##############ECHO OF PROBLEM################# ##############temp/mtest9_revpostode.ode################# diff(y2,x,1) = y1 - 2.0; diff(y1,x,1) = diff(y2,x,5); ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.5; x_end=10.0; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[3 + 1] = exact_soln_y2ppp(x_start); array_y2_init[4 + 1] = exact_soln_y2pppp(x_start); glob_h=0.00001; glob_look_poles=true; glob_max_iter=10; glob_subiter_method=3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y1 (double x) { return(2.0 + sin(x)); } double exact_soln_y2 (double x) { return(2.0 - cos(x)); } double exact_soln_y2p (double x) { return(sin(x)); } double exact_soln_y2pp (double x) { return(cos(x)); } double exact_soln_y2ppp (double x) { return(-sin(x)); } double exact_soln_y2pppp (double x) { return(-cos(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 9.5 estimated_steps = 9500 step_error = 1.052631578947368e-14 est_needed_step_err = 1.052631578947368e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_value3 = 0 value3 = 0 best_h = 0.001 START of Soultion x[1] = 0.5 y2[1] (analytic) = 1.122417438109627 y2[1] (numeric) = 1.122417438109627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 2.479425538604203 y1[1] (numeric) = 2.479425538604203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 x[1] = 0.5 y2[1] (analytic) = 1.122417438109627 y2[1] (numeric) = 1.122417438109627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 2.479425538604203 y1[1] (numeric) = 2.479425538604203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.501 y2[1] (analytic) = 1.122897302359572 y2[1] (numeric) = 1.122897302359572 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 2.48030288130708 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0008773427028772041 relative error = 0.03537240187435731 % Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.502 y2[1] (analytic) = 1.123378043712141 y2[1] (numeric) = 1.12337804371214 absolute error = 2.220446049250313e-16 relative error = 1.976579533202351e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 2.481179743707116 y1[1] (numeric) = 2.479425538604203 absolute error = 0.001754205102913353 relative error = 0.07070044430930286 % Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.503 y2[1] (analytic) = 1.123859661686593 y2[1] (numeric) = 1.123859661686592 absolute error = 8.881784197001252e-16 relative error = 7.902929965181087e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 2.482056124927449 y1[1] (numeric) = 2.479425538604203 absolute error = 0.002630586323245865 relative error = 0.1059841595371965 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.504 y2[1] (analytic) = 1.12434215580131 y2[1] (numeric) = 1.124342155801306 absolute error = 3.996802888650564e-15 relative error = 3.554792345042042e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 2.482932024091697 y1[1] (numeric) = 2.479425538604203 absolute error = 0.003506485487493549 relative error = 0.1412235797625707 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.505 y2[1] (analytic) = 1.124825525573799 y2[1] (numeric) = 1.124825525573786 absolute error = 1.243449787580175e-14 relative error = 1.105460144092893e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 2.48380744032396 y1[1] (numeric) = 2.479425538604203 absolute error = 0.004381901719757053 relative error = 0.1764187371620695 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.506 y2[1] (analytic) = 1.125309770520689 y2[1] (numeric) = 1.125309770520658 absolute error = 3.086420008457935e-14 relative error = 2.742729237150253e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 2.484682372748824 y1[1] (numeric) = 2.479425538604203 absolute error = 0.005256834144621081 relative error = 0.2115696638844587 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.507 y2[1] (analytic) = 1.125794890157735 y2[1] (numeric) = 1.125794890157668 absolute error = 6.705747068735946e-14 relative error = 5.956455414179754e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 2.485556820491355 y1[1] (numeric) = 2.479425538604203 absolute error = 0.006131281887152173 relative error = 0.2466763920504588 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.508 y2[1] (analytic) = 1.126280883999819 y2[1] (numeric) = 1.126280883999688 absolute error = 1.310063169057685e-13 relative error = 1.163176244637297e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 2.486430782677107 y1[1] (numeric) = 2.479425538604203 absolute error = 0.007005244072903594 relative error = 0.2817389537528626 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.509 y2[1] (analytic) = 1.126767751560946 y2[1] (numeric) = 1.12676775156071 absolute error = 2.362554596402333e-13 relative error = 2.096753828044345e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 2.487304258432116 y1[1] (numeric) = 2.479425538604203 absolute error = 0.007878719827913105 relative error = 0.3167573810563687 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.51 y2[1] (analytic) = 1.127255492354249 y2[1] (numeric) = 1.127255492353848 absolute error = 4.005684672847565e-13 relative error = 3.553484281085008e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 2.488177246882907 y1[1] (numeric) = 2.479425538604203 absolute error = 0.008751708278704307 relative error = 0.3517317059975574 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.511 y2[1] (analytic) = 1.127744105891986 y2[1] (numeric) = 1.127744105891341 absolute error = 6.45261621912141e-13 relative error = 5.721702454846998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 2.489049747156493 y1[1] (numeric) = 2.479425538604203 absolute error = 0.009624208552289737 relative error = 0.386661960584938 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.512 y2[1] (analytic) = 1.128233591685545 y2[1] (numeric) = 1.128233591684548 absolute error = 9.974243653232406e-13 relative error = 8.840583835419404e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 2.489921758380372 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01049621977616866 relative error = 0.4215481767987831 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.513 y2[1] (analytic) = 1.12872394924544 y2[1] (numeric) = 1.128723949243951 absolute error = 1.48903112062726e-12 relative error = 1.319216378480042e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.490793279682533 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01136774107832972 relative error = 0.4563903865911589 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.514 y2[1] (analytic) = 1.129215178081312 y2[1] (numeric) = 1.129215178079155 absolute error = 2.157607426056529e-12 relative error = 1.910714156112029e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.491664310191455 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01223877158725228 relative error = 0.4911886218859023 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.515 y2[1] (analytic) = 1.129707277701935 y2[1] (numeric) = 1.129707277698887 absolute error = 3.047562202596055e-12 relative error = 2.697656519302457e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.492534849036109 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01310931043190555 relative error = 0.5259429145785092 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.516 y2[1] (analytic) = 1.130200247615206 y2[1] (numeric) = 1.130200247610997 absolute error = 4.209521620168744e-12 relative error = 3.724580337910117e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.493404895345954 