012071711138078 " "
y[1] (numeric) = 1.0120717111380781 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.19396118359381300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.209999999999998300E-2 " "
y[1] (analytic) = 1.012172908848837 " "
y[1] (numeric) = 1.0121729088488376 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.58122548975056300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.219999999999998200E-2 " "
y[1] (analytic) = 1.0122741164378675 " "
y[1] (numeric) = 1.012274116437868 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.38704499738456400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.229999999999998000E-2 " "
y[1] (analytic) = 1.0123753339041563 " "
y[1] (numeric) = 1.012375333904157 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57990956976593200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.23999999999999800E-2 " "
y[1] (analytic) = 1.0124765612466922 " "
y[1] (numeric) = 1.0124765612466928 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57925171082344600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.24999999999999800E-2 " "
y[1] (analytic) = 1.0125777984644624 " "
y[1] (numeric) = 1.012577798464463 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57859391925501200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.25999999999999780E-2 " "
y[1] (analytic) = 1.0126790455564547 " "
y[1] (numeric) = 1.0126790455564552 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.38529079671082800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.269999999999997800E-2 " "
y[1] (analytic) = 1.0127803025216564 " "
y[1] (numeric) = 1.0127803025216568 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.38485235884182900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.279999999999997800E-2 " "
y[1] (analytic) = 1.012881569359055 " "
y[1] (numeric) = 1.0128815693590556 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57662094885011400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.289999999999997800E-2 " "
y[1] (analytic) = 1.012982846067638 " "
y[1] (numeric) = 1.0129828460676387 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57596342683393700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.299999999999997800E-2 " "
y[1] (analytic) = 1.0130841326463926 " "
y[1] (numeric) = 1.013084132646393 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.383537314813198400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.309999999999997600E-2 " "
y[1] (analytic) = 1.0131854290943059 " "
y[1] (numeric) = 1.0131854290943063 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.38309905667551240000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.319999999999997600E-2 " "
y[1] (analytic) = 1.0132867354103645 " "
y[1] (numeric) = 1.0132867354103652 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57399126521991400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.329999999999997600E-2 " "
y[1] (analytic) = 1.013388051593556 " "
y[1] (numeric) = 1.0133880515935567 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5733340128452900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.339999999999997300E-2 " "
y[1] (analytic) = 1.013489377642867 " "
y[1] (numeric) = 1.0134893776428677 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57267682789494200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.349999999999997300E-2 " "
y[1] (analytic) = 1.0135907135572841 " "
y[1] (numeric) = 1.013590713557285 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.76269294716588700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.359999999999997300E-2 " "
y[1] (analytic) = 1.013692059335794 " "
y[1] (numeric) = 1.013692059335795 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.76181688038564900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.369999999999997300E-2 " "
y[1] (analytic) = 1.0137934149773837 " "
y[1] (numeric) = 1.0137934149773844 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57070567764493100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.379999999999997300E-2 " "
y[1] (analytic) = 1.013894780481039 " "
y[1] (numeric) = 1.0138947804810396 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.57004876244701600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.389999999999997000E-2 " "
y[1] (analytic) = 1.0139961558457462 " "
y[1] (numeric) = 1.013996155845747 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.75918921960133100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.39999999999999700E-2 " "
y[1] (analytic) = 1.0140975410704924 " "
y[1] (numeric) = 1.014097541070493 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.56873513441237500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.40999999999999700E-2 " "
y[1] (analytic) = 1.014198936154263 " "
y[1] (numeric) = 1.0141989361542636 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.56807842158663800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.41999999999999680E-2 " "
y[1] (analytic) = 1.0143003410960438 " "
y[1] (numeric) = 1.0143003410960447 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.756562368305700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.429999999999996800E-2 " "
y[1] (analytic) = 1.0144017558948217 " "
y[1] (numeric) = 1.0144017558948224 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.56676519834575300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.439999999999996800E-2 " "
y[1] (analytic) = 1.0145031805495819 " "
y[1] (numeric) = 1.0145031805495826 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.56610868794154500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.449999999999996800E-2 " "
y[1] (analytic) = 1.01460461505931 " "
y[1] (numeric) = 1.0146046150593109 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.75393632669614600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.459999999999996900E-2 " "
y[1] (analytic) = 1.0147060594229922 " "
y[1] (numeric) = 1.014706059422993 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.7530611594571900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.469999999999996600E-2 " "
y[1] (analytic) = 1.0148075136396137 " "
y[1] (numeric) = 1.0148075136396146 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.75218608221245400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.479999999999996600E-2 " "
y[1] (analytic) = 1.01490897770816 " "
y[1] (numeric) = 1.014908977708161 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0939138868711480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.489999999999996600E-2 " "
y[1] (analytic) = 1.0150104516276168 " "
y[1] (numeric) = 1.0150104516276177 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.7504361977346100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.499999999999996300E-2 " "
y[1] (analytic) = 1.0151119353969689 " "
y[1] (numeric) = 1.0151119353969698 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.74956139051596200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.509999999999996300E-2 " "
y[1] (analytic) = 1.0152134290152017 " "
y[1] (numeric) = 1.0152134290152024 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.56151500499033800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.519999999999996400E-2 " "
y[1] (analytic) = 1.0153149324813002 " "
y[1] (numeric) = 1.015314932481301 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5608590346164600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.529999999999996400E-2 " "
y[1] (analytic) = 1.0154164457942492 " "
y[1] (numeric) = 1.01541644579425 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.74693750902764400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.539999999999996400E-2 " "
y[1] (analytic) = 1.015517968953034 " "
y[1] (numeric) = 1.0155179689530347 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.55954729645853800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.549999999999996000E-2 " "
y[1] (analytic) = 1.015619501956639 " "
y[1] (numeric) = 1.0156195019566396 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.55889152868525700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.559999999999996000E-2 " "
y[1] (analytic) = 1.0157210448040488 " "
y[1] (numeric) = 1.0157210448040495 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.5582358284562600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.56999999999999600E-2 " "
y[1] (analytic) = 1.015822597494248 " "
y[1] (numeric) = 1.015822597494249 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.74344026103587900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.57999999999999590E-2 " "
y[1] (analytic) = 1.0159241600262217 " "
y[1] (numeric) = 1.0159241600262225 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.74256617420340600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.58999999999999590E-2 " "
y[1] (analytic) = 1.0160257323989537 " "
y[1] (numeric) = 1.0160257323989543 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.55626913308854300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.59999999999999600E-2 " "
y[1] (analytic) = 1.0161273146114278 " "
y[1] (numeric) = 1.016127314611429 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.09260228384836940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.609999999999996000E-2 " "
y[1] (analytic) = 1.0162289066626295 " "
y[1] (numeric) = 1.0162289066626302 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.55495834066289500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.619999999999996000E-2 " "
y[1] (analytic) = 1.0163305085515417 " "
y[1] (numeric) = 1.0163305085515426 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.73907072774921600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.629999999999995600E-2 " "
y[1] (analytic) = 1.0164321202771487 " "
y[1] (numeric) = 1.0164321202771498 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.09227463642376250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.639999999999995600E-2 " "
y[1] (analytic) = 1.016533741838435 " "
y[1] (numeric) = 1.0165337418384357 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.55299265886018500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.649999999999995600E-2 " "
y[1] (analytic) = 1.0166353732343838 " "
y[1] (numeric) = 1.0166353732343842 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.36822504451336360000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.659999999999995400E-2 " "
y[1] (analytic) = 1.0167370144639782 " "
y[1] (numeric) = 1.0167370144639791 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.73557672303659700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.669999999999995400E-2 " "
y[1] (analytic) = 1.016838665526203 " "
y[1] (numeric) = 1.0168386655262038 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.73470344718355600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.679999999999995400E-2 " "
y[1] (analytic) = 1.0169403264200407 " "
y[1] (numeric) = 1.0169403264200418 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.09172878268433030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.689999999999995400E-2 " "
y[1] (analytic) = 1.0170419971444757 " "
y[1] (numeric) = 1.0170419971444766 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.73295716591686800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.699999999999995400E-2 " "
y[1] (analytic) = 1.0171436776984906 " "
y[1] (numeric) = 1.0171436776984915 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.7320841605172510000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.709999999999995000E-2 " "
y[1] (analytic) = 1.0172453680810687 " "
y[1] (numeric) = 1.0172453680810694 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54840843396208800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.71999999999999510E-2 " "
y[1] (analytic) = 1.017347068291193 " "
y[1] (numeric) = 1.0173470682911936 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54775381516534700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.72999999999999520E-2 " "
y[1] (analytic) = 1.0174487783278463 " "
y[1] (numeric) = 1.0174487783278472 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.72946568533726200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.73999999999999500E-2 " "
y[1] (analytic) = 1.0175504981900123 " "
y[1] (numeric) = 1.017550498190013 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54644478048010700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.74999999999999500E-2 " "
y[1] (analytic) = 1.017652227876673 " "
y[1] (numeric) = 1.0176522278766738 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54579036460205200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.75999999999999500E-2 " "
y[1] (analytic) = 1.0177539673868117 " "
y[1] (numeric) = 1.0177539673868123 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54513601637398900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.76999999999999500E-2 " "
y[1] (analytic) = 1.0178557167194104 " "
y[1] (numeric) = 1.017855716719411 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54448173580111900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.779999999999995000E-2 " "
y[1] (analytic) = 1.0179574758734522 " "
y[1] (numeric) = 1.0179574758734529 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54382752288863300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.789999999999994700E-2 " "
y[1] (analytic) = 1.0180592448479193 " "
y[1] (numeric) = 1.0180592448479198 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.3621155850944804000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.799999999999994700E-2 " "
y[1] (analytic) = 1.0181610236417935 " "
y[1] (numeric) = 1.0181610236417942 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54251930006555800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.809999999999994700E-2 " "
y[1] (analytic) = 1.0182628122540578 " "
y[1] (numeric) = 1.0182628122540585 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54186529016531300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.819999999999994400E-2 " "
y[1] (analytic) = 1.0183646106836939 " "
y[1] (numeric) = 1.0183646106836945 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54121134794614800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.829999999999994400E-2 " "
y[1] (analytic) = 1.018466418929684 " "
y[1] (numeric) = 1.0184664189296846 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.54055747341321500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.839999999999994400E-2 " "
y[1] (analytic) = 1.0185682369910096 " "
y[1] (numeric) = 1.0185682369910103 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.53990366657166400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.849999999999994400E-2 " "
y[1] (analytic) = 1.0186700648666527 " "
y[1] (numeric) = 1.0186700648666536 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.71899990323550700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.859999999999994400E-2 " "
y[1] (analytic) = 1.0187719025555957 " "
y[1] (numeric) = 1.0187719025555964 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.53859625598323900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.869999999999994200E-2 " "
y[1] (analytic) = 1.0188737500568195 " "
y[1] (numeric) = 1.0188737500568201 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.53794265224661800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.879999999999994200E-2 " "
y[1] (analytic) = 1.0189756073693053 " "
y[1] (numeric) = 1.0189756073693064 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.089548186036980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.88999999999999420E-2 " "
y[1] (analytic) = 1.0190774744920357 " "
y[1] (numeric) = 1.0190774744920366 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.71551419721883500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.89999999999999400E-2 " "
y[1] (analytic) = 1.0191793514239909 " "
y[1] (numeric) = 1.019179351423992 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08933037455474350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.90999999999999400E-2 " "
y[1] (analytic) = 1.0192812381641527 " "
y[1] (numeric) = 1.0192812381641538 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0892214857449950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.91999999999999400E-2 " "
y[1] (analytic) = 1.0193831347115023 " "
y[1] (numeric) = 1.0193831347115032 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.71290086579164700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.92999999999999400E-2 " "
y[1] (analytic) = 1.0194850410650202 " "
y[1] (numeric) = 1.0194850410650214 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08900374199247250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.939999999999994000E-2 " "
y[1] (analytic) = 1.019586957223688 " "
y[1] (numeric) = 1.019586957223689 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08889488705138840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.949999999999993700E-2 " "
y[1] (analytic) = 1.0196888831864857 " "
y[1] (numeric) = 1.0196888831864872 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.52430046076216660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.959999999999993700E-2 " "
y[1] (analytic) = 1.0197908189523952 " "
y[1] (numeric) = 1.0197908189523965 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30641265325254830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.969999999999993700E-2 " "
y[1] (analytic) = 1.0198927645203963 " "
y[1] (numeric) = 1.0198927645203977 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30628206797474970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.979999999999993400E-2 " "
y[1] (analytic) = 1.0199947198894699 " "
y[1] (numeric) = 1.019994719889471 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08845958020788970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.989999999999993400E-2 " "
y[1] (analytic) = 1.0200966850585957 " "
y[1] (numeric) = 1.020096685058597 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30602093807770820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.999999999999993400E-2 " "
y[1] (analytic) = 1.0201986600267554 " "
y[1] (numeric) = 1.0201986600267563 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.70593595640315900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.009999999999993500E-2 " "
y[1] (analytic) = 1.0203006447929281 " "
y[1] (numeric) = 1.020300644792929 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.70506574932511800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.019999999999993500E-2 " "
y[1] (analytic) = 1.0204026393560943 " "
y[1] (numeric) = 1.0204026393560952 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.70419563262393400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.029999999999993200E-2 " "
y[1] (analytic) = 1.0205046437152339 " "
y[1] (numeric) = 1.020504643715235 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08791570078828390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.039999999999993200E-2 " "
y[1] (analytic) = 1.0206066578693278 " "
y[1] (numeric) = 1.0206066578693285 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.52684175278407400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.04999999999999320E-2 " "
y[1] (analytic) = 1.0207086818173545 " "
y[1] (numeric) = 1.0207086818173554 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.70158582484807200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.05999999999999300E-2 " "
y[1] (analytic) = 1.0208107155582944 " "
y[1] (numeric) = 1.0208107155582955 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08758950871510150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.06999999999999300E-2 " "
y[1] (analytic) = 1.0209127590911269 " "
y[1] (numeric) = 1.0209127590911284 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5224731208756310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.07999999999999300E-2 " "
y[1] (analytic) = 1.0210148124148326 " "
y[1] (numeric) = 1.0210148124148337 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.08737210383788150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.08999999999999300E-2 " "
y[1] (analytic) = 1.0211168755283895 " "
y[1] (numeric) = 1.0211168755283908 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30471610202386430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.09999999999999300E-2 " "
y[1] (analytic) = 1.0212189484307779 " "
y[1] (numeric) = 1.0212189484307792 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.3045856930067470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.109999999999992700E-2 " "
y[1] (analytic) = 1.0213210311209764 " "
y[1] (numeric) = 1.0213210311209782 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73927373007345760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.119999999999992700E-2 " "
y[1] (analytic) = 1.0214231235979652 " "
y[1] (numeric) = 1.0214231235979667 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.52171240161486750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.129999999999992700E-2 " "
y[1] (analytic) = 1.0215252258607226 " "
y[1] (numeric) = 1.021525225860724 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.3041945473521110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.139999999999992500E-2 " "
y[1] (analytic) = 1.0216273379082277 " "
y[1] (numeric) = 1.021627337908229 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30406419260274830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.149999999999992500E-2 " "
y[1] (analytic) = 1.021729459739459 " "
y[1] (numeric) = 1.0217294597394606 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5212561599932420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.159999999999992500E-2 " "
y[1] (analytic) = 1.0218315913533964 " "
y[1] (numeric) = 1.0218315913533977 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30380352381318040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.169999999999992500E-2 " "
y[1] (analytic) = 1.0219337327490174 " "
y[1] (numeric) = 1.0219337327490188 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30367320977493070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.179999999999992500E-2 " "
y[1] (analytic) = 1.0220358839253012 " "
y[1] (numeric) = 1.0220358839253025 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30354290930900500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.189999999999992200E-2 " "
y[1] (analytic) = 1.022138044881226 " "
y[1] (numeric) = 1.0221380448812274 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30341262241637750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.199999999999992200E-2 " "
y[1] (analytic) = 1.0222402156157706 " "
y[1] (numeric) = 1.022240215615772 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.30328234909801970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.209999999999992200E-2 " "
y[1] (analytic) = 1.0223423961279128 " "
y[1] (numeric) = 1.0223423961279143 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.52034410424738730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.21999999999999200E-2 " "
