##############ECHO OF PROBLEM################# ##############temp/mtest3postode.ode################# diff ( y2 , x , 1 ) = m1 * y1 + 1.0; diff ( y1 , x , 1 ) = y2 - 1.0; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=0.5; glob_h=0.00001; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); glob_max_iter=20; /* 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(1.0 + cos(x)); } double exact_soln_y2 (double x) { return(1.0 - sin(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 = 0.4 estimated_steps = 400 step_error = 2.5e-13 est_needed_step_err = 2.5e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 3.171638207405794e-57 value3 = 2.782342401586787e-56 max_value3 = 2.782342401586787e-56 value3 = 2.782342401586787e-56 best_h = 0.001 START of Soultion x[1] = 0.1 y2[1] (analytic) = 0.9001665833531718 y2[1] (numeric) = 0.9001665833531718 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.995004165278026 y1[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 x[1] = 0.1 y2[1] (analytic) = 0.9001665833531718 y2[1] (numeric) = 0.9001665833531718 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.995004165278026 y1[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 0.899171629270432 y2[1] (numeric) = 0.8991716292704319 absolute error = 1.110223024625157e-16 relative error = 1.234717587259695e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.994903834375977 y1[1] (numeric) = 1.994903834375977 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 0.8981767760160545 y2[1] (numeric) = 0.8981767760160544 absolute error = 1.110223024625157e-16 relative error = 1.236085205353063e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.994802508570176 y1[1] (numeric) = 1.994802508570176 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 0.8971820245848925 y2[1] (numeric) = 0.8971820245848924 absolute error = 1.110223024625157e-16 relative error = 1.23745571601129e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.99470018796195 y1[1] (numeric) = 1.99470018796195 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 0.8961873759716973 y2[1] (numeric) = 0.8961873759716972 absolute error = 1.110223024625157e-16 relative error = 1.238829127024234e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.994596872653619 y1[1] (numeric) = 1.994596872653619 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 0.8951928311711175 y2[1] (numeric) = 0.8951928311711174 absolute error = 1.110223024625157e-16 relative error = 1.240205446208422e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.994492562748498 y1[1] (numeric) = 1.994492562748498 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 0.8941983911776978 y2[1] (numeric) = 0.8941983911776976 absolute error = 2.220446049250313e-16 relative error = 2.483169362814319e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.994387258350897 y1[1] (numeric) = 1.994387258350897 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 0.8932040569858781 y2[1] (numeric) = 0.8932040569858779 absolute error = 2.220446049250313e-16 relative error = 2.485933680981275e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.99428095956612 y1[1] (numeric) = 1.99428095956612 absolute error = 2.220446049250313e-16 relative error = 1.113406833976592e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 0.8922098295899925 y2[1] (numeric) = 0.8922098295899923 absolute error = 2.220446049250313e-16 relative error = 2.488703862712094e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.994173666500467 y1[1] (numeric) = 1.994173666500467 absolute error = 2.220446049250313e-16 relative error = 1.113466738905908e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 0.8912157099842684 y2[1] (numeric) = 0.8912157099842681 absolute error = 2.220446049250313e-16 relative error = 2.491479923855369e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.99406537926123 y1[1] (numeric) = 1.99406537926123 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 0.8902216991628252 y2[1] (numeric) = 0.8902216991628249 absolute error = 3.33066907387547e-16 relative error = 3.741392820471203e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993956097956697 y1[1] (numeric) = 1.993956097956697 absolute error = 2.220446049250313e-16 relative error = 1.113588233725763e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 0.8892277981196737 y2[1] (numeric) = 0.8892277981196733 absolute error = 3.33066907387547e-16 relative error = 3.745574622069139e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993845822696148 y1[1] (numeric) = 1.993845822696149 absolute error = 2.220446049250313e-16 relative error = 1.113649823860376e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 0.8882340078487148 y2[1] (numeric) = 0.8882340078487144 absolute error = 3.33066907387547e-16 relative error = 3.749765314595738e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.99373455358986 y1[1] (numeric) = 1.99373455358986 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 0.8872403293437388 y2[1] (numeric) = 0.8872403293437384 absolute error = 3.33066907387547e-16 relative error = 3.753964922152548e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993622290749101 y1[1] (numeric) = 1.993622290749101 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 0.886246763598424 y2[1] (numeric) = 0.8862467635984237 