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01397935674175077 relative error = 0.5606532965361476 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.517 y2[1] (analytic) = 1.130694087328158 y2[1] (numeric) = 1.130694087322456 absolute error = 5.701661365264954e-12 relative error = 5.042620660322049e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.494274448250945 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01484890964674213 relative error = 0.5953197995976183 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.518 y2[1] (analytic) = 1.13118879634695 y2[1] (numeric) = 1.13118879633936 absolute error = 7.59037277475727e-12 relative error = 6.710084823390705e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.495143506881529 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01571796827732586 relative error = 0.6299424555732439 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.519 y2[1] (analytic) = 1.131684374176873 y2[1] (numeric) = 1.131684374166924 absolute error = 9.949374657480803e-12 relative error = 8.791651528030901e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 2.496012070368647 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01658653176444425 relative error = 0.6645212962449539 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.52 y2[1] (analytic) = 1.13218082032235 y2[1] (numeric) = 1.132180820309488 absolute error = 1.286215578488736e-11 relative error = 1.136051375717997e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.496880137843737 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01745459923953385 relative error = 0.699056353366139 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.521 y2[1] (analytic) = 1.132678134286934 y2[1] (numeric) = 1.132678134270513 absolute error = 1.642086466802084e-11 relative error = 1.449737941516672e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.49774770843873 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01832216983452684 relative error = 0.7335476586616306 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.522 y2[1] (analytic) = 1.133176315573312 y2[1] (numeric) = 1.133176315552584 absolute error = 2.072764182514675e-11 relative error = 1.829162994344789e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.498614781286056 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01918924268185274 relative error = 0.7679952438276976 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.523 y2[1] (analytic) = 1.133675363683301 y2[1] (numeric) = 1.133675363657407 absolute error = 2.589461978175223e-11 relative error = 2.284130061503747e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.499481355518642 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02005581691443892 relative error = 0.80239914053199 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.524 y2[1] (analytic) = 1.134175278117855 y2[1] (numeric) = 1.134175278085811 absolute error = 3.204458920436082e-11 relative error = 2.825364811119696e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.500347430269914 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02092189166571101 relative error = 0.8367593804134844 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.525 y2[1] (analytic) = 1.134676058377059 y2[1] (numeric) = 1.134676058337746 absolute error = 3.931255321276694e-11 relative error = 3.464649925635707e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.501213004673798 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0217874660695947 relative error = 0.8710759950824807 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.526 y2[1] (analytic) = 1.135177703960132 y2[1] (numeric) = 1.135177703912288 absolute error = 4.784417306780142e-11 relative error = 4.214685762492895e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.502078077864719 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02265253926051569 relative error = 0.9053490161205296 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.527 y2[1] (analytic) = 1.135680214365429 y2[1] (numeric) = 1.135680214307631 absolute error = 5.77977665727758e-11 relative error = 5.089264199699984e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.502942648977604 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02351711037340065 relative error = 0.9395784750803966 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.528 y2[1] (analytic) = 1.136183589090439 y2[1] (numeric) = 1.136183589021095 absolute error = 6.93447521626922e-11 relative error = 6.103305207761842e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.503806717147881 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02438117854367805 relative error = 0.9737644034860234 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.529 y2[1] (analytic) = 1.136687827631789 y2[1] (numeric) = 1.13668782754912 absolute error = 8.266942685963841e-11 relative error = 7.272834708881723e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.504670281511484 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02524474290728085 relative error = 1.007906832832564 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.53 y2[1] (analytic) = 1.137192929485239 y2[1] (numeric) = 1.137192929387269 absolute error = 9.796963240660261e-11 relative error = 8.615040585149389e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 2.505533341204847 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02610780260064383 relative error = 1.042005794586204 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.531 y2[1] (analytic) = 1.137698894145688 y2[1] (numeric) = 1.13769889403023 absolute error = 1.15458087535103e-10 relative error = 1.014838707580901e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.506395895364911 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02697035676070803 relative error = 1.07606132018427 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.532 y2[1] (analytic) = 1.13820572110717 y2[1] (numeric) = 1.138205720971808 absolute error = 1.353619438759779e-10 relative error = 1.189257278941691e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.507257943129122 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02783240452491897 relative error = 1.110073441035086 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.533 y2[1] (analytic) = 1.13871340986286 y2[1] (numeric) = 1.138713409704936 absolute error = 1.579238961824103e-10 relative error = 1.386862531121239e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.508119483635432 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02869394503122891 relative error = 1.14404218851799 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.534 y2[1] (analytic) = 1.139221959905068 y2[1] (numeric) = 1.139221959721666 absolute error = 1.834015161961133e-10 relative error = 1.609883961606536e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.508980516022301 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02955497741809765 relative error = 1.177967593983299 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.535 y2[1] (analytic) = 1.139731370725244 y2[1] (numeric) = 1.139731370513174 absolute error = 2.120699171825891e-10 relative error = 1.860700886452242e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.509841039428696 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03041550082449263 relative error = 1.21184968875224 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.536 y2[1] (analytic) = 1.140241641813978 y2[1] (numeric) = 