y[1] (analytic) = 1.0224445864166312 " "
y[1] (numeric) = 1.0224445864166327 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.52019215038599600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.22999999999999200E-2 " "
y[1] (analytic) = 1.0225467864809037 " "
y[1] (numeric) = 1.0225467864809052 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5200402123646460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.23999999999999200E-2 " "
y[1] (analytic) = 1.0226489963197083 " "
y[1] (numeric) = 1.0226489963197098 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51988829018446350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.24999999999999200E-2 " "
y[1] (analytic) = 1.0227512159320227 " "
y[1] (numeric) = 1.0227512159320244 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7368415815389420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.25999999999999200E-2 " "
y[1] (analytic) = 1.0228534453168252 " "
y[1] (numeric) = 1.022853445316827 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73666799240240170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.269999999999991700E-2 " "
y[1] (analytic) = 1.0229556844730934 " "
y[1] (numeric) = 1.022955684473095 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51943261870216620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.279999999999991800E-2 " "
y[1] (analytic) = 1.0230579333998044 " "
y[1] (numeric) = 1.023057933399806 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51928075989788940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.289999999999991800E-2 " "
y[1] (analytic) = 1.0231601920959363 " "
y[1] (numeric) = 1.023160192095938 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5191289169403882000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.299999999999991500E-2 " "
y[1] (analytic) = 1.023262460560466 " "
y[1] (numeric) = 1.0232624605604677 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5189770898307790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.309999999999991500E-2 " "
y[1] (analytic) = 1.0233647387923712 " "
y[1] (numeric) = 1.023364738792373 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73580031836591630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.319999999999991500E-2 " "
y[1] (analytic) = 1.0234670267906294 " "
y[1] (numeric) = 1.023467026790631 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51867348315969200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.329999999999991500E-2 " "
y[1] (analytic) = 1.0235693245542166 " "
y[1] (numeric) = 1.0235693245542186 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.95238504748627800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.339999999999991500E-2 " "
y[1] (analytic) = 1.0236716320821113 " "
y[1] (numeric) = 1.0236716320821129 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51836993989352240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.349999999999991300E-2 " "
y[1] (analytic) = 1.023773949373289 " "
y[1] (numeric) = 1.023773949373291 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.95199481833721070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.359999999999991300E-2 " "
y[1] (analytic) = 1.0238762764267273 " "
y[1] (numeric) = 1.0238762764267295 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.16866637148733400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.369999999999991300E-2 " "
y[1] (analytic) = 1.023978613241403 " "
y[1] (numeric) = 1.0239786132414053 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.16844963413981270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.37999999999999100E-2 " "
y[1] (analytic) = 1.024080959816293 " "
y[1] (numeric) = 1.0240809598162948 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73458633555583940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.38999999999999100E-2 " "
y[1] (analytic) = 1.0241833161503728 " "
y[1] (numeric) = 1.0241833161503748 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.951214604663480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.39999999999999100E-2 " "
y[1] (analytic) = 1.0242856822426198 " "
y[1] (numeric) = 1.0242856822426216 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73423964641486570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.40999999999999100E-2 " "
y[1] (analytic) = 1.0243880580920095 " "
y[1] (numeric) = 1.0243880580920115 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.95082462016146150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.41999999999999100E-2 " "
y[1] (analytic) = 1.0244904436975188 " "
y[1] (numeric) = 1.0244904436975208 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.95062965849909930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.42999999999999080E-2 " "
y[1] (analytic) = 1.0245928390581238 " "
y[1] (numeric) = 1.0245928390581258 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.95043471723104160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.439999999999990800E-2 " "
y[1] (analytic) = 1.0246952441728006 " "
y[1] (numeric) = 1.0246952441728023 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73354648565216980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.449999999999990800E-2 " "
y[1] (analytic) = 1.0247976590405243 " "
y[1] (numeric) = 1.0247976590405263 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.95004489588344930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.459999999999990500E-2 " "
y[1] (analytic) = 1.0249000836602717 " "
y[1] (numeric) = 1.0249000836602737 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94985001580671250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.469999999999990500E-2 " "
y[1] (analytic) = 1.0250025180310185 " "
y[1] (numeric) = 1.0250025180310205 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94965515612987640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.479999999999990500E-2 " "
y[1] (analytic) = 1.0251049621517403 " "
y[1] (numeric) = 1.0251049621517418 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51624691310892650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.489999999999990600E-2 " "
y[1] (analytic) = 1.0252074160214122 " "
y[1] (numeric) = 1.0252074160214137 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5160953873189270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.499999999999990600E-2 " "
y[1] (analytic) = 1.0253098796390094 " "
y[1] (numeric) = 1.0253098796390114 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94907069951269550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.509999999999990600E-2 " "
y[1] (analytic) = 1.0254123530035084 " "
y[1] (numeric) = 1.0254123530035102 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73233415239944230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.519999999999990000E-2 " "
y[1] (analytic) = 1.0255148361138837 " "
y[1] (numeric) = 1.0255148361138855 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73216103448257250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.529999999999990000E-2 " "
y[1] (analytic) = 1.0256173289691106 " "
y[1] (numeric) = 1.0256173289691124 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73198793470634740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.539999999999990000E-2 " "
y[1] (analytic) = 1.0257198315681642 " "
y[1] (numeric) = 1.0257198315681662 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.9482917097059932000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5499999999999900E-2 " "
y[1] (analytic) = 1.0258223439100198 " "
y[1] (numeric) = 1.0258223439100216 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73164178958073460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5599999999999900E-2 " "
y[1] (analytic) = 1.0259248659936513 " "
y[1] (numeric) = 1.0259248659936535 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.1643359302922419000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5699999999999900E-2 " "
y[1] (analytic) = 1.0260273978180348 " "
y[1] (numeric) = 1.0260273978180368 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94770768166143720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5799999999999900E-2 " "
y[1] (analytic) = 1.0261299393821441 " "
y[1] (numeric) = 1.026129939382146 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73112270797773900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5899999999999900E-2 " "
y[1] (analytic) = 1.0262324906849538 " "
y[1] (numeric) = 1.0262324906849558 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.9473184317049430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.599999999999990000E-2 " "
y[1] (analytic) = 1.0263350517254386 " "
y[1] (numeric) = 1.0263350517254408 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.1634709303919580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.609999999999989600E-2 " "
y[1] (analytic) = 1.0264376225025735 " "
y[1] (numeric) = 1.0264376225025753 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.73060378970646770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.619999999999989600E-2 " "
y[1] (analytic) = 1.0265402030153314 " "
y[1] (numeric) = 1.0265402030153334 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94673470990734840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.629999999999989600E-2 " "
y[1] (analytic) = 1.0266427932626876 " "
y[1] (numeric) = 1.0266427932626896 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94654017681683560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.639999999999989600E-2 " "
y[1] (analytic) = 1.026745393243616 " "
y[1] (numeric) = 1.0267453932436177 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7300850347996390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.649999999999989600E-2 " "
y[1] (analytic) = 1.0268480029570901 " "
y[1] (numeric) = 1.0268480029570919 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72991215280620340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.659999999999989600E-2 " "
y[1] (analytic) = 1.026950622402084 " "
y[1] (numeric) = 1.0269506224020861 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.16217411121149060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.669999999999989600E-2 " "
y[1] (analytic) = 1.027053251577572 " "
y[1] (numeric) = 1.027053251577574 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94576224870103040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.679999999999989000E-2 " "
y[1] (analytic) = 1.0271558904825273 " "
y[1] (numeric) = 1.0271558904825295 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.1617420197115490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.689999999999989000E-2 " "
y[1] (analytic) = 1.0272585391159241 " "
y[1] (numeric) = 1.0272585391159261 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94537340720977530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.699999999999989000E-2 " "
y[1] (analytic) = 1.027361197476735 " "
y[1] (numeric) = 1.0273611974767372 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.16131001901168850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.70999999999998900E-2 " "
y[1] (analytic) = 1.027463865563934 " "
y[1] (numeric) = 1.0274638655639363 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.16109405271551670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.71999999999998900E-2 " "
y[1] (analytic) = 1.027566543376495 " "
y[1] (numeric) = 1.0275665433764969 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94479029821144960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.72999999999998900E-2 " "
y[1] (analytic) = 1.02766923091339 " "
y[1] (numeric) = 1.027669230913392 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.944595969414310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.73999999999998900E-2 " "
y[1] (analytic) = 1.0277719281735926 " "
y[1] (numeric) = 1.0277719281735946 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94440166105387920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.74999999999998900E-2 " "
y[1] (analytic) = 1.027874635156076 " "
y[1] (numeric) = 1.0278746351560781 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.16023041459054320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.75999999999998900E-2 " "
y[1] (analytic) = 1.0279773518598128 " "
y[1] (numeric) = 1.0279773518598152 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.37601601801479350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.769999999999988600E-2 " "
y[1] (analytic) = 1.0280800782837765 " "
y[1] (numeric) = 1.0280800782837787 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.15979873178460040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.779999999999988600E-2 " "
y[1] (analytic) = 1.0281828144269394 " "
y[1] (numeric) = 1.0281828144269414 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.9436246320058330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.789999999999988600E-2 " "
y[1] (analytic) = 1.0282855602882741 " "
y[1] (numeric) = 1.028285560288276 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.727493711865660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999988600E-2 " "
y[1] (analytic) = 1.0283883158667528 " "
y[1] (numeric) = 1.0283883158667548 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94323624013656380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.809999999999988600E-2 " "
y[1] (analytic) = 1.028491081161349 " "
y[1] (numeric) = 1.0284910811613506 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5112549471212960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.819999999999988600E-2 " "
y[1] (analytic) = 1.028593856171034 " "
y[1] (numeric) = 1.0285938561710355 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5111039455953829000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.829999999999988600E-2 " "
y[1] (analytic) = 1.0286966408947804 " "
y[1] (numeric) = 1.028696640894782 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51095295997394160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.839999999999988000E-2 " "
y[1] (analytic) = 1.02879943533156 " "
y[1] (numeric) = 1.028799435331562 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.94245970176027540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.849999999999988000E-2 " "
y[1] (analytic) = 1.0289022394803458 " "
y[1] (numeric) = 1.0289022394803475 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7264583273697720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.859999999999988000E-2 " "
y[1] (analytic) = 1.029005053340109 " "
y[1] (numeric) = 1.0290050533401107 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7262858269104390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.869999999999988000E-2 " "
y[1] (analytic) = 1.0291078769098219 " "
y[1] (numeric) = 1.0291078769098234 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.51034917655325620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.87999999999998800E-2 " "
y[1] (analytic) = 1.0292107101884556 " "
y[1] (numeric) = 1.0292107101884573 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72594088053649120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.88999999999998800E-2 " "
y[1] (analytic) = 1.0293135531749824 " "
y[1] (numeric) = 1.0293135531749842 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72576843462418830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.89999999999998800E-2 " "
y[1] (analytic) = 1.0294164058683737 " "
y[1] (numeric) = 1.0294164058683755 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7255960068965370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.90999999999998800E-2 " "
y[1] (analytic) = 1.029519268267601 " "
y[1] (numeric) = 1.0295192682676026 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5097456476853520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.91999999999998800E-2 " "
y[1] (analytic) = 1.0296221403716357 " "
y[1] (numeric) = 1.0296221403716372 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5095948052498170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.929999999999987600E-2 " "
y[1] (analytic) = 1.0297250221794485 " "
y[1] (numeric) = 1.0297250221794503 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72507883283299270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.939999999999987600E-2 " "
y[1] (analytic) = 1.0298279136900117 " "
y[1] (numeric) = 1.0298279136900133 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5092931681235070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.949999999999987600E-2 " "
y[1] (analytic) = 1.0299308149022957 " "
y[1] (numeric) = 1.029930814902297 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.29355060580119970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.959999999999987600E-2 " "
y[1] (analytic) = 1.030033725815271 " "
y[1] (numeric) = 1.0300337258152725 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50899159466354570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.969999999999987600E-2 " "
y[1] (analytic) = 1.0301366464279094 " "
y[1] (numeric) = 1.030136646427911 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50884083181094030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.979999999999987700E-2 " "
y[1] (analytic) = 1.030239576739181 " "
y[1] (numeric) = 1.0302395767391828 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72421723986047080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.989999999999987700E-2 " "
y[1] (analytic) = 1.0303425167480573 " "
y[1] (numeric) = 1.0303425167480589 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50853935386545320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.999999999999987000E-2 " "
y[1] (analytic) = 1.0304454664535079 " "
y[1] (numeric) = 1.0304454664535099 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.9393568212815720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.009999999999987000E-2 " "
y[1] (analytic) = 1.0305484258545041 " "
y[1] (numeric) = 1.0305484258545061 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.93916306520798280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.019999999999987000E-2 " "
y[1] (analytic) = 1.0306513949500162 " "
y[1] (numeric) = 1.030651394950018 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72352829298445640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.029999999999987000E-2 " "
y[1] (analytic) = 1.030754373739014 " "
y[1] (numeric) = 1.030754373739016 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.93877561448143360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.03999999999998700E-2 " "
y[1] (analytic) = 1.0308573622204684 " "
y[1] (numeric) = 1.0308573622204702 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72318392873867160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.04999999999998700E-2 " "
y[1] (analytic) = 1.0309603603933493 " "
y[1] (numeric) = 1.0309603603933508 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50763530217805060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.05999999999998700E-2 " "
y[1] (analytic) = 1.031063368256626 " "
y[1] (numeric) = 1.031063368256628 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.93819459196216040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.06999999999998700E-2 " "
y[1] (analytic) = 1.0311663858092692 " "
y[1] (numeric) = 1.0311663858092712 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.93800095874626200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.07999999999998700E-2 " "
y[1] (analytic) = 1.031269413050249 " "
y[1] (numeric) = 1.0312694130502507 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50718349134193160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.08999999999998660E-2 " "
y[1] (analytic) = 1.0313724499785342 " "
y[1] (numeric) = 1.031372449978536 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7223233366735960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.099999999999986700E-2 " "
y[1] (analytic) = 1.031475496593095 " "
y[1] (numeric) = 1.0314754965930968 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72215127287798530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.109999999999986700E-2 " "
y[1] (analytic) = 1.031578552892901 " "
y[1] (numeric) = 1.0315785528929027 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7219792272907722000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.119999999999986700E-2 " "
y[1] (analytic) = 1.0316816188769211 " "
y[1] (numeric) = 1.031681618876923 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7218071999130660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.12999999999998700E-2 " "
y[1] (analytic) = 1.0317846945441254 " "
y[1] (numeric) = 1.031784694544127 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5064307919027262000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.13999999999998700E-2 " "
y[1] (analytic) = 1.0318877798934825 " "
y[1] (numeric) = 1.031887779893484 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50628029981677320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.149999999999987000E-2 " "
y[1] (analytic) = 1.0319908749239617 " "
y[1] (numeric) = 1.0319908749239632 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50612982366703870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.15999999999998800E-2 " "
y[1] (analytic) = 1.0320939796345323 " "
y[1] (numeric) = 1.0320939796345339 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5059793634544850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.16999999999998840E-2 " "
y[1] (analytic) = 1.032197094024163 " "
y[1] (numeric) = 1.0321970940241647 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.72094733620579980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.179999999999988400E-2 " "
y[1] (analytic) = 1.032300218091823 " "
y[1] (numeric) = 1.0323002180918246 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50567849084476620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.18999999999998840E-2 " "
y[1] (analytic) = 1.0324033518364804 " "
y[1] (numeric) = 1.0324033518364821 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7206035182280220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.19999999999998900E-2 " "
y[1] (analytic) = 1.0325064952571048 " "
y[1] (numeric) = 1.0325064952571061 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.29032372742453240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.20999999999998950E-2 " "
y[1] (analytic) = 1.0326096483526637 " "
y[1] (numeric) = 1.0326096483526652 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50522730148302860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.219999999999989500E-2 " "
y[1] (analytic) = 1.0327128111221264 " "
y[1] (numeric) = 1.032712811122128 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5050769369136930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2299999999999895E-2 " "
y[1] (analytic) = 1.0328159835644608 " "
y[1] (numeric) = 1.0328159835644626 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7199161009008370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2399999999999900E-2 " "