absolute error = 3.33066907387547e-16 relative error = 3.758173468924127e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993509034286134 y1[1] (numeric) = 1.993509034286134 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 0.8852533116063361 y2[1] (numeric) = 0.8852533116063358 absolute error = 3.33066907387547e-16 relative error = 3.762390979178384e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993394784314216 y1[1] (numeric) = 1.993394784314216 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 0.8842599743609272 y2[1] (numeric) = 0.8842599743609267 absolute error = 4.440892098500626e-16 relative error = 5.022156636355898e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993279540947596 y1[1] (numeric) = 1.993279540947596 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 0.8832667528555341 y2[1] (numeric) = 0.8832667528555337 absolute error = 4.440892098500626e-16 relative error = 5.027803983500522e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993163304301518 y1[1] (numeric) = 1.993163304301518 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 0.8822736480833785 y2[1] (numeric) = 0.882273648083378 absolute error = 4.440892098500626e-16 relative error = 5.033463379698431e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.993046074492218 y1[1] (numeric) = 1.993046074492218 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 0.8812806610375651 y2[1] (numeric) = 0.8812806610375645 absolute error = 5.551115123125783e-16 relative error = 6.298918572194974e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992927851636927 y1[1] (numeric) = 1.992927851636927 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 0.8802877927110806 y2[1] (numeric) = 0.8802877927110802 absolute error = 4.440892098500626e-16 relative error = 5.044818450592978e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992808635853866 y1[1] (numeric) = 1.992808635853866 absolute error = 2.220446049250313e-16 relative error = 1.114229439445855e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 0.8792950440967935 y2[1] (numeric) = 0.879295044096793 absolute error = 4.440892098500626e-16 relative error = 5.050514191243149e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992688427262253 y1[1] (numeric) = 1.992688427262253 absolute error = 2.220446049250313e-16 relative error = 1.114296655147928e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 0.8783024161874522 y2[1] (numeric) = 0.8783024161874518 absolute error = 4.440892098500626e-16 relative error = 5.056222112854607e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992567225982295 y1[1] (numeric) = 1.992567225982295 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 0.8773099099756846 y2[1] (numeric) = 0.8773099099756841 absolute error = 4.440892098500626e-16 relative error = 5.061942248690328e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992445032135194 y1[1] (numeric) = 1.992445032135194 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 0.8763175264539969 y2[1] (numeric) = 0.8763175264539963 absolute error = 5.551115123125783e-16 relative error = 6.334593290160782e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992321845843143 y1[1] (numeric) = 1.992321845843143 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 0.8753252666147723 y2[1] (numeric) = 0.8753252666147717 absolute error = 5.551115123125783e-16 relative error = 6.341774120829543e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992197667229329 y1[1] (numeric) = 1.992197667229329 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 0.8743331314502707 y2[1] (numeric) = 0.8743331314502701 absolute error = 5.551115123125783e-16 relative error = 6.348970344882227e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.992072496417931 y1[1] (numeric) = 1.992072496417931 absolute error = 2.220446049250313e-16 relative error = 1.114641185621023e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 0.8733411219526273 y2[1] (numeric) = 0.8733411219526267 absolute error = 5.551115123125783e-16 relative error = 6.356182004477848e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991946333534119 y1[1] (numeric) = 1.991946333534119 absolute error = 2.220446049250313e-16 relative error = 1.114711783078407e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 0.8723492391138512 y2[1] (numeric) = 0.8723492391138508 absolute error = 4.440892098500626e-16 relative error = 5.090727313537601e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991819178704056 y1[1] (numeric) = 1.991819178704056 absolute error = 2.220446049250313e-16 relative error = 1.114782944652139e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 0.8713574839258255 y2[1] (numeric) = 0.871357483925825 absolute error = 4.440892098500626e-16 relative error = 5.09652143973398e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991691032054896 y1[1] (numeric) = 1.991691032054897 absolute error = 4.440892098500626e-16 relative error = 2.229709340970826e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 0.8703658573803051 y2[1] (numeric) = 0.8703658573803046 absolute error = 5.551115123125783e-16 relative error = 6.37791002031486e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991561893714788 y1[1] (numeric) = 1.991561893714788 absolute error = 2.220446049250313e-16 relative error = 