1.140241641569758 absolute error = 2.442201996188942e-10 relative error = 2.141828456908232e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.510701052994094 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03127551438989107 relative error = 1.245688504116967 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.537 y2[1] (analytic) = 1.140752772660999 y2[1] (numeric) = 1.140752772380837 absolute error = 2.801612275504795e-10 relative error = 2.455932909082097e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.511560555858482 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0321350172542787 relative error = 1.27948407134044 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.538 y2[1] (analytic) = 1.141264762755175 y2[1] (numeric) = 1.141264762434955 absolute error = 3.202196285911896e-10 relative error = 2.805831206232408e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.512419547162356 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03299400855815326 relative error = 1.313236421656496 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.539 y2[1] (analytic) = 1.141777611584517 y2[1] (numeric) = 1.141777611219777 absolute error = 3.647400159678682e-10 relative error = 3.194492625071667e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.513278026046726 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03385248744252323 relative error = 1.346945586269724 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.54 y2[1] (analytic) = 1.142291318636176 y2[1] (numeric) = 1.14229131822209 absolute error = 4.140858766987776e-10 relative error = 3.625046167672623e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.514135991653113 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03471045304890996 relative error = 1.38061159635549 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.541 y2[1] (analytic) = 1.142805883396445 y2[1] (numeric) = 1.142805882927804 absolute error = 4.686404597720184e-10 relative error = 4.100787951661646e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.514993443123551 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03556790451934821 relative error = 1.414234483059879 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.542 y2[1] (analytic) = 1.143321305350758 y2[1] (numeric) = 1.143321304821952 absolute error = 5.288067761455295e-10 relative error = 4.625180810247364e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.515850379600589 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0364248409963861 relative error = 1.447814277499635 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.543 y2[1] (analytic) = 1.143837583983696 y2[1] (numeric) = 1.143837583388688 absolute error = 5.95008042836298e-10 relative error = 5.20185777393357e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.51670680022729 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03728126162308687 relative error = 1.481351010762156 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.544 y2[1] (analytic) = 1.144354718778978 y2[1] (numeric) = 1.144354718111289 absolute error = 6.67688571098779e-10 relative error = 5.834629421646466e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.517562704147234 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03813716554303115 relative error = 1.514844713905516 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.545 y2[1] (analytic) = 1.144872709219469 y2[1] (numeric) = 1.144872708472155 absolute error = 7.473137664248952e-10 relative error = 6.527483452150635e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.518418090504517 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03899255190031381 relative error = 1.548295417958279 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.546 y2[1] (analytic) = 1.14539155478718 y2[1] (numeric) = 1.145391553952809 absolute error = 8.343712387670621e-10 relative error = 7.284593947631232e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.519272958443753 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03984741983954976 relative error = 1.581703153919652 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.547 y2[1] (analytic) = 1.145911254963266 y2[1] (numeric) = 1.145911254033894 absolute error = 9.293712466273973e-10 relative error = 8.110324796986046e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.520127307110073 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04070176850587037 relative error = 1.615067952759285 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.548 y2[1] (analytic) = 1.146431809228025 y2[1] (numeric) = 1.146431808195178 absolute error = 1.032846475013116e-09 relative error = 9.009227297248548e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.52098113564913 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04155559704492706 relative error = 1.648389845417342 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.549 y2[1] (analytic) = 1.146953217060904 y2[1] (numeric) = 1.14695321591555 absolute error = 1.145353589748765e-09 relative error = 9.986053247086771e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 2.521834443207094 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04240890460289126 relative error = 1.681668862804434 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.55 y2[1] (analytic) = 1.147475477940494 y2[1] (numeric) = 1.147475476673021 absolute error = 1.267473237476224e-09 relative error = 1.104575445700246e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.522687228930659 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04326169032645621 relative error = 1.71490503580162 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.551 y2[1] (analytic) = 1.147998591344536 y2[1] (numeric) = 1.147998589944726 absolute error = 1.399810045654704e-09 relative error = 1.219348225867809e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.523539491967039 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04411395336283563 relative error = 1.748098395260296 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.552 y2[1] (analytic) = 1.148522556749915 y2[1] (numeric) = 1.148522555206921 absolute error = 1.542994398917585e-09 relative error = 1.343460247993688e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.52439123146397 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04496569285976681 relative error = 1.781248972002247 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.553 y2[1] (analytic) = 1.149047373632667 y2[1] (numeric) = 1.149047371934985 absolute error = 1.697681994983213e-09 relative error = 1.477469105225889e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.525242446569713 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04581690796551019 relative error = 1.814356796819562 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.554 y2[1] (analytic) = 1.149573041467974 y2[1] (numeric) = 1.149573039603419 absolute error = 1.864554510788707e-09 relative error = 1.62195392857136e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.526093136433054 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04666759782885066 relative error = 1.847421900474628 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.555 y2[1] (analytic) = 1.150099559730168 y2[1] (numeric) = 1.150099557685848 absolute error = 2.044320046579173e-09 relative error = 1.777515719646744e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.526943300203301 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04751776159909848 