y[1] (analytic) = 1.0329191656786356 " "
y[1] (numeric) = 1.0329191656786372 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5047762556075958000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.249999999999990700E-2 " "
y[1] (analytic) = 1.0330223574636186 " "
y[1] (numeric) = 1.0330223574636201 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5046259388727312000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.25999999999999070E-2 " "
y[1] (analytic) = 1.0331255589183779 " "
y[1] (numeric) = 1.0331255589183796 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.71940072923952470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.26999999999999070E-2 " "
y[1] (analytic) = 1.033228770041882 " "
y[1] (numeric) = 1.0332287700418834 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2894217313520840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.27999999999999100E-2 " "
y[1] (analytic) = 1.0333319908330982 " "
y[1] (numeric) = 1.0333319908330996 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28929292944475700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.289999999999992000E-2 " "
y[1] (analytic) = 1.0334352212909943 " "
y[1] (numeric) = 1.0334352212909959 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50402483140987950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.29999999999999200E-2 " "
y[1] (analytic) = 1.0335384614145382 " "
y[1] (numeric) = 1.0335384614145398 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50387459441802600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.30999999999999200E-2 " "
y[1] (analytic) = 1.0336417112026979 " "
y[1] (numeric) = 1.0336417112026992 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2889066057522220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.319999999999992400E-2 " "
y[1] (analytic) = 1.03374497065444 " "
y[1] (numeric) = 1.0337449706544415 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50357416828951570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.32999999999999300E-2 " "
y[1] (analytic) = 1.0338482397687327 " "
y[1] (numeric) = 1.033848239768734 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28864912498976660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.33999999999999300E-2 " "
y[1] (analytic) = 1.033951518544543 " "
y[1] (numeric) = 1.0339515185445443 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.288520405120710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.34999999999999300E-2 " "
y[1] (analytic) = 1.0340548069808375 " "
y[1] (numeric) = 1.0340548069808393 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.7178555985699980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.359999999999993500E-2 " "
y[1] (analytic) = 1.0341581050765845 " "
y[1] (numeric) = 1.0341581050765862 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.71768400854790230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.36999999999999400E-2 " "
y[1] (analytic) = 1.0342614128307503 " "
y[1] (numeric) = 1.0342614128307521 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.71751243676238650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.37999999999999400E-2 " "
y[1] (analytic) = 1.0343647302423022 " "
y[1] (numeric) = 1.0343647302423038 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50267327281269350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.389999999999994000E-2 " "
y[1] (analytic) = 1.0344680573102065 " "
y[1] (numeric) = 1.034468057310208 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5025231794171548000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.39999999999999470E-2 " "
y[1] (analytic) = 1.0345713940334302 " "
y[1] (numeric) = 1.0345713940334318 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50237310198139350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.40999999999999500E-2 " "
y[1] (analytic) = 1.0346747404109402 " "
y[1] (numeric) = 1.0346747404109415 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28761974900542480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.41999999999999500E-2 " "
y[1] (analytic) = 1.0347780964417024 " "
y[1] (numeric) = 1.034778096441704 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.502072994992880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.429999999999995000E-2 " "
y[1] (analytic) = 1.034881462124684 " "
y[1] (numeric) = 1.0348814621246853 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28736254180739600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.43999999999999600E-2 " "
y[1] (analytic) = 1.0349848374588508 " "
y[1] (numeric) = 1.0349848374588522 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2872339587324208000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.44999999999999640E-2 " "
y[1] (analytic) = 1.0350882224431692 " "
y[1] (numeric) = 1.0350882224431706 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28710538934118240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.459999999999996400E-2 " "
y[1] (analytic) = 1.0351916170766056 " "
y[1] (numeric) = 1.0351916170766067 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07248069469538470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.46999999999999640E-2 " "
y[1] (analytic) = 1.0352950213581251 " "
y[1] (numeric) = 1.0352950213581267 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.50132300688187860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.47999999999999700E-2 " "
y[1] (analytic) = 1.0353984352866954 " "
y[1] (numeric) = 1.0353984352866965 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07226646939807550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.48999999999999750E-2 " "
y[1] (analytic) = 1.0355018588612808 " "
y[1] (numeric) = 1.0355018588612819 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07215937385766260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999997600E-2 " "
y[1] (analytic) = 1.0356052920808474 " "
y[1] (numeric) = 1.0356052920808487 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28646274766832770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.50999999999999760E-2 " "
y[1] (analytic) = 1.0357087349443617 " "
y[1] (numeric) = 1.0357087349443626 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.57556173597240300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.51999999999999800E-2 " "
y[1] (analytic) = 1.0358121874507877 " "
y[1] (numeric) = 1.035812187450789 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28620578681256810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.529999999999998700E-2 " "
y[1] (analytic) = 1.0359156495990929 " "
y[1] (numeric) = 1.0359156495990938 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.57384884612812800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.53999999999999870E-2 " "
y[1] (analytic) = 1.0360191213882408 " "
y[1] (numeric) = 1.036019121388242 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07162406726382070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.54999999999999870E-2 " "
y[1] (analytic) = 1.0361226028171981 " "
y[1] (numeric) = 1.0361226028171988 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.42910224102715600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.55999999999999900E-2 " "
y[1] (analytic) = 1.0362260938849288 " "
y[1] (numeric) = 1.0362260938849297 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.57128019591017800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.570000000000000000E-2 " "
y[1] (analytic) = 1.0363295945903985 " "
y[1] (numeric) = 1.0363295945903996 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07130302021719620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5800E-2 " "
y[1] (analytic) = 1.0364331049325726 " "
y[1] (numeric) = 1.0364331049325737 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07119602735710040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5900E-2 " "
y[1] (analytic) = 1.0365366249104158 " "
y[1] (numeric) = 1.0365366249104166 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.56871236727295900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.600000000000000400E-2 " "
y[1] (analytic) = 1.0366401545228923 " "
y[1] (numeric) = 1.0366401545228934 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07098207587388930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.61000000000000100E-2 " "
y[1] (analytic) = 1.0367436937689676 " "
y[1] (numeric) = 1.0367436937689685 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.56700093801632300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.62000000000000100E-2 " "
y[1] (analytic) = 1.0368472426476059 " "
y[1] (numeric) = 1.0368472426476067 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.56614536035363900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.63000000000000100E-2 " "
y[1] (analytic) = 1.0369508011577717 " "
y[1] (numeric) = 1.0369508011577726 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.56528987400810300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.640000000000001600E-2 " "
y[1] (analytic) = 1.0370543692984295 " "
y[1] (numeric) = 1.0370543692984304 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.56443447898474900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.65000000000000200E-2 " "
y[1] (analytic) = 1.0371579470685437 " "
y[1] (numeric) = 1.0371579470685446 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.56357917528859500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.66000000000000200E-2 " "
y[1] (analytic) = 1.0372615344670781 " "
y[1] (numeric) = 1.0372615344670792 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07034049536558250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.670000000000002000E-2 " "
y[1] (analytic) = 1.037365131492997 " "
y[1] (numeric) = 1.0373651314929984 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28428032628469100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.68000000000000270E-2 " "
y[1] (analytic) = 1.037468738145265 " "
y[1] (numeric) = 1.0374687381452663 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28415207183201460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.69000000000000300E-2 " "
y[1] (analytic) = 1.0375723544228455 " "
y[1] (numeric) = 1.0375723544228468 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2840238310814170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.70000000000000330E-2 " "
y[1] (analytic) = 1.0376759803247027 " "
y[1] (numeric) = 1.0376759803247038 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.069913003361370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.710000000000003300E-2 " "
y[1] (analytic) = 1.0377796158497998 " "
y[1] (numeric) = 1.037779615849801 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06980615890786740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.72000000000000400E-2 " "
y[1] (analytic) = 1.037883260997101 " "
y[1] (numeric) = 1.0378832609971018 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.55759460699700200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.73000000000000440E-2 " "
y[1] (analytic) = 1.0379869157655692 " "
y[1] (numeric) = 1.0379869157655701 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.55674003409809500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.740000000000004400E-2 " "
y[1] (analytic) = 1.0380905801541684 " "
y[1] (numeric) = 1.0380905801541693 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.55588555257114900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.75000000000000440E-2 " "
y[1] (analytic) = 1.0381942541618616 " "
y[1] (numeric) = 1.0381942541618627 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06937889530263690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.76000000000000500E-2 " "
y[1] (analytic) = 1.0382979377876125 " "
y[1] (numeric) = 1.0382979377876136 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06927210795660520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.77000000000000560E-2 " "
y[1] (analytic) = 1.0384016310303839 " "
y[1] (numeric) = 1.038401631030385 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06916533203391240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.780000000000005600E-2 " "
y[1] (analytic) = 1.0385053338891392 " "
y[1] (numeric) = 1.0385053338891401 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.55246854028135900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.79000000000000560E-2 " "
y[1] (analytic) = 1.0386090463628408 " "
y[1] (numeric) = 1.038609046362842 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06895181446098940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.80000000000000600E-2 " "
y[1] (analytic) = 1.038712768450452 " "
y[1] (numeric) = 1.0387127684504531 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06884507281197990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.810000000000006700E-2 " "
y[1] (analytic) = 1.038816500150936 " "
y[1] (numeric) = 1.0388165001509369 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.54990674070999500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.82000000000000700E-2 " "
y[1] (analytic) = 1.0389202414632546 " "
y[1] (numeric) = 1.0389202414632555 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.54905299033524600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.83000000000000700E-2 " "
y[1] (analytic) = 1.0390239923863707 " "
y[1] (numeric) = 1.0390239923863716 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.5481993313764390000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.84000000000000730E-2 " "
y[1] (analytic) = 1.039127752919247 " "
y[1] (numeric) = 1.0391277529192477 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.41050932287880800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.850000000000008000E-2 " "
y[1] (analytic) = 1.0392315230608458 " "
y[1] (numeric) = 1.0392315230608464 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40986921579449100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.86000000000000800E-2 " "
y[1] (analytic) = 1.0393353028101289 " "
y[1] (numeric) = 1.03933530281013 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06820486288049990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.87000000000000800E-2 " "
y[1] (analytic) = 1.0394390921660597 " "
y[1] (numeric) = 1.0394390921660603 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40858920734792900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.880000000000008400E-2 " "
y[1] (analytic) = 1.039542891127599 " "
y[1] (numeric) = 1.0395428911276 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.54393240799051800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.89000000000000900E-2 " "
y[1] (analytic) = 1.0396466996937095 " "
y[1] (numeric) = 1.0396466996937106 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0678849122035780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.90000000000000900E-2 " "
y[1] (analytic) = 1.0397505178633533 " "
y[1] (numeric) = 1.0397505178633542 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.54222627871633300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.91000000000000900E-2 " "
y[1] (analytic) = 1.0398543456354914 " "
y[1] (numeric) = 1.0398543456354925 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0676716689073030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.920000000000009600E-2 " "
y[1] (analytic) = 1.0399581830090867 " "
y[1] (numeric) = 1.0399581830090874 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40539038644473600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9300000000000100E-2 " "
y[1] (analytic) = 1.0400620299830998 " "
y[1] (numeric) = 1.0400620299831005 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40475082804357500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9400000000000100E-2 " "
y[1] (analytic) = 1.0401658865564924 " "
y[1] (numeric) = 1.0401658865564933 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.53881511765851800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.950000000000010000E-2 " "
y[1] (analytic) = 1.0402697527282265 " "
y[1] (numeric) = 1.0402697527282272 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40347191704922400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.96000000000001100E-2 " "
y[1] (analytic) = 1.040373628497263 " "
y[1] (numeric) = 1.0403736284972636 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40283256446312800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.97000000000001130E-2 " "
y[1] (analytic) = 1.0404775138625628 " "
y[1] (numeric) = 1.0404775138625637 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.53625770731884600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.98000000000001130E-2 " "
y[1] (analytic) = 1.0405814088230878 " "
y[1] (numeric) = 1.0405814088230887 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.53540542017435800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.990000000000011300E-2 " "
y[1] (analytic) = 1.0406853133777987 " "
y[1] (numeric) = 1.0406853133777996 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.5345532245220700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.00000000000001200E-2 " "
y[1] (analytic) = 1.0407892275256563 " "
y[1] (numeric) = 1.0407892275256572 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.53370112036666900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.01000000000001240E-2 " "
y[1] (analytic) = 1.0408931512656219 " "
y[1] (numeric) = 1.0408931512656225 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.39963683078462000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.020000000000012500E-2 " "
y[1] (analytic) = 1.0409970845966554 " "
y[1] (numeric) = 1.0409970845966565 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06649964832065150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.03000000000001250E-2 " "
y[1] (analytic) = 1.0411010275177186 " "
y[1] (numeric) = 1.0411010275177195 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.53114535692847800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.04000000000001300E-2 " "
y[1] (analytic) = 1.0412049800277716 " "
y[1] (numeric) = 1.0412049800277723 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.39772021410545300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.05000000000001360E-2 " "
y[1] (analytic) = 1.0413089421257742 " "
y[1] (numeric) = 1.0413089421257753 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06618024652577940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.060000000000013600E-2 " "
y[1] (analytic) = 1.0414129138106878 " "
y[1] (numeric) = 1.041412913810689 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06607380214124870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.07000000000001360E-2 " "
y[1] (analytic) = 1.0415168950814726 " "
y[1] (numeric) = 1.0415168950814733 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.39580421518736500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.08000000000001400E-2 " "
y[1] (analytic) = 1.0416208859370881 " "
y[1] (numeric) = 1.0416208859370888 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.39516568617775500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.090000000000015000E-2 " "
y[1] (analytic) = 1.0417248863764943 " "
y[1] (numeric) = 1.0417248863764954 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06575453763701880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.10000000000001500E-2 " "
y[1] (analytic) = 1.041828896398652 " "
y[1] (numeric) = 1.041828896398653 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06564813902064570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.11000000000001500E-2 " "
y[1] (analytic) = 1.0419329160025208 " "
y[1] (numeric) = 1.0419329160025217 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.52433401478196900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.12000000000001530E-2 " "
y[1] (analytic) = 1.0420369451870601 " "
y[1] (numeric) = 1.0420369451870612 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0654353761188920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.130000000000016000E-2 " "
y[1] (analytic) = 1.0421409839512303 " "
y[1] (numeric) = 1.0421409839512312 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.52263209467721900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.14000000000001600E-2 " "
y[1] (analytic) = 1.042245032293991 " "
y[1] (numeric) = 1.0422450322939916 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.3913359539735800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.15000000000001600E-2 " "
y[1] (analytic) = 1.0423490902143004 " "
y[1] (numeric) = 1.0423490902143016 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06511631760229350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.160000000000016500E-2 " "
y[1] (analytic) = 1.0424531577111193 " "
y[1] (numeric) = 1.0424531577111205 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06500998765530850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.17000000000001700E-2 " "
y[1] (analytic) = 1.0425572347834071 " "
y[1] (numeric) = 1.0425572347834078 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.3894220149312400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.18000000000001700E-2 " "
y[1] (analytic) = 1.0426613214301221 " "
y[1] (numeric) = 1.0426613214301228 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.3887841726153200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.19000000000001700E-2 " "
y[1] (analytic) = 1.0427654176502235 " "
y[1] (numeric) = 1.0427654176502246 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06469106649791150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.200000000000017600E-2 " "
y[1] (analytic) = 1.0428695234426715 " "
y[1] (numeric) = 1.0428695234426721 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38750869405105000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.21000000000001800E-2 " "
y[1] (analytic) = 1.042973638806424 " "
y[1] (numeric) = 1.0429736388064246 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38687105780943300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.22000000000001800E-2 " "
y[1] (analytic) = 1.0430777637404398 " "
y[1] (numeric) = 1.0430777637404405 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38623349026597700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.230000000000018000E-2 " "
y[1] (analytic) = 1.0431818982436782 " "
y[1] (numeric) = 1.043181898243679 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38559599142402700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.24000000000001900E-2 " "
y[1] (analytic) = 1.0432860423150976 " "
y[1] (numeric) = 1.0432860423150982 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38495856128692900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.25000000000001930E-2 " "
y[1] (analytic) = 1.0433901959536565 " "
y[1] (numeric) = 1.0433901959536571 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38432119985801600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.26000000000001930E-2 " "