1.114926960722569e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 0.8693743604689166 y2[1] (numeric) = 0.869374360468916 absolute error = 5.551115123125783e-16 relative error = 6.385183846613171e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991431763812868 y1[1] (numeric) = 1.991431763812869 absolute error = 2.220446049250313e-16 relative error = 1.114999815509102e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 0.8683829941831566 y2[1] (numeric) = 0.8683829941831561 absolute error = 4.440892098500626e-16 relative error = 5.113978657168368e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991300642479268 y1[1] (numeric) = 1.991300642479268 absolute error = 2.220446049250313e-16 relative error = 1.115073234991653e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 0.8673917595143915 y2[1] (numeric) = 0.8673917595143911 absolute error = 4.440892098500626e-16 relative error = 5.119822790323551e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991168529845107 y1[1] (numeric) = 1.991168529845107 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 0.8664006574538559 y2[1] (numeric) = 0.8664006574538554 absolute error = 4.440892098500626e-16 relative error = 5.125679511314482e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.991035426042499 y1[1] (numeric) = 1.991035426042499 absolute error = 2.220446049250313e-16 relative error = 1.115221768637138e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 0.8654096889926517 y2[1] (numeric) = 0.8654096889926511 absolute error = 5.551115123125783e-16 relative error = 6.414436068525365e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990901331204548 y1[1] (numeric) = 1.990901331204548 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 0.8644188551217472 y2[1] (numeric) = 0.8644188551217467 absolute error = 5.551115123125783e-16 relative error = 6.421788569551676e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990766245465348 y1[1] (numeric) = 1.990766245465348 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 0.8634281568319764 y2[1] (numeric) = 0.8634281568319758 absolute error = 5.551115123125783e-16 relative error = 6.429156935874669e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990630168959985 y1[1] (numeric) = 1.990630168959985 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 0.8624375951140373 y2[1] (numeric) = 0.8624375951140367 absolute error = 5.551115123125783e-16 relative error = 6.436541211299789e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990493101824536 y1[1] (numeric) = 1.990493101824536 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 0.8614471709584917 y2[1] (numeric) = 0.8614471709584911 absolute error = 5.551115123125783e-16 relative error = 6.443941439785934e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990355044196067 y1[1] (numeric) = 1.990355044196067 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 0.8604568853557635 y2[1] (numeric) = 0.8604568853557629 absolute error = 5.551115123125783e-16 relative error = 6.451357665446103e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990215996212637 y1[1] (numeric) = 1.990215996212637 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 0.8594667392961384 y2[1] (numeric) = 0.8594667392961378 absolute error = 5.551115123125783e-16 relative error = 6.458789932548032e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.990075958013293 y1[1] (numeric) = 1.990075958013293 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 0.8584767337697622 y2[1] (numeric) = 0.8584767337697616 absolute error = 5.551115123125783e-16 relative error = 6.466238285514858e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989934929738074 y1[1] (numeric) = 1.989934929738074 absolute error = 2.220446049250313e-16 relative error = 1.115838521183494e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 0.8574868697666405 y2[1] (numeric) = 0.8574868697666399 absolute error = 5.551115123125783e-16 relative error = 6.473702768925759e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989792911528007 y1[1] (numeric) = 1.989792911528007 absolute error = 2.220446049250313e-16 relative error = 1.115918162330361e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 0.8564971482766371 y2[1] (numeric) = 0.8564971482766366 absolute error = 5.551115123125783e-16 relative error = 6.481183427516616e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989649903525112 y1[1] (numeric) = 1.989649903525111 absolute error = 2.220446049250313e-16 relative error = 1.115998370022934e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 0.8555075702894736 y2[1] (numeric) = 0.855507570289473 absolute error = 5.551115123125783e-16 relative error = 6.48868030618067e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989505905872395 y1[1] (numeric) = 1.989505905872395 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 0.8545181367947277 y2[1] (numeric) = 0.8545181367947271 absolute error = 5.551115123125783e-16 relative error = 6.496193449969186e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989360918713855 y1[1] (numeric) = 1.989360918713855 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 0.8535288487818328 y2[1] (numeric) = 0.8535288487818322 absolute error = 5.551115123125783e-16 relative error = 6.503722904092116e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989214942194478 