relative error = 1.880444313700094 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.556 y2[1] (analytic) = 1.150626927892733 y2[1] (numeric) = 1.150626925655018 absolute error = 2.237714902264543e-09 relative error = 1.944778840143009e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.527792937030293 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04836739842609017 relative error = 1.913424067198845 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5570000000000001 y2[1] (analytic) = 1.151155145428298 y2[1] (numeric) = 1.151155142982796 absolute error = 2.445502023107338e-09 relative error = 2.124389603625031e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.528642046064391 y1[1] (numeric) = 2.479425538604203 absolute error = 0.04921650746018846 relative error = 1.946361191643935 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5580000000000001 y2[1] (analytic) = 1.151684211808647 y2[1] (numeric) = 1.151684209140175 absolute error = 2.668472554034906e-09 relative error = 2.31701757015861e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.529490626456488 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05006508785228503 relative error = 1.97925571767863 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5590000000000001 y2[1] (analytic) = 1.152214126504714 y2[1] (numeric) = 1.152214123597267 absolute error = 2.907447171907052e-09 relative error = 2.523356644417218e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.530338677358003 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05091313875379955 relative error = 2.012107675916308 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5600000000000001 y2[1] (analytic) = 1.152744888986584 y2[1] (numeric) = 1.152744885823309 absolute error = 3.163274753248402e-09 relative error = 2.744123859034709e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.531186197920884 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05176065931668061 relative error = 2.044917096940431 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5610000000000001 y2[1] (analytic) = 1.153276498723494 y2[1] (numeric) = 1.153276495286659 absolute error = 3.43683503878367e-09 relative error = 2.98006162666779e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.532033187297611 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05260764869340795 relative error = 2.07768401130457 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5620000000000001 y2[1] (analytic) = 1.153808955183835 y2[1] (numeric) = 1.153808951454797 absolute error = 3.729037301170024e-09 relative error = 3.231936521567283e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.532879644641195 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05345410603699241 relative error = 2.110408449532337 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5630000000000001 y2[1] (analytic) = 1.15434225783515 y2[1] (numeric) = 1.154342253794327 absolute error = 4.040822565443136e-09 relative error = 3.500541141949774e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.533725569105179 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05430003050097643 relative error = 2.143090442117346 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5640000000000001 y2[1] (analytic) = 1.154876406144137 y2[1] (numeric) = 1.154876401770975 absolute error = 4.373162054704949e-09 relative error = 3.786692698403909e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.534570959843639 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05514542123943622 relative error = 2.175730019523233 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5650000000000001 y2[1] (analytic) = 1.155411399576647 y2[1] (numeric) = 1.155411394849587 absolute error = 4.727059854658933e-09 relative error = 4.091235257321306e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.535415816011183 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05599027740698048 relative error = 2.208327212183546 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5660000000000001 y2[1] (analytic) = 1.155947237597687 y2[1] (numeric) = 1.155947232494135 absolute error = 5.103552025431668e-09 relative error = 4.415038904403607e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.536260136762956 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05683459815875347 relative error = 2.240882050501799 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5670000000000001 y2[1] (analytic) = 1.156483919671419 y2[1] (numeric) = 1.156483914167711 absolute error = 5.503708155885079e-09 relative error = 4.759001022209452e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.537103921254637 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05767838265043412 relative error = 2.273394564851379 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5680000000000001 y2[1] (analytic) = 1.157021445261162 y2[1] (numeric) = 1.157021439332531 absolute error = 5.928630253393408e-09 relative error = 5.12404526093741e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.537947168642441 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05852163003823829 relative error = 2.305864785575571 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5690000000000001 y2[1] (analytic) = 1.157559813829389 y2[1] (numeric) = 1.157559807449932 absolute error = 6.379456074512291e-09 relative error = 5.511124348216663e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.538789878083122 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05936433947891917 relative error = 2.338292742987513 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5700000000000001 y2[1] (analytic) = 1.158099024837731 y2[1] (numeric) = 1.158099017980375 absolute error = 6.857356238398893e-09 relative error = 5.921217522275111e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.539632048733969 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06020651012976641 relative error = 2.370678467370103 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5710000000000001 y2[1] (analytic) = 1.158639077746979 y2[1] (numeric) = 1.158639070383441 absolute error = 7.363537779525586e-09 relative error = 6.355333529613282e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.540473679752813 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06104814114860968 relative error = 2.403021988976073 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5720000000000001 y2[1] (analytic) = 1.159179972017079 y2[1] (numeric) = 1.159179964117836 absolute error = 7.899242815412322e-09 relative error = 6.814509399836263e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.541314770298022 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06188923169381866 relative error = 2.435323338027932 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5730000000000001 y2[1] (analytic) = 1.159721707107137 y2[1] (numeric) = 1.159721698641387 absolute error = 8.465749656849653e-09 relative error = 7.29981132970858e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.542155319528505 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06272978092430215 relative error = 2.467582544717868 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5740000000000001 y2[1] (analytic) = 1.160264282475418 y2[1] (numeric) = 1.160264273411044 absolute error = 9.06437391812176e-09 relative error = 7.812335564431033e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.542995326603715 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06356978799951163 relative error = 