y[1] (analytic) = 1.0434943591583137 " "
y[1] (numeric) = 1.0434943591583141 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.255789271427078400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.270000000000019300E-2 " "
y[1] (analytic) = 1.0435985319280268 " "
y[1] (numeric) = 1.0435985319280274 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38304668313806000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2800000000000200E-2 " "
y[1] (analytic) = 1.043702714261755 " "
y[1] (numeric) = 1.0437027142617554 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.25493968523576570000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2900000000000205E-2 " "
y[1] (analytic) = 1.0438069061584558 " "
y[1] (numeric) = 1.0438069061584563 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.254514960860465400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.300000000000020500E-2 " "
y[1] (analytic) = 1.0439111076170877 " "
y[1] (numeric) = 1.0439111076170882 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.254090282301670000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.31000000000002050E-2 " "
y[1] (analytic) = 1.0440153186366086 " "
y[1] (numeric) = 1.044015318636609 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.25366564956157700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.32000000000002100E-2 " "
y[1] (analytic) = 1.0441195392159757 " "
y[1] (numeric) = 1.0441195392159766 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.50648212528475600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.33000000000002160E-2 " "
y[1] (analytic) = 1.044223769354148 " "
y[1] (numeric) = 1.0442237693541487 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.37922478231938200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.340000000000021600E-2 " "
y[1] (analytic) = 1.0443280090500826 " "
y[1] (numeric) = 1.0443280090500833 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.37858803941308700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.35000000000002160E-2 " "
y[1] (analytic) = 1.044432258302737 " "
y[1] (numeric) = 1.0444322583027377 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.37795136524794900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.36000000000002200E-2 " "
y[1] (analytic) = 1.0445365171110685 " "
y[1] (numeric) = 1.0445365171110694 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.50308634643629900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.370000000000023000E-2 " "
y[1] (analytic) = 1.044640785474035 " "
y[1] (numeric) = 1.044640785474036 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06277970385902730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.38000000000002300E-2 " "
y[1] (analytic) = 1.044745063390594 " "
y[1] (numeric) = 1.0447450633905948 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.50138900697601200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.39000000000002300E-2 " "
y[1] (analytic) = 1.0448493508597023 " "
y[1] (numeric) = 1.044849350859703 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.37540535606399900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.40000000000002330E-2 " "
y[1] (analytic) = 1.0449536478803167 " "
y[1] (numeric) = 1.0449536478803176 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.4996920342044900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.410000000000024000E-2 " "
y[1] (analytic) = 1.0450579544513945 " "
y[1] (numeric) = 1.0450579544513956 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06235546066722270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.42000000000002400E-2 " "
y[1] (analytic) = 1.0451622705718933 " "
y[1] (numeric) = 1.0451622705718941 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.49799542815615200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.43000000000002400E-2 " "
y[1] (analytic) = 1.0452665962407692 " "
y[1] (numeric) = 1.04526659624077 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.37286044699791700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.440000000000024500E-2 " "
y[1] (analytic) = 1.0453709314569788 " "
y[1] (numeric) = 1.0453709314569797 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.49629918886526200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.45000000000002500E-2 " "
y[1] (analytic) = 1.0454752762194794 " "
y[1] (numeric) = 1.04547527621948 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.37158840507339400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.46000000000002500E-2 " "
y[1] (analytic) = 1.045579630527227 " "
y[1] (numeric) = 1.0455796305272278 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.49460331636593600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.47000000000002500E-2 " "
y[1] (analytic) = 1.0456839943791787 " "
y[1] (numeric) = 1.0456839943791791 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24687775883686400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.480000000000025600E-2 " "
y[1] (analytic) = 1.04578836777429 " "
y[1] (numeric) = 1.0457883677742905 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.2464539053460700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.49000000000002600E-2 " "
y[1] (analytic) = 1.0458927507115177 " "
y[1] (numeric) = 1.0458927507115183 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.36904514656904500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.50000000000002600E-2 " "
y[1] (analytic) = 1.045997143189818 " "
y[1] (numeric) = 1.0459971431898185 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24560633593884800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.510000000000026000E-2 " "
y[1] (analytic) = 1.0461015452081468 " "
y[1] (numeric) = 1.0461015452081472 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24518262002662900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.52000000000002700E-2 " "
y[1] (analytic) = 1.0462059567654602 " "
y[1] (numeric) = 1.0462059567654607 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24475894997813600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.53000000000002730E-2 " "
y[1] (analytic) = 1.0463103778607143 " "
y[1] (numeric) = 1.0463103778607146 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.1221676628977300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.540000000000027300E-2 " "
y[1] (analytic) = 1.0464148084928642 " "
y[1] (numeric) = 1.0464148084928646 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24391174748069300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.550000000000027400E-2 " "
y[1] (analytic) = 1.046519248660866 " "
y[1] (numeric) = 1.0465192486608665 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.243488215035915400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.56000000000002800E-2 " "
y[1] (analytic) = 1.0466236983636752 " "
y[1] (numeric) = 1.0466236983636759 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.36459709269481300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.57000000000002850E-2 " "
y[1] (analytic) = 1.0467281576002478 " "
y[1] (numeric) = 1.0467281576002483 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.242641287764641300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.580000000000028500E-2 " "
y[1] (analytic) = 1.0468326263695389 " "
y[1] (numeric) = 1.046832626369539 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.12110894647114380000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.59000000000002850E-2 " "
y[1] (analytic) = 1.0469371046705032 " "
y[1] (numeric) = 1.0469371046705036 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24179454399821300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.60000000000002900E-2 " "
y[1] (analytic) = 1.0470415925020968 " "
y[1] (numeric) = 1.047041592502097 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.12068562046723700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.610000000000029600E-2 " "
y[1] (analytic) = 1.0471460898632747 " "
y[1] (numeric) = 1.0471460898632747 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.620000000000029600E-2 " "
y[1] (analytic) = 1.047250596752991 " "
y[1] (numeric) = 1.0472505967529915 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.240524772456228000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6300000000000296E-2 " "
y[1] (analytic) = 1.0473551131702021 " "
y[1] (numeric) = 1.0473551131702021 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6400000000000300E-2 " "
y[1] (analytic) = 1.0474596391138613 " "
y[1] (numeric) = 1.0474596391138618 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.23967848752393900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.650000000000031000E-2 " "
y[1] (analytic) = 1.0475641745829245 " "
y[1] (numeric) = 1.047564174582925 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.23925541389262900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.66000000000003100E-2 " "
y[1] (analytic) = 1.0476687195763463 " "
y[1] (numeric) = 1.0476687195763463 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.67000000000003100E-2 " "
y[1] (analytic) = 1.04777327409308 " "
y[1] (numeric) = 1.0477732740930805 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.23840940430984360000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.680000000000031400E-2 " "
y[1] (analytic) = 1.0478778381320815 " "
y[1] (numeric) = 1.047877838132082 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.23798646836241900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.690000000000032000E-2 " "
y[1] (analytic) = 1.0479824116923049 " "
y[1] (numeric) = 1.0479824116923049 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.70000000000003200E-2 " "
y[1] (analytic) = 1.0480869947727038 " "
y[1] (numeric) = 1.0480869947727038 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.71000000000003200E-2 " "
y[1] (analytic) = 1.0481915873722327 " "
y[1] (numeric) = 1.0481915873722327 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.720000000000032500E-2 " "
y[1] (analytic) = 1.0482961894898462 " "
y[1] (numeric) = 1.048296189489846 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.11814759178977300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.73000000000003300E-2 " "
y[1] (analytic) = 1.048400801124497 " "
y[1] (numeric) = 1.0484008011244972 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.117936238572786500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.74000000000003300E-2 " "
y[1] (analytic) = 1.0485054222751402 " "
y[1] (numeric) = 1.0485054222751404 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.117724908310146800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.750000000000033000E-2 " "
y[1] (analytic) = 1.0486100529407292 " "
y[1] (numeric) = 1.0486100529407294 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.117513601002850300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.760000000000033600E-2 " "
y[1] (analytic) = 1.048714693120218 " "
y[1] (numeric) = 1.0487146931202178 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.117302316651889500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.77000000000003400E-2 " "
y[1] (analytic) = 1.0488193428125592 " "
y[1] (numeric) = 1.0488193428125594 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.117091055258257500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.78000000000003400E-2 " "
y[1] (analytic) = 1.0489240020167072 " "
y[1] (numeric) = 1.0489240020167074 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.116879816822940800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.790000000000034000E-2 " "
y[1] (analytic) = 1.0490286707316154 " "
y[1] (numeric) = 1.0490286707316154 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.80000000000003500E-2 " "
y[1] (analytic) = 1.0491333489562367 " "
y[1] (numeric) = 1.0491333489562367 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.81000000000003540E-2 " "
y[1] (analytic) = 1.0492380366895244 " "
y[1] (numeric) = 1.0492380366895244 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.820000000000035400E-2 " "
y[1] (analytic) = 1.049342733930432 " "
y[1] (numeric) = 1.0493427339304318 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.116035092684523700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.83000000000003540E-2 " "
y[1] (analytic) = 1.0494474406779117 " "
y[1] (numeric) = 1.0494474406779117 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.84000000000003600E-2 " "
y[1] (analytic) = 1.0495521569309174 " "
y[1] (numeric) = 1.0495521569309174 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.85000000000003650E-2 " "
y[1] (analytic) = 1.0496568826884016 " "
y[1] (numeric) = 1.0496568826884014 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.11540179069112880000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.860000000000036500E-2 " "
y[1] (analytic) = 1.049761617949317 " "
y[1] (numeric) = 1.0497616179493168 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.115190735957653800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.87000000000003650E-2 " "
y[1] (analytic) = 1.0498663627126161 " "
y[1] (numeric) = 1.049866362712616 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.114979704191288500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.88000000000003700E-2 " "
y[1] (analytic) = 1.0499711169772512 " "
y[1] (numeric) = 1.0499711169772514 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.114768695393000600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.890000000000037600E-2 " "
y[1] (analytic) = 1.0500758807421757 " "
y[1] (numeric) = 1.0500758807421757 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.90000000000003770E-2 " "
y[1] (analytic) = 1.0501806540063412 " "
y[1] (numeric) = 1.0501806540063412 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.91000000000003770E-2 " "
y[1] (analytic) = 1.0502854367687 " "
y[1] (numeric) = 1.0502854367687 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.92000000000003800E-2 " "
y[1] (analytic) = 1.0503902290282046 " "
y[1] (numeric) = 1.0503902290282046 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.930000000000039000E-2 " "
y[1] (analytic) = 1.0504950307838068 " "
y[1] (numeric) = 1.0504950307838068 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.94000000000003900E-2 " "
y[1] (analytic) = 1.0505998420344584 " "
y[1] (numeric) = 1.0505998420344587 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.113503124986654300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.95000000000003900E-2 " "
y[1] (analytic) = 1.0507046627791121 " "
y[1] (numeric) = 1.0507046627791121 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.960000000000039400E-2 " "
y[1] (analytic) = 1.0508094930167189 " "
y[1] (numeric) = 1.0508094930167189 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9700000000000400E-2 " "
y[1] (analytic) = 1.050914332746231 " "
y[1] (numeric) = 1.0509143327462307 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.112870649930030400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9800000000000400E-2 " "
y[1] (analytic) = 1.0510191819665997 " "
y[1] (numeric) = 1.0510191819665993 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.22531974173022600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9900000000000400E-2 " "
y[1] (analytic) = 1.0511240406767763 " "
y[1] (numeric) = 1.0511240406767761 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.112449114778744400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000000000000040000E-2 " "
y[1] (analytic) = 1.0512289088757125 " "
y[1] (numeric) = 1.0512289088757125 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.01000000000004100E-2 " "
y[1] (analytic) = 1.0513337865623598 " "
y[1] (numeric) = 1.0513337865623598 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.02000000000004100E-2 " "
y[1] (analytic) = 1.0514386737356691 " "
y[1] (numeric) = 1.0514386737356691 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.030000000000041000E-2 " "
y[1] (analytic) = 1.0515435703945917 " "
y[1] (numeric) = 1.0515435703945917 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.04000000000004200E-2 " "
y[1] (analytic) = 1.0516484765380785 " "
y[1] (numeric) = 1.0516484765380785 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.05000000000004200E-2 " "
y[1] (analytic) = 1.051753392165081 " "
y[1] (numeric) = 1.0517533921650806 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.222370121724877700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.06000000000004200E-2 " "
y[1] (analytic) = 1.0518583172745488 " "
y[1] (numeric) = 1.0518583172745488 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.070000000000042000E-2 " "
y[1] (analytic) = 1.0519632518654338 " "
y[1] (numeric) = 1.0519632518654338 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.08000000000004200E-2 " "
y[1] (analytic) = 1.0520681959366867 " "
y[1] (numeric) = 1.0520681959366862 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.22110668838037830000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.09000000000004300E-2 " "
y[1] (analytic) = 1.052173149487257 " "
y[1] (numeric) = 1.0521731494872568 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.11034281794054200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.100000000000043000E-2 " "
y[1] (analytic) = 1.0522781125160958 " "
y[1] (numeric) = 1.0522781125160958 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.11000000000004300E-2 " "
y[1] (analytic) = 1.0523830850221538 " "
y[1] (numeric) = 1.0523830850221536 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10992183440839920000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.12000000000004500E-2 " "
y[1] (analytic) = 1.052488067004381 " "
y[1] (numeric) = 1.0524880670043806 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.21942275425545600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.13000000000004500E-2 " "
y[1] (analytic) = 1.0525930584617273 " "
y[1] (numeric) = 1.052593058461727 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.21900188567707400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.140000000000045000E-2 " "
y[1] (analytic) = 1.0526980593931428 " "
y[1] (numeric) = 1.0526980593931428 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.15000000000004500E-2 " "
y[1] (analytic) = 1.052803069797578 " "
y[1] (numeric) = 1.0528030697975779 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.109080143238219500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.16000000000004500E-2 " "
y[1] (analytic) = 1.0529080896739829 " "
y[1] (numeric) = 1.0529080896739824 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.21773955585779740000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.170000000000046000E-2 " "
y[1] (analytic) = 1.0530131190213061 " "
y[1] (numeric) = 1.053013119021306 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.108659435614672300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.18000000000004600E-2 " "
y[1] (analytic) = 1.0531181578384983 " "
y[1] (numeric) = 1.0531181578384983 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.19000000000004600E-2 " "
y[1] (analytic) = 1.0532232061245095 " "
y[1] (numeric) = 1.053223206124509 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.21647763995017300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.20000000000004700E-2 " "
y[1] (analytic) = 1.0533282638782882 " "
y[1] (numeric) = 1.0533282638782877 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.216057093303033400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.210000000000047000E-2 " "
y[1] (analytic) = 1.053433331098784 " "
y[1] (numeric) = 1.0534333310987838 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10781829632661800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.22000000000004700E-2 " "
y[1] (analytic) = 1.0535384077849468 " "
y[1] (numeric) = 1.0535384077849466 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.107608069001278300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.23000000000004700E-2 " "
y[1] (analytic) = 1.0536434939357255 " "
y[1] (numeric) = 1.053643493935725 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.21479572935276900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.240000000000047000E-2 " "
y[1] (analytic) = 1.053748589550069 " "
y[1] (numeric) = 1.053748589550069 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.25000000000004800E-2 " "
y[1] (analytic) = 1.053853694626927 " "
y[1] (numeric) = 1.0538536946269266 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.2139550500629397000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.26000000000004800E-2 " "
y[1] (analytic) = 1.0539588091652476 " "
y[1] (numeric) = 1.0539588091652474 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10676738971321100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.27000000000004800E-2 " "
y[1] (analytic) = 1.0540639331639805 " "
y[1] (numeric) = 1.05406393316398 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.213114554797842000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.280000000000049000E-2 " "
y[1] (analytic) = 1.0541690666220735 " "
y[1] (numeric) = 1.0541690666220735 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.29000000000004900E-2 " "
y[1] (analytic) = 1.0542742095384765 " "
y[1] (numeric) = 1.0542742095384763 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.106137121785749400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.30000000000004900E-2 " "
y[1] (analytic) = 1.054379361912137 " "
y[1] (numeric) = 1.0543793619121369 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.105927078488611000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.310000000000049000E-2 " "
y[1] (analytic) = 1.0544845237420042 " "
y[1] (numeric) = 1.054484523742004 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.1057170581989300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3200000000000490E-2 " "
y[1] (analytic) = 1.054589695027026 " "
y[1] (numeric) = 1.0545896950270257 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.105507060917573300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3300000000000500E-2 " "
y[1] (analytic) = 1.0546948757661505 " "
y[1] (numeric) = 1.0546948757661505 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3400000000000500E-2 " "
y[1] (analytic) = 1.054800065958327 " "
y[1] (numeric) = 1.0548000659583265 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.21017427076656700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.350000000000050000E-2 " "
y[1] (analytic) = 1.054905265602502 " "
y[1] (numeric) = 1.054905265602502 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.36000000000005100E-2 " "
y[1] (analytic) = 1.055010474697625 " "
y[1] (numeric) = 1.0550104746976248 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.1046673018926298000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.37000000000005100E-2 " "
y[1] (analytic) = 1.0551156932426426 " "
y[1] (numeric) = 1.0551156932426426 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.380000000000051000E-2 " "