y1[1] (numeric) = 1.989214942194478 absolute error = 2.220446049250313e-16 relative error = 1.116242393997274e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 0.852539707240077 y2[1] (numeric) = 0.8525397072400764 absolute error = 5.551115123125783e-16 relative error = 6.511268713918772e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.989067976460242 y1[1] (numeric) = 1.989067976460242 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 0.8515507131586016 y2[1] (numeric) = 0.8515507131586011 absolute error = 5.551115123125783e-16 relative error = 6.518830924978494e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.988920021658112 y1[1] (numeric) = 1.988920021658112 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 0.8505618675264007 y2[1] (numeric) = 0.8505618675264002 absolute error = 5.551115123125783e-16 relative error = 6.526409582961325e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.988771077936042 y1[1] (numeric) = 1.988771077936042 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1510000000000001 y2[1] (analytic) = 0.8495731713323199 y2[1] (numeric) = 0.8495731713323194 absolute error = 5.551115123125783e-16 relative error = 6.534004733718696e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.988621145442977 y1[1] (numeric) = 1.988621145442977 absolute error = 2.220446049250313e-16 relative error = 1.116575700876245e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1520000000000001 y2[1] (analytic) = 0.8485846255650551 y2[1] (numeric) = 0.8485846255650547 absolute error = 4.440892098500626e-16 relative error = 5.233293138611282e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.988470224328849 y1[1] (numeric) = 1.988470224328849 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1530000000000001 y2[1] (analytic) = 0.8475962312131522 y2[1] (numeric) = 0.8475962312131518 absolute error = 4.440892098500626e-16 relative error = 5.23939575821903e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.988318314744579 y1[1] (numeric) = 1.988318314744579 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1540000000000001 y2[1] (analytic) = 0.8466079892650054 y2[1] (numeric) = 0.8466079892650049 absolute error = 4.440892098500626e-16 relative error = 5.245511682869954e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.988165416842077 y1[1] (numeric) = 1.988165416842077 absolute error = 2.220446049250313e-16 relative error = 1.116831643102002e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1550000000000001 y2[1] (analytic) = 0.8456199007088565 y2[1] (numeric) = 0.8456199007088561 absolute error = 4.440892098500626e-16 relative error = 5.251640949767107e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.98801153077424 y1[1] (numeric) = 1.98801153077424 absolute error = 2.220446049250313e-16 relative error = 1.116918093722299e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1560000000000001 y2[1] (analytic) = 0.844631966532794 y2[1] (numeric) = 0.8446319665327936 absolute error = 4.440892098500626e-16 relative error = 5.25778359624541e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.987856656694954 y1[1] (numeric) = 1.987856656694954 absolute error = 2.220446049250313e-16 relative error = 1.117005112904904e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1570000000000001 y2[1] (analytic) = 0.8436441877247521 y2[1] (numeric) = 0.8436441877247517 absolute error = 4.440892098500626e-16 relative error = 5.2639396597722e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.987700794759095 y1[1] (numeric) = 1.987700794759095 absolute error = 2.220446049250313e-16 relative error = 1.117092700825441e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1580000000000001 y2[1] (analytic) = 0.8426565652725094 y2[1] (numeric) = 0.842656565272509 absolute error = 4.440892098500626e-16 relative error = 5.270109177947806e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.987543945122523 y1[1] (numeric) = 1.987543945122522 absolute error = 2.220446049250313e-16 relative error = 1.117180857660701e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1590000000000001 y2[1] (analytic) = 0.8416691001636885 y2[1] (numeric) = 0.8416691001636879 absolute error = 5.551115123125783e-16 relative error = 6.595365235632622e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.987386107942088 y1[1] (numeric) = 1.987386107942087 absolute error = 2.220446049250313e-16 relative error = 1.117269583588645e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1600000000000001 y2[1] (analytic) = 0.840681793385754 y2[1] (numeric) = 0.8406817933857534 absolute error = 5.551115123125783e-16 relative error = 6.603110911643837e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.987227283375627 y1[1] (numeric) = 1.987227283375627 absolute error = 4.440892098500626e-16 relative error = 2.234717757576804e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1610000000000001 y2[1] (analytic) = 0.8396946459260128 y2[1] (numeric) = 0.8396946459260124 absolute error = 4.440892098500626e-16 relative error = 5.2886988383774e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.987067471581965 y1[1] (numeric) = 1.987067471581965 absolute error = 4.440892098500626e-16 relative error = 2.234897486880552e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1620000000000001 y2[1] (analytic) = 