2.49979963920783 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5750000000000001 y2[1] (analytic) = 1.160807697579346 y2[1] (numeric) = 1.160807687882878 absolute error = 9.696467628828032e-09 relative error = 8.353207554574506e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.543834790683642 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06440925207943948 relative error = 2.531974651629394 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5760000000000001 y2[1] (analytic) = 1.161351951875507 y2[1] (numeric) = 1.161351941512085 absolute error = 1.036342145432911e-08 relative error = 8.923583791797889e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.544673710928825 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0652481723246221 relative error = 2.564107612083831 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5770000000000001 y2[1] (analytic) = 1.161897044819646 y2[1] (numeric) = 1.161897033752981 absolute error = 1.10666642516577e-08 relative error = 9.52465134583031e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 2.545512086500342 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06608654789613944 relative error = 2.596198550642024 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5780000000000001 y2[1] (analytic) = 1.16244297586667 y2[1] (numeric) = 1.162442964059007 absolute error = 1.180766329156313e-08 relative error = 1.015762797547968e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.546349916559818 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06692437795561545 relative error = 2.628247497344432 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5790000000000001 y2[1] (analytic) = 1.162989744470649 y2[1] (numeric) = 1.162989731882722 absolute error = 1.258792647895746e-08 relative error = 1.082376395733999e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.547187200269423 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06776166166522035 relative error = 2.660254482201112 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5800000000000001 y2[1] (analytic) = 1.163537350084813 y2[1] (numeric) = 1.163537336675813 absolute error = 1.340900035451398e-08 relative error = 1.15243402831345e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.548023936791874 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06859839818767055 relative error = 2.692219535191665 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5810000000000001 y2[1] (analytic) = 1.164085792161558 y2[1] (numeric) = 1.164085777889085 absolute error = 1.427247298124712e-08 relative error = 1.226067105822585e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.548860125290433 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06943458668622959 relative error = 2.72414268626521 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5820000000000001 y2[1] (analytic) = 1.164635070152441 y2[1] (numeric) = 1.164635054972467 absolute error = 1.517997327837861e-08 relative error = 1.303410284252533e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.549695764928912 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07027022632470947 relative error = 2.756023965340377 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5830000000000001 y2[1] (analytic) = 1.165185183508184 y2[1] (numeric) = 1.165185167375012 absolute error = 1.61331716874713e-08 relative error = 1.384601513632103e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.550530854871673 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07110531626746974 relative error = 2.787863402305216 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5840000000000001 y2[1] (analytic) = 1.165736131678674 y2[1] (numeric) = 1.165736114544893 absolute error = 1.713378106060759e-08 relative error = 1.469782105486835e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.551365394283625 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07193985567942152 relative error = 2.819661027017295 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5850000000000001 y2[1] (analytic) = 1.166287914112963 y2[1] (numeric) = 1.166287895929405 absolute error = 1.818355732652321e-08 relative error = 1.559096781033951e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.552199382330228 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0727738437260248 relative error = 2.851416869303538 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5860000000000001 y2[1] (analytic) = 1.166840530259268 y2[1] (numeric) = 1.166840510974969 absolute error = 1.928429882447347e-08 relative error = 1.652693605028321e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.553032818177495 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07360727957329161 relative error = 2.883130958960286 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5870000000000001 y2[1] (analytic) = 1.167393979564973 y2[1] (numeric) = 1.167393959127125 absolute error = 2.043784852467923e-08 relative error = 1.750724167028456e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.553865700991989 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07444016238778639 relative error = 2.914803325753263 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5880000000000001 y2[1] (analytic) = 1.16794826147663 y2[1] (numeric) = 1.167948239830536 absolute error = 2.164609336219314e-08 relative error = 1.853343514962394e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.554698029940829 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07527249133662606 relative error = 2.946433999417516 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5890000000000001 y2[1] (analytic) = 1.168503375439955 y2[1] (numeric) = 1.168503352528989 absolute error = 2.291096601325648e-08 relative error = 1.960710297873999e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.555529804191686 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07610426558748262 relative error = 2.97802300965746 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5900000000000001 y2[1] (analytic) = 1.169059320899837 y2[1] (numeric) = 1.169059296665393 absolute error = 2.423444378507611e-08 relative error = 2.072986661311816e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.556361022912784 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07693548430858099 relative error = 3.009570386146739 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5910000000000001 y2[1] (analytic) = 1.169616097300327 y2[1] (numeric) = 1.169616071681777 absolute error = 2.561855039218131e-08 relative error = 2.190338389777062e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.557191685272906 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07776614666870252 relative error = 3.041076158528306 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5920000000000001 y2[1] (analytic) = 1.170173704084652 y2[1] (numeric) = 1.170173677019295 absolute error = 2.70653566225576e-08 relative error = 2.312934953851916e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.558021790441388 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07859625183718544 relative error = 3.072540356414384 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5930000000000001 y2[1] (analytic) = 1.170732140695203 y2[1] (numeric) = 1.170732112118223 absolute error = 2.857697967151296e-08 relative error = 2.440949443358018e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.558851337588127 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07942579898392443 relative error = 3.103963009386394 