y[1] (analytic) = 1.0552209212365036 " "
y[1] (numeric) = 1.0552209212365036 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.39000000000005100E-2 " "
y[1] (analytic) = 1.0553261586781555 " "
y[1] (numeric) = 1.0553261586781553 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10403772425344200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.40000000000005100E-2 " "
y[1] (analytic) = 1.0554314055665457 " "
y[1] (numeric) = 1.0554314055665455 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10382791106959600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.41000000000005300E-2 " "
y[1] (analytic) = 1.055536661900622 " "
y[1] (numeric) = 1.0555366619006217 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.1036181209017701000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.420000000000053000E-2 " "
y[1] (analytic) = 1.0556419276793314 " "
y[1] (numeric) = 1.0556419276793312 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10340835375080900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.43000000000005300E-2 " "
y[1] (analytic) = 1.0557472029016215 " "
y[1] (numeric) = 1.0557472029016215 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.44000000000005400E-2 " "
y[1] (analytic) = 1.0558524875664395 " "
y[1] (numeric) = 1.0558524875664397 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.102988888502847500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.450000000000054000E-2 " "
y[1] (analytic) = 1.055957781672733 " "
y[1] (numeric) = 1.055957781672733 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.46000000000005400E-2 " "
y[1] (analytic) = 1.0560630852194486 " "
y[1] (numeric) = 1.0560630852194486 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.47000000000005400E-2 " "
y[1] (analytic) = 1.056168398205533 " "
y[1] (numeric) = 1.0561683982055332 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10235986327836400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.48000000000005400E-2 " "
y[1] (analytic) = 1.0562737206299337 " "
y[1] (numeric) = 1.0562737206299337 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.490000000000055000E-2 " "
y[1] (analytic) = 1.056379052491597 " "
y[1] (numeric) = 1.0563790524915972 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.101940628236733700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.50000000000005500E-2 " "
y[1] (analytic) = 1.0564843937894701 " "
y[1] (numeric) = 1.0564843937894701 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.51000000000005500E-2 " "
y[1] (analytic) = 1.056589744522499 " "
y[1] (numeric) = 1.056589744522499 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.520000000000056000E-2 " "
y[1] (analytic) = 1.0566951046896302 " "
y[1] (numeric) = 1.0566951046896305 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.101311948352875800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.53000000000005600E-2 " "
y[1] (analytic) = 1.0568004742898107 " "
y[1] (numeric) = 1.056800474289811 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10110243444250280000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.54000000000005600E-2 " "
y[1] (analytic) = 1.0569058533219864 " "
y[1] (numeric) = 1.0569058533219866 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10089294355895100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.55000000000005600E-2 " "
y[1] (analytic) = 1.0570112417851032 " "
y[1] (numeric) = 1.0570112417851036 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.20136695140607250000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.560000000000056000E-2 " "
y[1] (analytic) = 1.057116639678108 " "
y[1] (numeric) = 1.0571166396781084 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.2009480617511400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.57000000000005700E-2 " "
y[1] (analytic) = 1.0572220469999465 " "
y[1] (numeric) = 1.0572220469999467 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.10026460907736380000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.58000000000005700E-2 " "
y[1] (analytic) = 1.0573274637495642 " "
y[1] (numeric) = 1.0573274637495644 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.100055210309227600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.590000000000057000E-2 " "
y[1] (analytic) = 1.0574328899259076 " "
y[1] (numeric) = 1.0574328899259076 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.60000000000005800E-2 " "
y[1] (analytic) = 1.0575383255279218 " "
y[1] (numeric) = 1.0575383255279218 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.61000000000005800E-2 " "
y[1] (analytic) = 1.0576437705545527 " "
y[1] (numeric) = 1.0576437705545527 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.62000000000005800E-2 " "
y[1] (analytic) = 1.0577492250047462 " "
y[1] (numeric) = 1.057749225004746 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.09921784555346700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.630000000000058000E-2 " "
y[1] (analytic) = 1.057854688877447 " "
y[1] (numeric) = 1.057854688877447 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.64000000000005800E-2 " "
y[1] (analytic) = 1.057960162171601 " "
y[1] (numeric) = 1.057960162171601 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.65000000000005900E-2 " "
y[1] (analytic) = 1.0580656448861536 " "
y[1] (numeric) = 1.0580656448861536 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.660000000000059000E-2 " "
y[1] (analytic) = 1.0581711370200497 " "
y[1] (numeric) = 1.0581711370200497 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6700000000000590E-2 " "
y[1] (analytic) = 1.0582766385722342 " "
y[1] (numeric) = 1.0582766385722344 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.098171657881450200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6800000000000610E-2 " "
y[1] (analytic) = 1.0583821495416523 " "
y[1] (numeric) = 1.0583821495416528 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.19592497891599800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6900000000000610E-2 " "
y[1] (analytic) = 1.0584876699272496 " "
y[1] (numeric) = 1.0584876699272496 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000061000E-2 " "
y[1] (analytic) = 1.0585931997279694 " "
y[1] (numeric) = 1.0585931997279696 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.097544221728336300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.71000000000006100E-2 " "
y[1] (analytic) = 1.0586987389427576 " "
y[1] (numeric) = 1.0586987389427576 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.72000000000006100E-2 " "
y[1] (analytic) = 1.058804287570558 " "
y[1] (numeric) = 1.0588042875705581 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.097126046160201500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.730000000000062000E-2 " "
y[1] (analytic) = 1.058909845610316 " "
y[1] (numeric) = 1.0589098456103159 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.09691699293864900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.74000000000006200E-2 " "
y[1] (analytic) = 1.059015413060975 " "
y[1] (numeric) = 1.0590154130609752 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.096707962759807600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.75000000000006200E-2 " "
y[1] (analytic) = 1.0591209899214804 " "
y[1] (numeric) = 1.0591209899214804 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.76000000000006300E-2 " "
y[1] (analytic) = 1.0592265761907758 " "
y[1] (numeric) = 1.0592265761907758 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.770000000000063000E-2 " "
y[1] (analytic) = 1.0593321718678053 " "
y[1] (numeric) = 1.0593321718678053 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.78000000000006300E-2 " "
y[1] (analytic) = 1.059437776951513 " "
y[1] (numeric) = 1.059437776951513 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.79000000000006300E-2 " "
y[1] (analytic) = 1.059543391440843 " "
y[1] (numeric) = 1.059543391440843 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000063000E-2 " "
y[1] (analytic) = 1.059649015334739 " "
y[1] (numeric) = 1.059649015334739 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.81000000000006400E-2 " "
y[1] (analytic) = 1.0597546486321447 " "
y[1] (numeric) = 1.059754648632145 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.095245396768304300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.82000000000006400E-2 " "
y[1] (analytic) = 1.0598602913320043 " "
y[1] (numeric) = 1.0598602913320043 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.83000000000006400E-2 " "
y[1] (analytic) = 1.059965943433261 " "
y[1] (numeric) = 1.059965943433261 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.840000000000065000E-2 " "
y[1] (analytic) = 1.060071604934858 " "
y[1] (numeric) = 1.060071604934858 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.85000000000006500E-2 " "
y[1] (analytic) = 1.0601772758357386 " "
y[1] (numeric) = 1.060177275835739 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.188820303660883000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.86000000000006500E-2 " "
y[1] (analytic) = 1.060282956134847 " "
y[1] (numeric) = 1.0602829561348472 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.094201398223660700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.870000000000065000E-2 " "
y[1] (analytic) = 1.0603886458311256 " "
y[1] (numeric) = 1.0603886458311258 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.093992667669448700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.88000000000006500E-2 " "
y[1] (analytic) = 1.060494344923518 " "
y[1] (numeric) = 1.060494344923518 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.89000000000006600E-2 " "
y[1] (analytic) = 1.0606000534109665 " "
y[1] (numeric) = 1.0606000534109667 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.09357527572169900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.90000000000006600E-2 " "
y[1] (analytic) = 1.0607057712924148 " "
y[1] (numeric) = 1.0607057712924148 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.910000000000066000E-2 " "
y[1] (analytic) = 1.0608114985668053 " "
y[1] (numeric) = 1.0608114985668053 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.92000000000006700E-2 " "
y[1] (analytic) = 1.0609172352330807 " "
y[1] (numeric) = 1.060917235233081 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.09294936071284300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.93000000000006700E-2 " "
y[1] (analytic) = 1.0610229812901841 " "
y[1] (numeric) = 1.061022981290184 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.092740768489568500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.940000000000067000E-2 " "
y[1] (analytic) = 1.0611287367370574 " "
y[1] (numeric) = 1.0611287367370572 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.092532199324019200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.95000000000006700E-2 " "
y[1] (analytic) = 1.0612345015726432 " "
y[1] (numeric) = 1.0612345015726432 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.96000000000006700E-2 " "
y[1] (analytic) = 1.0613402757958839 " "
y[1] (numeric) = 1.061340275795884 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.092115130169004700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.97000000000006900E-2 " "
y[1] (analytic) = 1.0614460594057222 " "
y[1] (numeric) = 1.0614460594057222 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.980000000000069000E-2 " "
y[1] (analytic) = 1.0615518524010998 " "
y[1] (numeric) = 1.0615518524010998 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.99000000000006900E-2 " "
y[1] (analytic) = 1.0616576547809586 " "
y[1] (numeric) = 1.0616576547809589 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.09148969938754480000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.00000000000007000E-2 " "
y[1] (analytic) = 1.0617634665442413 " "
y[1] (numeric) = 1.0617634665442413 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.010000000000070000E-2 " "
y[1] (analytic) = 1.061869287689889 " "
y[1] (numeric) = 1.061869287689889 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0200000000000700E-2 " "
y[1] (analytic) = 1.0619751182168438 " "
y[1] (numeric) = 1.0619751182168438 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0300000000000700E-2 " "
y[1] (analytic) = 1.0620809581240476 " "
y[1] (numeric) = 1.0620809581240473 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.090656114551083500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0400000000000700E-2 " "
y[1] (analytic) = 1.0621868074104417 " "
y[1] (numeric) = 1.0621868074104415 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.090447776002461700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.050000000000071000E-2 " "
y[1] (analytic) = 1.0622926660749674 " "
y[1] (numeric) = 1.0622926660749674 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.06000000000007100E-2 " "
y[1] (analytic) = 1.0623985341165672 " "
y[1] (numeric) = 1.0623985341165667 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.18006233620552840000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.07000000000007100E-2 " "
y[1] (analytic) = 1.062504411534181 " "
y[1] (numeric) = 1.0625044115341806 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.17964579750618900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.080000000000072000E-2 " "
y[1] (analytic) = 1.0626102983267507 " "
y[1] (numeric) = 1.0626102983267505 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.089614652471145400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.09000000000007200E-2 " "
y[1] (analytic) = 1.0627161944932177 " "
y[1] (numeric) = 1.0627161944932173 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.17881285851522600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.10000000000007200E-2 " "
y[1] (analytic) = 1.0628221000325226 " "
y[1] (numeric) = 1.0628221000325222 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.178396458226389400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.11000000000007200E-2 " "
y[1] (analytic) = 1.0629280149436067 " "
y[1] (numeric) = 1.0629280149436062 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.17798010407716700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.120000000000072000E-2 " "
y[1] (analytic) = 1.0630339392254102 " "
y[1] (numeric) = 1.06303393922541 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.08878189803447100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.13000000000007300E-2 " "
y[1] (analytic) = 1.0631398728768748 " "
y[1] (numeric) = 1.0631398728768744 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.17714753420309170000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.14000000000007300E-2 " "
y[1] (analytic) = 1.0632458158969404 " "
y[1] (numeric) = 1.06324581589694 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.17673131848099230000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.150000000000073000E-2 " "
y[1] (analytic) = 1.0633517682845477 " "
y[1] (numeric) = 1.0633517682845475 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.088157574452006400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.16000000000007400E-2 " "
y[1] (analytic) = 1.0634577300386379 " "
y[1] (numeric) = 1.0634577300386372 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.26384853821027500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.17000000000007400E-2 " "
y[1] (analytic) = 1.06356370115815 " "
y[1] (numeric) = 1.0635637011581496 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.1754829481908700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.18000000000007400E-2 " "
y[1] (analytic) = 1.0636696816420257 " "
y[1] (numeric) = 1.063669681642025 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.26260037558613900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.190000000000074000E-2 " "
y[1] (analytic) = 1.0637756714892044 " "
y[1] (numeric) = 1.0637756714892037 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.2619763981118090000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.20000000000007400E-2 " "
y[1] (analytic) = 1.0638816706986263 " "
y[1] (numeric) = 1.0638816706986256 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.26135248986533800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.21000000000007500E-2 " "
y[1] (analytic) = 1.0639876792692315 " "
y[1] (numeric) = 1.0639876792692309 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.26072865084874100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.220000000000075000E-2 " "
y[1] (analytic) = 1.0640936971999597 " "
y[1] (numeric) = 1.0640936971999593 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.173403254042687400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.23000000000007500E-2 " "
y[1] (analytic) = 1.064199724489751 " "
y[1] (numeric) = 1.0641997244897508 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.086493726837736500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.24000000000007700E-2 " "
y[1] (analytic) = 1.0643057611375455 " "
y[1] (numeric) = 1.0643057611375448 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.25885754919827200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.25000000000007700E-2 " "
y[1] (analytic) = 1.0644118071422817 " "
y[1] (numeric) = 1.0644118071422815 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.086077995707071600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.26000000000007700E-2 " "
y[1] (analytic) = 1.0645178625029006 " "
y[1] (numeric) = 1.0645178625029 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.25761049428401600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.27000000000007700E-2 " "
y[1] (analytic) = 1.0646239272183404 " "
y[1] (numeric) = 1.0646239272183398 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.25698707068865900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.28000000000007700E-2 " "
y[1] (analytic) = 1.0647300012875407 " "
y[1] (numeric) = 1.0647300012875403 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.17090914422474300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.29000000000007800E-2 " "
y[1] (analytic) = 1.0648360847094414 " "
y[1] (numeric) = 1.0648360847094407 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.25574043123134700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.30000000000007800E-2 " "
y[1] (analytic) = 1.0649421774829806 " "
y[1] (numeric) = 1.0649421774829804 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.085039071791105800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.31000000000007800E-2 " "
y[1] (analytic) = 1.0650482796070988 " "
y[1] (numeric) = 1.0650482796070984 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.169662712509982000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.32000000000007900E-2 " "
y[1] (analytic) = 1.065154391080734 " "
y[1] (numeric) = 1.0651543910807335 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.169247327605511400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.33000000000007900E-2 " "
y[1] (analytic) = 1.065260511902825 " "
y[1] (numeric) = 1.0652605119028247 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.084415994435046300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.34000000000007900E-2 " "
y[1] (analytic) = 1.065366642072311 " "
y[1] (numeric) = 1.0653666420723107 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.084208348152505600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.35000000000007900E-2 " "
y[1] (analytic) = 1.0654727815881304 " "
y[1] (numeric) = 1.0654727815881302 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.08400072495577800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3600000000000790E-2 " "
y[1] (analytic) = 1.0655789304492225 " "
y[1] (numeric) = 1.065578930449222 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.16758624969100400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3700000000000800E-2 " "
y[1] (analytic) = 1.065685088654525 " "
y[1] (numeric) = 1.0656850886545246 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.16717109564463400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3800000000000800E-2 " "
y[1] (analytic) = 1.0657912562029765 " "
y[1] (numeric) = 1.065791256202976 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.166755987773718700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3900000000000800E-2 " "
y[1] (analytic) = 1.0658974330935158 " "
y[1] (numeric) = 1.0658974330935151 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.24951138911928700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.4000000000000810E-2 " "
y[1] (analytic) = 1.0660036193250804 " "
y[1] (numeric) = 1.06600361932508 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.16592591056331600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.41000000000008100E-2 " "
y[1] (analytic) = 1.0661098148966084 " "
y[1] (numeric) = 1.0661098148966084 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.42000000000008100E-2 " "
y[1] (analytic) = 1.066216019807039 " "
y[1] (numeric) = 1.0662160198070387 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.082548009034945500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.43000000000008100E-2 " "
y[1] (analytic) = 1.066322234055309 " "
y[1] (numeric) = 1.066322234055309 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.44000000000008100E-2 " "
y[1] (analytic) = 1.0664284576403567 " "
y[1] (numeric) = 1.0664284576403567 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.45000000000008200E-2 " "
y[1] (analytic) = 1.0665346905611197 " "
y[1] (numeric) = 1.06653469056112 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.081925762847998400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.46000000000008200E-2 " "
y[1] (analytic) = 1.0666409328165365 " "
y[1] (numeric) = 1.0666409328165363 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.081718393637001500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.47000000000008200E-2 " "
y[1] (analytic) = 1.0667471844055432 " "
y[1] (numeric) = 1.0667471844055432 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.48000000000008300E-2 " "
y[1] (analytic) = 1.0668534453270784 " "
y[1] (numeric) = 1.0668534453270782 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.081303724495695600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.49000000000008300E-2 " "
y[1] (analytic) = 1.0669597155800787 " "
y[1] (numeric) = 1.0669597155800787 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.50000000000008300E-2 " "
y[1] (analytic) = 1.0670659951634822 " "
y[1] (numeric) = 1.0670659951634822 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.51000000000008300E-2 " "
y[1] (analytic) = 1.0671722840762259 " "
y[1] (numeric) = 1.0671722840762257 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.080681893994645300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.52000000000008400E-2 " "
y[1] (analytic) = 1.0672785823172464 " "
y[1] (numeric) = 1.0672785823172464 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.53000000000008500E-2 " "