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5940000000000001 y2[1] (analytic) = 1.171291406573544 y2[1] (numeric) = 1.171291376417959 absolute error = 3.015558491803461e-08 relative error = 2.574558709198655e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.559680325883575 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08025478727937241 relative error = 3.135344146994968 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5950000000000001 y2[1] (analytic) = 1.17185150116041 y2[1] (numeric) = 1.171851469357024 absolute error = 3.180338636887825e-08 relative error = 2.713943391068355e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.560508754498744 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08108321589454137 relative error = 3.166683798759929 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5960000000000001 y2[1] (analytic) = 1.172412423895705 y2[1] (numeric) = 1.172412390373059 absolute error = 3.352264621447887e-08 relative error = 2.859287869288304e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.561336622605205 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08191108400100244 relative error = 3.197981994170233 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5970000000000001 y2[1] (analytic) = 1.172974174218508 y2[1] (numeric) = 1.172974138902831 absolute error = 3.531567682735215e-08 relative error = 3.01078042497237e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.56216392937509 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08273839077088718 relative error = 3.229238762683971 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5980000000000001 y2[1] (analytic) = 1.173536751567068 y2[1] (numeric) = 1.173536714382228 absolute error = 3.718483987391608e-08 relative error = 3.168613153722008e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.562990673981093 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08356513537688981 relative error = 3.260454133728396 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5990000000000001 y2[1] (analytic) = 1.174100155378807 y2[1] (numeric) = 1.174100116246259 absolute error = 3.913254786880316e-08 relative error = 3.332982087561141e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.563816855596468 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08439131699226543 relative error = 3.2916281366998 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6000000000000001 y2[1] (analytic) = 1.174664385090322 y2[1] (numeric) = 1.174664343929057 absolute error = 4.116126461894964e-08 relative error = 3.504087221967208e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.564642473395035 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08521693479083225 relative error = 3.322760800963549 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6010000000000001 y2[1] (analytic) = 1.175229440137383 y2[1] (numeric) = 1.175229396863877 absolute error = 4.327350544564013e-08 relative error = 3.682132523890953e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.565467526551176 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08604198794697293 relative error = 3.353852155854079 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6020000000000001 y2[1] (analytic) = 1.175795319954935 y2[1] (numeric) = 1.175795274483097 absolute error = 4.547183762859675e-08 relative error = 3.867325958597926e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.566292014239837 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0868664756356341 relative error = 3.384902230674823 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6030000000000001 y2[1] (analytic) = 1.176362023977098 y2[1] (numeric) = 1.176361976218216 absolute error = 4.775888196029143e-08 relative error = 4.059879610770333e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.567115935636531 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08769039703232817 relative error = 3.41591105469823 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6040000000000001 y2[1] (analytic) = 1.176929551637169 y2[1] (numeric) = 1.176929501499857 absolute error = 5.013731207981209e-08 relative error = 4.260009616554238e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.567939289917337 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08851375131313377 relative error = 3.446878657165726 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6050000000000001 y2[1] (analytic) = 1.17749790236762 y2[1] (numeric) = 1.177497849757764 absolute error = 5.260985558308562e-08 relative error = 4.467936246621065e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.5687620762589 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08933653765469707 relative error = 3.477805067287712 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6060000000000001 y2[1] (analytic) = 1.1780670756001 y2[1] (numeric) = 1.178067020420805 absolute error = 5.517929491105633e-08 relative error = 4.683883970099781e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.569584293838434 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09015875523423134 relative error = 3.508690314243498 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6070000000000001 y2[1] (analytic) = 1.178637070765435 y2[1] (numeric) = 1.178637012916968 absolute error = 5.784846757173057e-08 relative error = 4.908081461765187e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.570405941833722 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09098040322951917 relative error = 3.539534427181332 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6080000000000001 y2[1] (analytic) = 1.179207887293632 y2[1] (numeric) = 1.179207826673366 absolute error = 6.062026614017668e-08 relative error = 5.140761590333712e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.571227019423116 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09180148081891293 relative error = 3.570337435218367 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6090000000000001 y2[1] (analytic) = 1.179779524613873 y2[1] (numeric) = 1.179779461116233 absolute error = 6.349763981283729e-08 relative error = 5.382161538497567e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.572047525785538 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09262198718133474 relative error = 3.601099367440606 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6100000000000001 y2[1] (analytic) = 1.180351982154521 y2[1] (numeric) = 1.180351915670926 absolute error = 6.648359485161848e-08 relative error = 5.632522828509562e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.572867460100481 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09344192149627828 relative error = 3.631820252902922 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6110000000000001 y2[1] (analytic) = 1.180925259343118 y2[1] (numeric) = 1.180925189761924 absolute error = 6.958119436184518e-08 relative error = 5.892091291243044e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.573686821548013 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09426128294380964 relative error = 3.662500120629039 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6120000000000001 y2[1] (analytic) = 1.181499355606388 y2[1] (numeric) = 1.181499282812828 absolute error = 7.279355962452883e-08 relative error = 6.161117166853517e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.57450560930877 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09508007070456737 relative error = 3.69313899961148 