y[1] (analytic) = 1.0673848898854814 " "
y[1] (numeric) = 1.0673848898854812 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.08026745580831900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.54000000000008500E-2 " "
y[1] (analytic) = 1.0674912067798674 " "
y[1] (numeric) = 1.0674912067798672 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.080060271361281700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.55000000000008500E-2 " "
y[1] (analytic) = 1.0675975329993408 " "
y[1] (numeric) = 1.067597532999341 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.07985311001246400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.56000000000008600E-2 " "
y[1] (analytic) = 1.0677038685428397 " "
y[1] (numeric) = 1.0677038685428395 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.079645971762461300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.57000000000008600E-2 " "
y[1] (analytic) = 1.0678102134092993 " "
y[1] (numeric) = 1.0678102134092993 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.58000000000008600E-2 " "
y[1] (analytic) = 1.0679165675976572 " "
y[1] (numeric) = 1.067916567597657 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.0792317645612900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.59000000000008600E-2 " "
y[1] (analytic) = 1.068022931106849 " "
y[1] (numeric) = 1.068022931106849 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.60000000000008600E-2 " "
y[1] (analytic) = 1.0681293039358115 " "
y[1] (numeric) = 1.0681293039358117 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.078817649762513300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.61000000000008700E-2 " "
y[1] (analytic) = 1.0682356860834812 " "
y[1] (numeric) = 1.0682356860834814 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.07861062701549580000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.62000000000008700E-2 " "
y[1] (analytic) = 1.068342077548794 " "
y[1] (numeric) = 1.0683420775487942 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.078403627370840600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.63000000000008700E-2 " "
y[1] (analytic) = 1.0684484783306858 " "
y[1] (numeric) = 1.0684484783306862 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.15639330165826300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.64000000000008800E-2 " "
y[1] (analytic) = 1.0685548884280929 " "
y[1] (numeric) = 1.0685548884280933 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.155979394781899600000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.65000000000008800E-2 " "
y[1] (analytic) = 1.0686613078399514 " "
y[1] (numeric) = 1.0686613078399516 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.07778276705687500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.66000000000008800E-2 " "
y[1] (analytic) = 1.0687677365651966 " "
y[1] (numeric) = 1.0687677365651969 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.077575859827484600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.67000000000008800E-2 " "
y[1] (analytic) = 1.0688741746027643 " "
y[1] (numeric) = 1.0688741746027646 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.077368975703354800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.68000000000008800E-2 " "
y[1] (analytic) = 1.0689806219515905 " "
y[1] (numeric) = 1.0689806219515907 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.07716211468505700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.69000000000008900E-2 " "
y[1] (analytic) = 1.0690870786106104 " "
y[1] (numeric) = 1.0690870786106106 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.076955276773163600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.70000000000008900E-2 " "
y[1] (analytic) = 1.0691935445787593 " "
y[1] (numeric) = 1.0691935445787597 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.153496923936488000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7100000000000890E-2 " "
y[1] (analytic) = 1.069300019854973 " "
y[1] (numeric) = 1.0693000198549734 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.153083340541727000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7200000000000900E-2 " "
y[1] (analytic) = 1.0694065044381862 " "
y[1] (numeric) = 1.0694065044381866 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.15266980336317800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7300000000000900E-2 " "
y[1] (analytic) = 1.0695129983273346 " "
y[1] (numeric) = 1.069512998327335 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.15225631240196400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7400000000000900E-2 " "
y[1] (analytic) = 1.0696195015213532 " "
y[1] (numeric) = 1.0696195015213534 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.075921433829603400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7500000000000900E-2 " "
y[1] (analytic) = 1.0697260140191762 " "
y[1] (numeric) = 1.0697260140191767 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.15142946913602600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.76000000000009000E-2 " "
y[1] (analytic) = 1.0698325358197396 " "
y[1] (numeric) = 1.0698325358197398 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.07550805841676600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.77000000000009200E-2 " "
y[1] (analytic) = 1.069939066921977 " "
y[1] (numeric) = 1.0699390669219777 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.22590421612925500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.78000000000009200E-2 " "
y[1] (analytic) = 1.0700456073248243 " "
y[1] (numeric) = 1.0700456073248248 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.15018955089504300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.79000000000009200E-2 " "
y[1] (analytic) = 1.0701521570272152 " "
y[1] (numeric) = 1.0701521570272159 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.22466450589187900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.80000000000009300E-2 " "
y[1] (analytic) = 1.0702587160280848 " "
y[1] (numeric) = 1.0702587160280854 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.22404475477884100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.81000000000009300E-2 " "
y[1] (analytic) = 1.070365284326367 " "
y[1] (numeric) = 1.0703652843263678 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.29790009734012600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.82000000000009300E-2 " "
y[1] (analytic) = 1.0704718619209967 " "
y[1] (numeric) = 1.0704718619209972 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.14853697371484360000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.83000000000009300E-2 " "
y[1] (analytic) = 1.0705784488109074 " "
y[1] (numeric) = 1.070578448810908 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.22218591748198800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.84000000000009300E-2 " "
y[1] (analytic) = 1.0706850449950336 " "
y[1] (numeric) = 1.0706850449950343 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.22156644373587800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.85000000000009400E-2 " "
y[1] (analytic) = 1.0707916504723096 " "
y[1] (numeric) = 1.07079165047231 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.147298026223698600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.86000000000009400E-2 " "
y[1] (analytic) = 1.070898265241669 " "
y[1] (numeric) = 1.0708982652416694 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.14688513618840600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.87000000000009400E-2 " "
y[1] (analytic) = 1.0710048893020456 " "
y[1] (numeric) = 1.071004889302046 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.14647229238577440000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.88000000000009500E-2 " "
y[1] (analytic) = 1.071111522652373 " "
y[1] (numeric) = 1.0711115226523737 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.21908924222530500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.89000000000009500E-2 " "
y[1] (analytic) = 1.071218165291586 " "
y[1] (numeric) = 1.0712181652915862 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.072823371741373500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.90000000000009500E-2 " "
y[1] (analytic) = 1.0713248172186165 " "
y[1] (numeric) = 1.0713248172186172 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.217851057576700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.91000000000009500E-2 " "
y[1] (analytic) = 1.0714314784323997 " "
y[1] (numeric) = 1.0714314784324 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.072410689761537100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.92000000000009500E-2 " "
y[1] (analytic) = 1.0715381489318672 " "
y[1] (numeric) = 1.0715381489318678 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.21661315034943700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.93000000000009600E-2 " "
y[1] (analytic) = 1.071644828715954 " "
y[1] (numeric) = 1.0716448287159543 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.143996200515154000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.94000000000009600E-2 " "
y[1] (analytic) = 1.0717515177835921 " "
y[1] (numeric) = 1.0717515177835926 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.143583680370705500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.95000000000009600E-2 " "
y[1] (analytic) = 1.0718582161337151 " "
y[1] (numeric) = 1.0718582161337156 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.14317120646731260000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.96000000000009700E-2 " "
y[1] (analytic) = 1.0719649237652558 " "
y[1] (numeric) = 1.0719649237652564 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.21413816820901200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.97000000000009700E-2 " "
y[1] (analytic) = 1.0720716406771473 " "
y[1] (numeric) = 1.072071640677148 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.21351959608172400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.98000000000009700E-2 " "
y[1] (analytic) = 1.0721783668683225 " "
y[1] (numeric) = 1.0721783668683231 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.21290109332064100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.99000000000009700E-2 " "
y[1] (analytic) = 1.0722851023377138 " "
y[1] (numeric) = 1.0722851023377145 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.2122826599272910000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.00000000000009700E-2 " "
y[1] (analytic) = 1.0723918470842542 " "
y[1] (numeric) = 1.0723918470842548 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.21166429590319400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.01000000000009800E-2 " "
y[1] (analytic) = 1.0724986011068762 " "
y[1] (numeric) = 1.0724986011068767 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.140697334166577600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.02000000000009800E-2 " "
y[1] (analytic) = 1.0726053644045122 " "
y[1] (numeric) = 1.0726053644045126 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.14028518397921260000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.03000000000009800E-2 " "
y[1] (analytic) = 1.0727121369760946 " "
y[1] (numeric) = 1.0727121369760948 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.06993654002051800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.04000000000010000E-2 " "
y[1] (analytic) = 1.0728189188205555 " "
y[1] (numeric) = 1.0728189188205557 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.06973051117652320000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.05000000000010000E-2 " "
y[1] (analytic) = 1.072925709936827 " "
y[1] (numeric) = 1.0729257099368275 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.13904901091623760000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.060000000000100E-2 " "
y[1] (analytic) = 1.0730325103238416 " "
y[1] (numeric) = 1.073032510323842 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.138637045731600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.070000000000100E-2 " "
y[1] (analytic) = 1.0731393199805308 " "
y[1] (numeric) = 1.0731393199805315 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.20733769020017900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.080000000000100E-2 " "
y[1] (analytic) = 1.073246138905827 " "
y[1] (numeric) = 1.0732461389058277 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.20671988118416500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.090000000000101E-2 " "
y[1] (analytic) = 1.0733529670986621 " "
y[1] (numeric) = 1.0733529670986626 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.1374014277005500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000101E-2 " "
y[1] (analytic) = 1.0734598045579675 " "
y[1] (numeric) = 1.0734598045579677 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.068494823767206800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.11000000000010100E-2 " "
y[1] (analytic) = 1.0735666512826743 " "
y[1] (numeric) = 1.073566651282675 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.20486687043800800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.12000000000010200E-2 " "
y[1] (analytic) = 1.0736735072717152 " "
y[1] (numeric) = 1.0736735072717156 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.13616622597428700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.13000000000010200E-2 " "
y[1] (analytic) = 1.0737803725240203 " "
y[1] (numeric) = 1.0737803725240211 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.2715091691644490000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.14000000000010200E-2 " "
y[1] (analytic) = 1.0738872470385221 " "
y[1] (numeric) = 1.073887247038523 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.27068597890021200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.15000000000010200E-2 " "
y[1] (analytic) = 1.0739941308141516 " "
y[1] (numeric) = 1.0739941308141523 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.20239716086832500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.16000000000010200E-2 " "
y[1] (analytic) = 1.0741010238498399 " "
y[1] (numeric) = 1.0741010238498403 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.134519937969509700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.17000000000010300E-2 " "
y[1] (analytic) = 1.0742079261445177 " "
y[1] (numeric) = 1.074207926144518 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.13410848162292800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.18000000000010300E-2 " "
y[1] (analytic) = 1.0743148376971159 " "
y[1] (numeric) = 1.0743148376971166 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.20054560731012300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.19000000000010300E-2 " "
y[1] (analytic) = 1.074421758506566 " "
y[1] (numeric) = 1.0744217585065667 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19992856158285800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.20000000000010400E-2 " "
y[1] (analytic) = 1.0745286885717986 " "
y[1] (numeric) = 1.0745286885717993 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19931158525400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.21000000000010400E-2 " "
y[1] (analytic) = 1.0746356278917442 " "
y[1] (numeric) = 1.0746356278917448 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19869467832494400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.22000000000010400E-2 " "
y[1] (analytic) = 1.0747425764653333 " "
y[1] (numeric) = 1.0747425764653342 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.26410378772943400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.23000000000010400E-2 " "
y[1] (analytic) = 1.074849534291497 " "
y[1] (numeric) = 1.0748495342914979 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.26328143022903500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.24000000000010400E-2 " "
y[1] (analytic) = 1.074956501369165 " "
y[1] (numeric) = 1.074956501369166 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.26245916526723000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.25000000000010500E-2 " "
y[1] (analytic) = 1.0750634776972683 " "
y[1] (numeric) = 1.0750634776972692 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.26163699284584200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.26000000000010500E-2 " "
y[1] (analytic) = 1.0751704632747368 " "
y[1] (numeric) = 1.0751704632747376 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.26081491296669200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.27000000000010500E-2 " "
y[1] (analytic) = 1.0752774581005005 " "
y[1] (numeric) = 1.0752774581005013 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.2599929256315910000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.28000000000010600E-2 " "
y[1] (analytic) = 1.0753844621734896 " "
y[1] (numeric) = 1.0753844621734905 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.25917103084233700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.29000000000010600E-2 " "
y[1] (analytic) = 1.0754914754926341 " "
y[1] (numeric) = 1.075491475492635 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.25834922860072700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.30000000000010600E-2 " "
y[1] (analytic) = 1.075598498056864 " "
y[1] (numeric) = 1.0755984980568647 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19314563918140800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.31000000000010600E-2 " "
y[1] (analytic) = 1.0757055298651088 " "
y[1] (numeric) = 1.0757055298651095 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19252942632567500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.32000000000010600E-2 " "
y[1] (analytic) = 1.0758125709162982 " "
y[1] (numeric) = 1.075812570916299 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19191328288467600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.33000000000010800E-2 " "
y[1] (analytic) = 1.075919621209362 " "
y[1] (numeric) = 1.0759196212093627 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.19129720885972700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.34000000000010800E-2 " "
y[1] (analytic) = 1.0760266807432295 " "
y[1] (numeric) = 1.0760266807432302 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.1906812042521500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.35000000000010800E-2 " "
y[1] (analytic) = 1.0761337495168304 " "
y[1] (numeric) = 1.0761337495168308 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12671017937549800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.36000000000010900E-2 " "
y[1] (analytic) = 1.0762408275290936 " "
y[1] (numeric) = 1.076240827529094 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12629960219621670000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.37000000000010900E-2 " "
y[1] (analytic) = 1.0763479147789483 " "
y[1] (numeric) = 1.076347914778949 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.18883360694668200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.38000000000010900E-2 " "
y[1] (analytic) = 1.0764550112653244 " "
y[1] (numeric) = 1.0764550112653248 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.125478586681070600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.39000000000010900E-2 " "
y[1] (analytic) = 1.0765621169871502 " "
y[1] (numeric) = 1.0765621169871504 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.06253407417346100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.40000000000010900E-2 " "
y[1] (analytic) = 1.0766692319433544 " "
y[1] (numeric) = 1.0766692319433548 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.124657756296198000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4100000000001100E-2 " "
y[1] (analytic) = 1.0767763561328665 " "
y[1] (numeric) = 1.076776356132867 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.124247410529742000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4200000000001100E-2 " "
y[1] (analytic) = 1.0768834895546155 " "
y[1] (numeric) = 1.0768834895546155 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4300000000001100E-2 " "
y[1] (analytic) = 1.0769906322075289 " "
y[1] (numeric) = 1.0769906322075293 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12342685785301750000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4400000000001110E-2 " "
y[1] (analytic) = 1.0770977840905362 " "
y[1] (numeric) = 1.0770977840905367 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12301665094442700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.45000000000011100E-2 " "
y[1] (analytic) = 1.0772049452025656 " "
y[1] (numeric) = 1.0772049452025663 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.18390973548519400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.46000000000011100E-2 " "
y[1] (analytic) = 1.0773121155425458 " "
y[1] (numeric) = 1.0773121155425462 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.1221963759909500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.47000000000011100E-2 " "
y[1] (analytic) = 1.0774192951094048 " "
y[1] (numeric) = 1.077419295109405 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.060893153973858700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.48000000000011100E-2 " "
y[1] (analytic) = 1.0775264839020706 " "
y[1] (numeric) = 1.077526483902071 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12137628619458600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.49000000000011200E-2 " "
y[1] (analytic) = 1.0776336819194716 " "
y[1] (numeric) = 1.077633681919472 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12096631073237130000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.50000000000011200E-2 " "
y[1] (analytic) = 1.0777408891605362 " "
y[1] (numeric) = 1.0777408891605362 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.51000000000011200E-2 " "
y[1] (analytic) = 1.0778481056241915 " "
y[1] (numeric) = 1.0778481056241915 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.52000000000011300E-2 " "
y[1] (analytic) = 1.077955331309366 " "
y[1] (numeric) = 1.077955331309366 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.53000000000011300E-2 " "
y[1] (analytic) = 1.0780625662149868 " "
y[1] (numeric) = 1.078062566214987 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.05966343590443600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.54000000000011300E-2 " "
y[1] (analytic) = 1.0781698103399822 " "
y[1] (numeric) = 1.0781698103399824 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.05945856390667600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.55000000000011300E-2 " "
y[1] (analytic) = 1.078277063683279 " "
y[1] (numeric) = 1.0782770636832795 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.11850743011356900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.56000000000011300E-2 " "
y[1] (analytic) = 1.0783843262438055 " "
y[1] (numeric) = 1.078384326243806 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.118097778710307000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.57000000000011400E-2 " "
y[1] (analytic) = 1.0784915980204892 " "
y[1] (numeric) = 1.0784915980204892 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.58000000000011400E-2 " "
y[1] (analytic) = 1.0785988790122563 " "
y[1] (numeric) = 1.0785988790122565 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.058639307398243700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.59000000000011400E-2 " "
y[1] (analytic) = 1.078706169218035 " "
y[1] (numeric) = 1.078706169218035 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.60000000000011600E-2 " "
y[1] (analytic) = 1.0788134686367519 " "
y[1] (numeric) = 1.0788134686367519 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.61000000000011600E-2 " "
y[1] (analytic) = 1.078920777267334 " "
y[1] (numeric) = 1.078920777267334 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.62000000000011600E-2 " "
y[1] (analytic) = 1.0790280951087081 " "
y[1] (numeric) = 1.0790280951087083 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.057820421280700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.63000000000011600E-2 " "
y[1] (analytic) = 1.0791354221598013 " "
y[1] (numeric) = 1.0791354221598017 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.11523151525555900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.64000000000011600E-2 " "
y[1] (analytic) = 1.0792427584195408 " "
y[1] (numeric) = 1.0792427584195408 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.65000000000011700E-2 " "
y[1] (analytic) = 1.0793501038868523 " "
y[1] (numeric) = 1.0793501038868523 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.66000000000011700E-2 " "
y[1] (analytic) = 1.0794574585606624 " "
y[1] (numeric) = 1.0794574585606627 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.057001905578598000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.67000000000011700E-2 " "
y[1] (analytic) = 1.0795648224398986 " "
y[1] (numeric) = 1.0795648224398986 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.68000000000011800E-2 " "
y[1] (analytic) = 1.0796721955234863 " "
y[1] (numeric) = 1.0796721955234863 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.69000000000011800E-2 " "
y[1] (analytic) = 1.0797795778103518 " "
y[1] (numeric) = 1.079779577810352 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.056388261901637400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.70000000000011800E-2 " "
y[1] (analytic) = 1.0798869692994217 " "
y[1] (numeric) = 1.079886969299422 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.056183760315980800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.71000000000011800E-2 " "
y[1] (analytic) = 1.0799943699896217 " "
y[1] (numeric) = 1.0799943699896222 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.11195856376853300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.72000000000011800E-2 " "
y[1] (analytic) = 1.0801017798798784 " "
y[1] (numeric) = 1.0801017798798787 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.055774826606855400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.73000000000011900E-2 " "
y[1] (analytic) = 1.0802091989691172 " "
y[1] (numeric) = 1.0802091989691174 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.055570394484110300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.74000000000011900E-2 " "
y[1] (analytic) = 1.0803166272562639 " "
y[1] (numeric) = 1.080316627256264 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.055365985516389700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.75000000000011900E-2 " "
y[1] (analytic) = 1.080424064740244 " "
y[1] (numeric) = 1.0804240647402445 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.110323199408101300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7600000000001200E-2 " "
y[1] (analytic) = 1.080531511419984 " "
y[1] (numeric) = 1.0805315114199843 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.054957237047447500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7700000000001200E-2 " "
y[1] (analytic) = 1.080638967294409 " "
y[1] (numeric) = 1.080638967294409 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7800000000001200E-2 " "
y[1] (analytic) = 1.080746432362444 " "
y[1] (numeric) = 1.080746432362444 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7900000000001200E-2 " "
y[1] (analytic) = 1.0808539066230143 " "
y[1] (numeric) = 1.0808539066230147 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.10868857603115700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.80000000000012000E-2 " "
y[1] (analytic) = 1.0809613900750459 " "
y[1] (numeric) = 1.0809613900750463 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.10828003597086540000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.81000000000012100E-2 " "
y[1] (analytic) = 1.0810688827174637 " "
y[1] (numeric) = 1.081068882717464 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.053935771112768700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.82000000000012100E-2 " "
y[1] (analytic) = 1.0811763845491924 " "
y[1] (numeric) = 1.0811763845491928 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.107463094795861000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.83000000000012100E-2 " "
y[1] (analytic) = 1.0812838955691575 " "
y[1] (numeric) = 1.0812838955691577 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.053527346841259000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.84000000000012200E-2 " "
y[1] (analytic) = 1.0813914157762834 " "
y[1] (numeric) = 1.0813914157762836 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.053323169443094200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.85000000000012200E-2 " "
y[1] (analytic) = 1.0814989451694954 " "
y[1] (numeric) = 1.0814989451694954 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.86000000000012200E-2 " "
y[1] (analytic) = 1.0816064837477177 " "
y[1] (numeric) = 1.0816064837477177 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.87000000000012200E-2 " "
y[1] (analytic) = 1.0817140315098754 " "
y[1] (numeric) = 1.0817140315098752 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.052710776203000300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.88000000000012200E-2 " "
y[1] (analytic) = 1.0818215884548925 " "
y[1] (numeric) = 1.0818215884548925 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.89000000000012400E-2 " "
y[1] (analytic) = 1.0819291545816938 " "
y[1] (numeric) = 1.0819291545816938 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.90000000000012400E-2 " "
y[1] (analytic) = 1.0820367298892037 " "
y[1] (numeric) = 1.0820367298892035 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.052098591401493300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.91000000000012400E-2 " "
y[1] (analytic) = 1.0821443143763458 " "
y[1] (numeric) = 1.082144314376346 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.051894576122211300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.92000000000012500E-2 " "
y[1] (analytic) = 1.0822519080420454 " "
y[1] (numeric) = 1.0822519080420454 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.93000000000012500E-2 " "
y[1] (analytic) = 1.0823595108852255 " "
y[1] (numeric) = 1.0823595108852255 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.94000000000012500E-2 " "
y[1] (analytic) = 1.0824671229048106 " "
y[1] (numeric) = 1.0824671229048106 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.95000000000012500E-2 " "
y[1] (analytic) = 1.0825747440997244 " "
y[1] (numeric) = 1.0825747440997244 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.96000000000012500E-2 " "
y[1] (analytic) = 1.0826823744688907 " "
y[1] (numeric) = 1.082682374468891 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.050874847149471400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.97000000000012600E-2 " "
y[1] (analytic) = 1.0827900140112336 " "
y[1] (numeric) = 1.0827900140112336 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.98000000000012600E-2 " "
y[1] (analytic) = 1.0828976627256761 " "
y[1] (numeric) = 1.0828976627256761 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.99000000000012600E-2 " "
y[1] (analytic) = 1.083005320611142 " "
y[1] (numeric) = 1.083005320611142 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.00000000000012700E-2 " "
y[1] (analytic) = 1.0831129876665548 " "
y[1] (numeric) = 1.0831129876665548 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.01000000000012700E-2 " "
y[1] (analytic) = 1.0832206638908373 " "
y[1] (numeric) = 1.0832206638908377 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.09971139449031200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.02000000000012700E-2 " "
y[1] (analytic) = 1.0833283492829138 " "
y[1] (numeric) = 1.0833283492829138 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.03000000000012700E-2 " "
y[1] (analytic) = 1.0834360438417063 " "
y[1] (numeric) = 1.0834360438417063 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.04000000000012700E-2 " "
y[1] (analytic) = 1.0835437475661385 " "
y[1] (numeric) = 1.0835437475661385 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.05000000000012800E-2 " "
y[1] (analytic) = 1.0836514604551333 " "
y[1] (numeric) = 1.0836514604551333 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.06000000000012800E-2 " "
y[1] (analytic) = 1.0837591825076132 " "
y[1] (numeric) = 1.0837591825076134 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04883712644779800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.07000000000012800E-2 " "
y[1] (analytic) = 1.0838669137225017 " "
y[1] (numeric) = 1.0838669137225017 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.08000000000012900E-2 " "
y[1] (analytic) = 1.083974654098721 " "
y[1] (numeric) = 1.0839746540987207 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.048429860287204000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.09000000000012900E-2 " "
y[1] (analytic) = 1.0840824036351933 " "
y[1] (numeric) = 1.0840824036351933 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1000000000001290E-2 " "
y[1] (analytic) = 1.0841901623308416 " "
y[1] (numeric) = 1.0841901623308419 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.048022686792044200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1100000000001290E-2 " "
y[1] (analytic) = 1.0842979301845883 " "
y[1] (numeric) = 1.0842979301845888 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.095638269589446700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1200000000001290E-2 " "
y[1] (analytic) = 1.0844057071953563 " "
y[1] (numeric) = 1.0844057071953563 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1300000000001300E-2 " "
y[1] (analytic) = 1.0845134933620666 " "
y[1] (numeric) = 1.0845134933620668 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.047412100302023200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1400000000001300E-2 " "
y[1] (analytic) = 1.0846212886836426 " "
y[1] (numeric) = 1.0846212886836424 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.047208617807208500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.15000000000013000E-2 " "
y[1] (analytic) = 1.084729093159005 " "
y[1] (numeric) = 1.084729093159005 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.16000000000013200E-2 " "
y[1] (analytic) = 1.0848369067870767 " "
y[1] (numeric) = 1.0848369067870767 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.17000000000013200E-2 " "
y[1] (analytic) = 1.0849447295667791 " "
y[1] (numeric) = 1.0849447295667793 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04659830933225700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.18000000000013200E-2 " "
y[1] (analytic) = 1.0850525614970348 " "
y[1] (numeric) = 1.0850525614970348 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.19000000000013200E-2 " "
y[1] (analytic) = 1.0851604025767645 " "
y[1] (numeric) = 1.0851604025767645 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.20000000000013200E-2 " "
y[1] (analytic) = 1.0852682528048903 " "
y[1] (numeric) = 1.0852682528048903 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.21000000000013300E-2 " "
y[1] (analytic) = 1.0853761121803331 " "
y[1] (numeric) = 1.0853761121803334 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.045784889064695400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.22000000000013300E-2 " "
y[1] (analytic) = 1.0854839807020156 " "
y[1] (numeric) = 1.0854839807020153 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.045581591922050200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.23000000000013300E-2 " "
y[1] (analytic) = 1.0855918583688575 " "
y[1] (numeric) = 1.0855918583688575 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.24000000000013400E-2 " "
y[1] (analytic) = 1.0856997451797814 " "
y[1] (numeric) = 1.0856997451797812 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04517506714771200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.25000000000013400E-2 " "
y[1] (analytic) = 1.0858076411337074 " "
y[1] (numeric) = 1.0858076411337074 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.26000000000013400E-2 " "
y[1] (analytic) = 1.0859155462295573 " "
y[1] (numeric) = 1.085915546229557 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04476863505637800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.27000000000013400E-2 " "
y[1] (analytic) = 1.0860234604662515 " "
y[1] (numeric) = 1.0860234604662513 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.044565453767482300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.28000000000013400E-2 " "
y[1] (analytic) = 1.086131383842711 " "
y[1] (numeric) = 1.086131383842711 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.29000000000013500E-2 " "
y[1] (analytic) = 1.0862393163578568 " "
y[1] (numeric) = 1.0862393163578568 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.30000000000013500E-2 " "
y[1] (analytic) = 1.0863472580106097 " "
y[1] (numeric) = 1.0863472580106095 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.043956048930927700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.31000000000013500E-2 " "
y[1] (analytic) = 1.0864552087998893 " "
y[1] (numeric) = 1.0864552087998895 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.043752960329623700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.32000000000013600E-2 " "
y[1] (analytic) = 1.0865631687246178 " "
y[1] (numeric) = 1.0865631687246176 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04354989490083700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.33000000000013600E-2 " "
y[1] (analytic) = 1.0866711377837137 " "
y[1] (numeric) = 1.0866711377837137 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.34000000000013600E-2 " "
y[1] (analytic) = 1.0867791159760989 " "
y[1] (numeric) = 1.0867791159760987 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04314383356180200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.35000000000013600E-2 " "
y[1] (analytic) = 1.0868871033006922 " "
y[1] (numeric) = 1.0868871033006924 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04294083765203780000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.36000000000013600E-2 " "
y[1] (analytic) = 1.086995099756415 " "
y[1] (numeric) = 1.086995099756415 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.37000000000013700E-2 " "
y[1] (analytic) = 1.0871031053421865 " "
y[1] (numeric) = 1.0871031053421867 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.042534915353208800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.38000000000013700E-2 " "
y[1] (analytic) = 1.0872111200569272 " "
y[1] (numeric) = 1.0872111200569272 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.39000000000013700E-2 " "
y[1] (analytic) = 1.0873191438995566 " "
y[1] (numeric) = 1.0873191438995566 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.40000000000013800E-2 " "
y[1] (analytic) = 1.0874271768689945 " "
y[1] (numeric) = 1.0874271768689947 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.041926205710248300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.41000000000013800E-2 " "
y[1] (analytic) = 1.0875352189641607 " "
y[1] (numeric) = 1.087535218964161 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.041723348844932400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.42000000000013800E-2 " "
y[1] (analytic) = 1.087643270183975 " "
y[1] (numeric) = 1.0876432701839749 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.041520515154499300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.43000000000013800E-2 " "
y[1] (analytic) = 1.0877513305273563 " "
y[1] (numeric) = 1.087751330527356 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.041317704639176400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.44000000000013900E-2 " "
y[1] (analytic) = 1.0878593999932242 " "
y[1] (numeric) = 1.087859399993224 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04111491729918700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4500000000001400E-2 " "
y[1] (analytic) = 1.0879674785804982 " "
y[1] (numeric) = 1.087967478580498 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.040912153134753200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4600000000001400E-2 " "
y[1] (analytic) = 1.0880755662880974 " "
y[1] (numeric) = 1.0880755662880972 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.040709412146095300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4700000000001400E-2 " "
y[1] (analytic) = 1.0881836631149406 " "
y[1] (numeric) = 1.0881836631149406 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4800000000001410E-2 " "
y[1] (analytic) = 1.0882917690599476 " "
y[1] (numeric) = 1.0882917690599474 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.040303999696980000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4900000000001410E-2 " "
y[1] (analytic) = 1.0883998841220368 " "
y[1] (numeric) = 1.0883998841220366 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.04010132823695320000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.50000000000014100E-2 " "
y[1] (analytic) = 1.0885080083001273 " "
y[1] (numeric) = 1.0885080083001268 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07979735990712900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.51000000000014100E-2 " "
y[1] (analytic) = 1.0886161415931372 " "
y[1] (numeric) = 1.088616141593137 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.039696054847025500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.52000000000014100E-2 " "
y[1] (analytic) = 1.0887242839999862 " "
y[1] (numeric) = 1.0887242839999858 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.078986905835088600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.53000000000014200E-2 " "
y[1] (analytic) = 1.0888324355195922 " "
y[1] (numeric) = 1.0888324355195917 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.078581748330657500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.54000000000014200E-2 " "
y[1] (analytic) = 1.0889405961508738 " "
y[1] (numeric) = 1.0889405961508734 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07817663718116730000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.55000000000014200E-2 " "
y[1] (analytic) = 1.0890487658927492 " "
y[1] (numeric) = 1.089048765892749 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.03888578619351280000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.56000000000014300E-2 " "
y[1] (analytic) = 1.0891569447441374 " "
y[1] (numeric) = 1.089156944744137 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07736655394863370000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.57000000000014300E-2 " "
y[1] (analytic) = 1.089265132703956 " "
y[1] (numeric) = 1.0892651327039555 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.076961581866392300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.58000000000014300E-2 " "
y[1] (analytic) = 1.0893733297711226 " "
y[1] (numeric) = 1.0893733297711228 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.038278328070349500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.59000000000014300E-2 " "
y[1] (analytic) = 1.0894815359445569 " "
y[1] (numeric) = 1.0894815359445567 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.038075888385969500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.60000000000014300E-2 " "
y[1] (analytic) = 1.0895897512231751 " "
y[1] (numeric) = 1.0895897512231751 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.61000000000014400E-2 " "
y[1] (analytic) = 1.0896979756058958 " "
y[1] (numeric) = 1.0896979756058962 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07534215710678300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.62000000000014400E-2 " "
y[1] (analytic) = 1.0898062090916372 " "
y[1] (numeric) = 1.0898062090916374 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.037468708405574300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.63000000000014400E-2 " "
y[1] (analytic) = 1.0899144516793164 " "
y[1] (numeric) = 1.0899144516793164 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.64000000000014500E-2 " "
y[1] (analytic) = 1.090022703367851 " "
y[1] (numeric) = 1.0900227033678511 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.03706403764782600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.65000000000014500E-2 " "
y[1] (analytic) = 1.0901309641561587 " "
y[1] (numeric) = 1.0901309641561587 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.66000000000014500E-2 " "
y[1] (analytic) = 1.0902392340431566 " "
y[1] (numeric) = 1.0902392340431566 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.67000000000014500E-2 " "
y[1] (analytic) = 1.0903475130277618 " "
y[1] (numeric) = 1.0903475130277622 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.072914410717379000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.68000000000014500E-2 " "
y[1] (analytic) = 1.0904558011088925 " "
y[1] (numeric) = 1.0904558011088927 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.036254974289031200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.69000000000014600E-2 " "
y[1] (analytic) = 1.0905640982854647 " "
y[1] (numeric) = 1.0905640982854652 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07210553279939700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.70000000000014700E-2 " "
y[1] (analytic) = 1.0906724045563962 " "
y[1] (numeric) = 1.0906724045563965 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.035850581690864500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.71000000000014700E-2 " "
y[1] (analytic) = 1.0907807199206037 " "
y[1] (numeric) = 1.0907807199206039 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.035648420162703400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.72000000000014800E-2 " "
y[1] (analytic) = 1.0908890443770036 " "
y[1] (numeric) = 1.090889044377004 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07089256363077470000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.73000000000014800E-2 " "