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6130000000000001 y2[1] (analytic) = 1.182074270370234 y2[1] (numeric) = 1.182074194246363 absolute error = 7.612387054045655e-08 relative error = 6.439855129966922e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.575323822563966 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0958982839597633 relative error = 3.723736918811551 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6140000000000001 y2[1] (analytic) = 1.182650003059741 y2[1] (numeric) = 1.182649923484375 absolute error = 7.957536563019119e-08 relative error = 6.72856427720074e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.576141460495388 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09671592189118483 relative error = 3.754293907159373 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6150000000000001 y2[1] (analytic) = 1.183226553099177 y2[1] (numeric) = 1.183226469947833 absolute error = 8.315134403247271e-08 relative error = 7.027508283572387e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.576958522285397 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09753298368119401 relative error = 3.784809993553799 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6160000000000001 y2[1] (analytic) = 1.183803919911992 y2[1] (numeric) = 1.183803833056828 absolute error = 8.6855163949906e-08 relative error = 7.336955258296753e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.577775007116932 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09834946851272885 relative error = 3.815285206862415 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6170000000000001 y2[1] (analytic) = 1.184382102920819 y2[1] (numeric) = 1.184382012230574 absolute error = 9.069024531349612e-08 relative error = 7.657177957168027e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.578590914173508 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09916537556930471 relative error = 3.845719575921537 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6180000000000001 y2[1] (analytic) = 1.184961101547476 y2[1] (numeric) = 1.184961006887407 absolute error = 9.466006867242527e-08 relative error = 7.988453675720316e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.579406242639217 y1[1] (numeric) = 2.479425538604203 absolute error = 0.09998070403501425 relative error = 3.876113129536168 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6190000000000001 y2[1] (analytic) = 1.185540915212962 y2[1] (numeric) = 1.185540816444785 absolute error = 9.876817719245423e-08 relative error = 8.331064404868068e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.580220991698733 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1007954530945301 relative error = 3.90646589648004 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6200000000000001 y2[1] (analytic) = 1.186121543337466 y2[1] (numeric) = 1.18612144031929 absolute error = 1.030181764338778e-07 relative error = 8.685296798843139e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.581035160537305 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1016096219331022 relative error = 3.936777905495471 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6210000000000001 y2[1] (analytic) = 1.186702985340359 y2[1] (numeric) = 1.186702877926624 absolute error = 1.074137345735693e-07 relative error = 9.05144218060275e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.581848748340765 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1024232097365623 relative error = 3.967049185293481 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6220000000000001 y2[1] (analytic) = 1.187285240640198 y2[1] (numeric) = 1.187285128681614 absolute error = 1.119585844033821e-07 relative error = 9.429796696791476e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.582661754295525 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1032362156913225 relative error = 3.997279764553693 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6230000000000001 y2[1] (analytic) = 1.187868308654729 y2[1] (numeric) = 1.187868191998207 absolute error = 1.166565222199267e-07 relative error = 9.820661210504151e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.58347417758858 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1040486389843771 relative error = 4.027469671924351 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6240000000000001 y2[1] (analytic) = 1.188452188800884 y2[1] (numeric) = 1.188452067289475 absolute error = 1.215114093788827e-07 relative error = 1.022434141852054e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.584286017407505 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1048604788033023 relative error = 4.057618936022254 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6250000000000001 y2[1] (analytic) = 1.189036880494782 y2[1] (numeric) = 1.189036753967609 absolute error = 1.265271729611328e-07 relative error = 1.064114789345157e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.585097272940462 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1056717343362594 relative error = 4.087727585432843 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6260000000000001 y2[1] (analytic) = 1.189622383151732 y2[1] (numeric) = 1.189622251443927 absolute error = 1.317078057727628e-07 relative error = 1.107139606971937e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.585907943376195 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1064824047719917 relative error = 4.117795648710018 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6270000000000001 y2[1] (analytic) = 1.190208696186232 y2[1] (numeric) = 1.190208559128864 absolute error = 1.370573674552844e-07 relative error = 1.151540632281173e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.586718027904033 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1072924892998297 relative error = 4.147823154376309 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6280000000000001 y2[1] (analytic) = 1.190795819011968 y2[1] (numeric) = 1.190795676431983 absolute error = 1.425799847076803e-07 relative error = 1.197350397366883e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.587527525713892 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1081019871096891 relative error = 4.177810130922725 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6290000000000001 y2[1] (analytic) = 1.191383751041817 y2[1] (numeric) = 1.191383602761965 absolute error = 1.482798519525375e-07 relative error = 1.244601933028486e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.588336435996274 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1089108973920712 relative error = 4.207756606808743 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6300000000000001 y2[1] (analytic) = 1.191972491687848 y2[1] (numeric) = 1.191972337526616 absolute error = 1.541612322242258e-07 relative error = 1.29332877477677e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.58914475794227 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1097192193380665 relative error = 4.237662610462389 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6310000000000001 y2[1] (analytic) = 1.19256204036132 y2[1] (numeric) = 1.192561880132863 absolute error = 1.602284573909429e-07 relative error = 1.343564963231575e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.589952490743556 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1105269521393533 relative error = 4.267528170280134 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6320000000000001 