y[1] (analytic) = 1.0909973779245132 " "
y[1] (numeric) = 1.0909973779245137 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.07048833329817060000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.74000000000014800E-2 " "
y[1] (analytic) = 1.0911057205620494 " "
y[1] (numeric) = 1.0911057205620496 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.035042074663964700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.75000000000014800E-2 " "
y[1] (analytic) = 1.0912140722885277 " "
y[1] (numeric) = 1.0912140722885282 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.06968001172038630000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.76000000000014800E-2 " "
y[1] (analytic) = 1.091322433102866 " "
y[1] (numeric) = 1.0913224331028661 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.03463796023793300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.77000000000014900E-2 " "
y[1] (analytic) = 1.0914308030039792 " "
y[1] (numeric) = 1.0914308030039797 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.068871875594696000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.78000000000014900E-2 " "
y[1] (analytic) = 1.0915391819907851 " "
y[1] (numeric) = 1.0915391819907851 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.79000000000014900E-2 " "
y[1] (analytic) = 1.0916475700621988 " "
y[1] (numeric) = 1.0916475700621988 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8000000000001500E-2 " "
y[1] (analytic) = 1.0917559672171366 " "
y[1] (numeric) = 1.0917559672171369 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.033830009567233200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8100000000001500E-2 " "
y[1] (analytic) = 1.0918643734545153 " "
y[1] (numeric) = 1.0918643734545153 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8200000000001500E-2 " "
y[1] (analytic) = 1.0919727887732495 " "
y[1] (numeric) = 1.0919727887732498 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.033426173325087700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8300000000001500E-2 " "
y[1] (analytic) = 1.0920812131722566 " "
y[1] (numeric) = 1.0920812131722566 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8400000000001500E-2 " "
y[1] (analytic) = 1.0921896466504513 " "
y[1] (numeric) = 1.0921896466504513 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.85000000000015100E-2 " "
y[1] (analytic) = 1.092298089206749 " "
y[1] (numeric) = 1.0922980892067493 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.032820592831806300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.86000000000015100E-2 " "
y[1] (analytic) = 1.0924065408400663 " "
y[1] (numeric) = 1.0924065408400665 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.03261877903328800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.87000000000015100E-2 " "
y[1] (analytic) = 1.0925150015493181 " "
y[1] (numeric) = 1.0925150015493184 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.032416988417964600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.88000000000015200E-2 " "
y[1] (analytic) = 1.09262347133342 " "
y[1] (numeric) = 1.0926234713334202 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.032215220985978700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.89000000000015200E-2 " "
y[1] (analytic) = 1.092731950191287 " "
y[1] (numeric) = 1.0927319501912873 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.032013476737469800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.90000000000015200E-2 " "
y[1] (analytic) = 1.0928404381218346 " "
y[1] (numeric) = 1.0928404381218348 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.03181175567257700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.91000000000015200E-2 " "
y[1] (analytic) = 1.0929489351239776 " "
y[1] (numeric) = 1.092948935123978 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.06322011558287300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.92000000000015200E-2 " "
y[1] (analytic) = 1.0930574411966316 " "
y[1] (numeric) = 1.0930574411966318 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.031408383094181800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.93000000000015300E-2 " "
y[1] (analytic) = 1.0931659563387106 " "
y[1] (numeric) = 1.0931659563387113 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.09362019474284300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.94000000000015300E-2 " "
y[1] (analytic) = 1.0932744805491303 " "
y[1] (numeric) = 1.093274480549131 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.09301530975558800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.95000000000015300E-2 " "
y[1] (analytic) = 1.0933830138268057 " "
y[1] (numeric) = 1.093383013826806 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.030803498107056300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.96000000000015500E-2 " "
y[1] (analytic) = 1.0934915561706504 " "
y[1] (numeric) = 1.0934915561706509 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.06120383229331500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.97000000000015500E-2 " "
y[1] (analytic) = 1.0936001075795796 " "
y[1] (numeric) = 1.09360010757958 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.0608007147415803000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.98000000000015500E-2 " "
y[1] (analytic) = 1.0937086680525079 " "
y[1] (numeric) = 1.0937086680525083 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.06039764355915540000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.99000000000015500E-2 " "
y[1] (analytic) = 1.0938172375883495 " "
y[1] (numeric) = 1.09381723758835 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.059994618746285400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.00000000000015500E-2 " "
y[1] (analytic) = 1.0939258161860184 " "
y[1] (numeric) = 1.093925816186019 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.08938746045481500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.01000000000015600E-2 " "
y[1] (analytic) = 1.0940344038444292 " "
y[1] (numeric) = 1.09403440384443 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.11837741646032700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.02000000000015600E-2 " "
y[1] (analytic) = 1.0941430005624961 " "
y[1] (numeric) = 1.094143000562497 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.1175716450547600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.03000000000015600E-2 " "
y[1] (analytic) = 1.094251606339133 " "
y[1] (numeric) = 1.0942516063391339 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.11676596639017400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.04000000000015700E-2 " "
y[1] (analytic) = 1.0943602211732542 " "
y[1] (numeric) = 1.0943602211732546 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.05798019023350830000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.05000000000015700E-2 " "
y[1] (analytic) = 1.0944688450637723 " "
y[1] (numeric) = 1.0944688450637732 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.11515488728574200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.06000000000015700E-2 " "
y[1] (analytic) = 1.0945774780096027 " "
y[1] (numeric) = 1.0945774780096034 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.08576211513507700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.07000000000015700E-2 " "
y[1] (analytic) = 1.0946861200096583 " "
y[1] (numeric) = 1.0946861200096587 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.0567720895752696000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.08000000000015700E-2 " "
y[1] (analytic) = 1.094794771062852 " "
y[1] (numeric) = 1.094794771062853 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.11273896419747200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.09000000000015800E-2 " "
y[1] (analytic) = 1.0949034311680987 " "
y[1] (numeric) = 1.0949034311680994 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.08395038149098100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.10000000000015800E-2 " "
y[1] (analytic) = 1.0950121003243107 " "
y[1] (numeric) = 1.0950121003243114 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.08334660939184500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.11000000000015800E-2 " "
y[1] (analytic) = 1.095120778530402 " "
y[1] (numeric) = 1.0951207785304025 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.05516193790066150000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.12000000000015900E-2 " "
y[1] (analytic) = 1.0952294657852852 " "
y[1] (numeric) = 1.0952294657852857 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.05475951591247940000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.13000000000015900E-2 " "
y[1] (analytic) = 1.0953381620878737 " "
y[1] (numeric) = 1.0953381620878744 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.08153571044531200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.14000000000015900E-2 " "
y[1] (analytic) = 1.0954468674370808 " "
y[1] (numeric) = 1.0954468674370814 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.08093221658105400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1500000000001590E-2 " "
y[1] (analytic) = 1.0955555818318192 " "
y[1] (numeric) = 1.0955555818318197 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.05355252818414800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1600000000001590E-2 " "
y[1] (analytic) = 1.0956643052710016 " "
y[1] (numeric) = 1.0956643052710022 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.07972543753109200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1700000000001600E-2 " "
y[1] (analytic) = 1.0957730377535413 " "
y[1] (numeric) = 1.0957730377535417 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.052748101563949400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1800000000001600E-2 " "
y[1] (analytic) = 1.0958817792783502 " "
y[1] (numeric) = 1.0958817792783508 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.07851893672098600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1900000000001600E-2 " "
y[1] (analytic) = 1.0959905298443413 " "
y[1] (numeric) = 1.0959905298443422 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.10388772087537300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.20000000000016100E-2 " "
y[1] (analytic) = 1.0960992894504273 " "
y[1] (numeric) = 1.0960992894504282 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.10308361887040800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.21000000000016100E-2 " "
y[1] (analytic) = 1.0962080580955207 " "
y[1] (numeric) = 1.0962080580955214 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.07670970721005800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.22000000000016100E-2 " "
y[1] (analytic) = 1.096316835778533 " "
y[1] (numeric) = 1.0963168357785338 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.1014756931047100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.23000000000016100E-2 " "
y[1] (analytic) = 1.0964256224983768 " "
y[1] (numeric) = 1.096425622498378 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01258398366807610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.24000000000016100E-2 " "
y[1] (analytic) = 1.0965344182539647 " "
y[1] (numeric) = 1.0965344182539658 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01248351729167660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.25000000000016300E-2 " "
y[1] (analytic) = 1.0966432230442087 " "
y[1] (numeric) = 1.0966432230442096 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.09906450007141700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.26000000000016300E-2 " "
y[1] (analytic) = 1.0967520368680197 " "
y[1] (numeric) = 1.096752036868021 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21473914318383840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.27000000000016300E-2 " "
y[1] (analytic) = 1.096860859724311 " "
y[1] (numeric) = 1.0968608597243121 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01218218772452520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.28000000000016400E-2 " "
y[1] (analytic) = 1.0969696916119933 " "
y[1] (numeric) = 1.0969696916119946 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21449812126753020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.29000000000016400E-2 " "
y[1] (analytic) = 1.097078532529979 " "
y[1] (numeric) = 1.09707853252998 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01198135931514850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.30000000000016400E-2 " "
y[1] (analytic) = 1.0971873824771792 " "
y[1] (numeric) = 1.0971873824771803 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01188096250117820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.31000000000016400E-2 " "
y[1] (analytic) = 1.0972962414525054 " "
y[1] (numeric) = 1.0972962414525067 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21413669273727570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.32000000000016400E-2 " "
y[1] (analytic) = 1.0974051094548698 " "
y[1] (numeric) = 1.0974051094548707 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.09344162923866100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.33000000000016500E-2 " "
y[1] (analytic) = 1.097513986483182 " "
y[1] (numeric) = 1.0975139864831835 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41621177827152640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.34000000000016500E-2 " "
y[1] (analytic) = 1.0976228725363555 " "
y[1] (numeric) = 1.0976228725363566 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01147949118414860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.35000000000016500E-2 " "
y[1] (analytic) = 1.0977317676132994 " "
y[1] (numeric) = 1.097731767613301 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41593081327565320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.36000000000016600E-2 " "
y[1] (analytic) = 1.0978406717129263 " "
y[1] (numeric) = 1.0978406717129274 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01127882508935520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.37000000000016600E-2 " "
y[1] (analytic) = 1.097949584834146 " "
y[1] (numeric) = 1.0979495848341472 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0111785094329850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.38000000000016600E-2 " "
y[1] (analytic) = 1.0980585069758697 " "
y[1] (numeric) = 1.098058506975871 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21329384644480050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.39000000000016600E-2 " "
y[1] (analytic) = 1.0981674381370086 " "
y[1] (numeric) = 1.09816743813701 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21317349548291070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.40000000000016600E-2 " "
y[1] (analytic) = 1.0982763783164735 " "
y[1] (numeric) = 1.0982763783164744 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.08702105622627200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.41000000000016700E-2 " "
y[1] (analytic) = 1.098385327513174 " "
y[1] (numeric) = 1.0983853275131752 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.01077736274826610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.42000000000016700E-2 " "
y[1] (analytic) = 1.0984942857260214 " "
y[1] (numeric) = 1.0984942857260227 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21281252607487160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.43000000000016700E-2 " "
y[1] (analytic) = 1.098603252953926 " "
y[1] (numeric) = 1.0986032529539274 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21269223076482320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.44000000000016800E-2 " "
y[1] (analytic) = 1.0987122291957983 " "
y[1] (numeric) = 1.0987122291957994 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0104766244731650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.45000000000016800E-2 " "
y[1] (analytic) = 1.0988212144505476 " "
y[1] (numeric) = 1.0988212144505491 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41452696219779000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.46000000000016800E-2 " "
y[1] (analytic) = 1.0989302087170851 " "
y[1] (numeric) = 1.0989302087170867 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41438666636506140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.47000000000016800E-2 " "
y[1] (analytic) = 1.0990392119943206 " "
y[1] (numeric) = 1.0990392119943222 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41424638676427040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.48000000000016800E-2 " "
y[1] (analytic) = 1.0991482242811643 " "
y[1] (numeric) = 1.0991482242811657 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21209096291037720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.49000000000016900E-2 " "
y[1] (analytic) = 1.0992572455765255 " "
y[1] (numeric) = 1.0992572455765268 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2119707510787940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5000000000001690E-2 " "
y[1] (analytic) = 1.099366275879314 " "
y[1] (numeric) = 1.0993662758793155 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41382564535374950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5100000000001690E-2 " "
y[1] (analytic) = 1.0994753151884398 " "
y[1] (numeric) = 1.0994753151884413 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41368543068092850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5200000000001700E-2 " "
y[1] (analytic) = 1.0995843635028124 " "
y[1] (numeric) = 1.099584363502814 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41354523224014900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5300000000001710E-2 " "
y[1] (analytic) = 1.0996934208213416 " "
y[1] (numeric) = 1.0996934208213431 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41340505003142690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5400000000001710E-2 " "
y[1] (analytic) = 1.0998024871429366 " "
y[1] (numeric) = 1.099802487142938 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21136990061838130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.55000000000017100E-2 " "
y[1] (analytic) = 1.0999115624665063 " "
y[1] (numeric) = 1.099911562466508 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41312473431021880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.56000000000017100E-2 " "
y[1] (analytic) = 1.1000206467909606 " "
y[1] (numeric) = 1.1000206467909623 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.61483954376886870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.57000000000017200E-2 " "
y[1] (analytic) = 1.1001297401152086 " "
y[1] (numeric) = 1.1001297401152101 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41284448351741420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.58000000000017200E-2 " "
y[1] (analytic) = 1.1002388424381588 " "
y[1] (numeric) = 1.1002388424381606 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.61451929425050660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.59000000000017200E-2 " "
y[1] (analytic) = 1.100347953758721 " "
y[1] (numeric) = 1.1003479537587226 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.41256429765310530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.60000000000017300E-2 " "
y[1] (analytic) = 1.1004570740758037 " "
y[1] (numeric) = 1.100457074075805 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2106493392021360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.61000000000017300E-2 " "
y[1] (analytic) = 1.1005662033883157 " "
y[1] (numeric) = 1.1005662033883168 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.00877441194097210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.62000000000017300E-2 " "
y[1] (analytic) = 1.100675341695165 " "
y[1] (numeric) = 1.1006753416951665 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.4121441405977190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.63000000000017300E-2 " "
y[1] (analytic) = 1.1007844889952614 " "
y[1] (numeric) = 1.1007844889952627 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21028924632305840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.64000000000017300E-2 " "
y[1] (analytic) = 1.1008936452875129 " "
y[1] (numeric) = 1.100893645287514 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0084743693249380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.65000000000017400E-2 " "
y[1] (analytic) = 1.1010028105708276 " "
y[1] (numeric) = 1.101002810570829 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2100492539700770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.66000000000017400E-2 " "
y[1] (analytic) = 1.1011119848441142 " "
y[1] (numeric) = 1.1011119848441158 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.4115841584407648000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.67000000000017400E-2 " "
y[1] (analytic) = 1.1012211681062811 " "
y[1] (numeric) = 1.1012211681062827 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.4114442034819380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.68000000000017500E-2 " "
y[1] (analytic) = 1.1013303603562365 " "
y[1] (numeric) = 1.1013303603562379 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.20968936979023470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.69000000000017500E-2 " "
y[1] (analytic) = 1.1014395615928882 " "
y[1] (numeric) = 1.1014395615928896 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.20956943622351720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.70000000000017500E-2 " "
y[1] (analytic) = 1.1015487718151444 " "
y[1] (numeric) = 1.1015487718151455 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.00787459714173040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.71000000000017500E-2 " "
y[1] (analytic) = 1.1016579910219129 " "
y[1] (numeric) = 1.1016579910219138 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.06219740553271800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.72000000000017500E-2 " "
y[1] (analytic) = 1.1017672192121009 " "
y[1] (numeric) = 1.1017672192121022 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.2092097190030061000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.73000000000017600E-2 " "
y[1] (analytic) = 1.101876456384617 " "
y[1] (numeric) = 1.1018764563846184 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.20908984108936380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.74000000000017600E-2 " "
y[1] (analytic) = 1.1019857025383688 " "
y[1] (numeric) = 1.10198570253837 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.00747498090747780000000000000E-13 "%"
h = 1.0000E-4 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = cos ( x ) + sin ( x ) ;"
Iterations = 974
"Total Elapsed Time "= 15 Minutes 3 Seconds
"Elapsed Time(since restart) "= 15 Minutes 3 Seconds
"Expected Time Remaining "= 1 Days 1 Hours 29 Minutes 32 Seconds
"Optimized Time Remaining "= 1 Days 1 Hours 29 Minutes 13 Seconds
"Time to Timeout " Unknown
Percent Done = 0.9750000000000176 "%"
(%o51) true
(%o51) diffeq.max