y2[1] (analytic) = 1.193152396472684 y2[1] (numeric) = 1.193152229986756 absolute error = 1.664859288208476e-07 relative error = 1.395345048235496e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.590759633592401 y1[1] (numeric) = 2.479425538604203 absolute error = 0.111334094988198 relative error = 4.297353314626871 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6330000000000001 y2[1] (analytic) = 1.193743559431585 y2[1] (numeric) = 1.193743386493467 absolute error = 1.729381182702383e-07 relative error = 1.448704094810654e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.591566185681661 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1121406470774584 relative error = 4.327138071835969 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6340000000000001 y2[1] (analytic) = 1.194335528646859 y2[1] (numeric) = 1.194335349057291 absolute error = 1.795895678835535e-07 relative error = 1.503677681656362e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.592372146204786 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1129466076005827 relative error = 4.356882470209215 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6350000000000001 y2[1] (analytic) = 1.194928303526537 y2[1] (numeric) = 1.194928117081646 absolute error = 1.864448913035943e-07 relative error = 1.560301908937532e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.593177514355813 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1137519757516099 relative error = 4.386586538016767 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6360000000000001 y2[1] (analytic) = 1.195521883477845 y2[1] (numeric) = 1.195521689969071 absolute error = 1.935087743376585e-07 relative error = 1.618613402330452e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.593982289329376 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1145567507251726 relative error = 4.416250303497216 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6370000000000001 y2[1] (analytic) = 1.196116267907202 y2[1] (numeric) = 1.196116067121227 absolute error = 2.007859747354956e-07 relative error = 1.678649309626087e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.594786470320698 y1[1] (numeric) = 2.479425538604203 absolute error = 0.115360931716495 relative error = 4.445873794857468 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6380000000000001 y2[1] (analytic) = 1.196711456220224 y2[1] (numeric) = 1.1967112479389 absolute error = 2.082813237436199e-07 relative error = 1.740447312182253e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.5955900565256 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1161645179213968 relative error = 4.475457040272842 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6390000000000001 y2[1] (analytic) = 1.197307447821723 y2[1] (numeric) = 1.197307231821997 absolute error = 2.159997263273539e-07 relative error = 1.804045625209506e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.596393047140495 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1169675085362916 relative error = 4.505000067886959 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6400000000000001 y2[1] (analytic) = 1.197904242115708 y2[1] (numeric) = 1.197904018169546 absolute error = 2.239461618369631e-07 relative error = 1.869483001758431e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.597195441362392 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1177699027581891 relative error = 4.534502905811793 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6410000000000001 y2[1] (analytic) = 1.198501838505383 y2[1] (numeric) = 1.198501606379699 absolute error = 2.321256837856112e-07 relative error = 1.936798729279284e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.597997238388898 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1185716997846948 relative error = 4.5639655821276 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6420000000000001 y2[1] (analytic) = 1.199100236393153 y2[1] (numeric) = 1.19909999584973 absolute error = 2.405434225138947e-07 relative error = 2.006032650259832e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.598798437418215 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1193728988140124 relative error = 4.593388124882965 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6430000000000001 y2[1] (analytic) = 1.19969943518062 y2[1] (numeric) = 1.199699185976037 absolute error = 2.492045829693978e-07 relative error = 2.077225142078016e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.599599037649145 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1201734990449421 relative error = 4.622770562094712 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6440000000000001 y2[1] (analytic) = 1.200299434268585 y2[1] (numeric) = 1.200299176154137 absolute error = 2.581144478153163e-07 relative error = 2.150417141307753e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.600399038281087 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1209734996768841 relative error = 4.652112921747959 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6450000000000001 y2[1] (analytic) = 1.200900233057049 y2[1] (numeric) = 1.200899965778673 absolute error = 2.672783763202347e-07 relative error = 2.225650132816134e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.601198438514041 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1217728999098382 relative error = 4.681415231796083 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6460000000000001 y2[1] (analytic) = 1.201501830945213 y2[1] (numeric) = 1.201501554243407 absolute error = 2.76701806578572e-07 relative error = 2.302966166609106e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.601997237548606 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1225716989444035 relative error = 4.710677520160655 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6470000000000001 y2[1] (analytic) = 1.20210422733148 y2[1] (numeric) = 1.202103940941226 absolute error = 2.863902539562702e-07 relative error = 2.38240784322022e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.602795434585985 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1233698959817815 relative error = 4.739899814731518 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6480000000000001 y2[1] (analytic) = 1.202707421613454 y2[1] (numeric) = 1.20270712526414 absolute error = 2.963493137553286e-07 relative error = 2.464018334216069e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.603593028827978 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1241674902237753 relative error = 4.769082143366697 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6490000000000001 y2[1] (analytic) = 1.203311413187939 y2[1] (numeric) = 1.203311106603278 absolute error = 3.065846605476708e-07 relative error = 2.547841374955753e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.604390019476994 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1249644808727908 relative error = 4.798224533892423 % Correct digits = 2 h = 0.001 Finished! Maximum Time Reached before Solution Completed! diff(y2,x,1) = y1 - 2.0; diff(y1,x,1) = diff(y2,x,5); Iterations = 149 Total Elapsed Time = 3 Minutes 2 Seconds Elapsed Time(since restart) = 2 Minutes 54 Seconds Expected Time Remaining = 3 Hours 9 Minutes 4 Seconds Optimized Time Remaining = 3 Hours 0 Minutes 45 Seconds Expected Total Time = 3 Hours 3 Minutes 47 Seconds Time to Timeout Unknown Percent Done = 1.579 %