0.8387076587716126 y2[1] (numeric) = 0.838707658771612 absolute error = 5.551115123125783e-16 relative error = 6.61865319228878e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.986906672720914 y1[1] (numeric) = 1.986906672720914 absolute error = 4.440892098500626e-16 relative error = 2.235078355451477e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1630000000000001 y2[1] (analytic) = 0.8377208329095399 y2[1] (numeric) = 0.8377208329095395 absolute error = 4.440892098500626e-16 relative error = 5.301159913949722e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.986744886953272 y1[1] (numeric) = 1.986744886953272 absolute error = 2.220446049250313e-16 relative error = 1.117630181827435e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1640000000000001 y2[1] (analytic) = 0.8367341693266209 y2[1] (numeric) = 0.8367341693266205 absolute error = 4.440892098500626e-16 relative error = 5.307410957143684e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.986582114440826 y1[1] (numeric) = 1.986582114440826 absolute error = 2.220446049250313e-16 relative error = 1.117721755929185e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1650000000000001 y2[1] (analytic) = 0.835747669009519 y2[1] (numeric) = 0.8357476690095186 absolute error = 4.440892098500626e-16 relative error = 5.3136757219601e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.986418355346348 y1[1] (numeric) = 1.986418355346347 absolute error = 2.220446049250313e-16 relative error = 1.11781390021598e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1660000000000001 y2[1] (analytic) = 0.8347613329447343 y2[1] (numeric) = 0.834761332944734 absolute error = 3.33066907387547e-16 relative error = 3.989965685312808e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.986253609833596 y1[1] (numeric) = 1.986253609833596 absolute error = 2.220446049250313e-16 relative error = 1.117906614873987e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1670000000000001 y2[1] (analytic) = 0.8337751621186029 y2[1] (numeric) = 0.8337751621186026 absolute error = 3.33066907387547e-16 relative error = 3.994684928503169e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.986087878067317 y1[1] (numeric) = 1.986087878067317 absolute error = 2.220446049250313e-16 relative error = 1.11799990009055e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1680000000000001 y2[1] (analytic) = 0.8327891575172957 y2[1] (numeric) = 0.8327891575172952 absolute error = 4.440892098500626e-16 relative error = 5.332552733683251e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.985921160213242 y1[1] (numeric) = 1.985921160213241 absolute error = 2.220446049250313e-16 relative error = 1.118093756054187e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1690000000000001 y2[1] (analytic) = 0.8318033201268169 y2[1] (numeric) = 0.8318033201268165 absolute error = 4.440892098500626e-16 relative error = 5.33887277322188e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.985753456438088 y1[1] (numeric) = 1.985753456438088 absolute error = 2.220446049250313e-16 relative error = 1.118188182954595e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1700000000000001 y2[1] (analytic) = 0.830817650933004 y2[1] (numeric) = 0.8308176509330035 absolute error = 4.440892098500626e-16 relative error = 5.345206729194459e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.985584766909561 y1[1] (numeric) = 1.985584766909561 absolute error = 2.220446049250313e-16 relative error = 1.118283180982648e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1710000000000001 y2[1] (analytic) = 0.829832150921526 y2[1] (numeric) = 0.8298321509215256 absolute error = 3.33066907387547e-16 relative error = 4.013665980736914e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.985415091796348 y1[1] (numeric) = 1.985415091796348 absolute error = 2.220446049250313e-16 relative error = 1.118378750330398e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1720000000000001 y2[1] (analytic) = 0.8288468210778829 y2[1] (numeric) = 0.8288468210778825 absolute error = 3.33066907387547e-16 relative error = 4.018437411081657e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.985244431268126 y1[1] (numeric) = 1.985244431268126 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1730000000000001 y2[1] (analytic) = 0.8278616623874046 y2[1] (numeric) = 0.8278616623874041 absolute error = 4.440892098500626e-16 relative error = 5.36429249023791e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.985072785495555 y1[1] (numeric) = 1.985072785495555 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1740000000000001 y2[1] (analytic) = 0.8268766758352494 y2[1] (numeric) = 0.8268766758352489 absolute error = 4.440892098500626e-16 relative error = 5.370682507176499e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.984900154650281 y1[1] (numeric) = 1.984900154650281 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1750000000000001 y2[1] (analytic) = 0.825891862406404 y2[1] (numeric) = 0.8258918624064036 absolute error = 4.440892098500626e-16 relative error = 5.377086638874469e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.984726538904934 y1[1] (numeric) = 1.984726538904934 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1760000000000001 y2[1] (analytic) = 0.8249072230856817 y2[1] (numeric) = 0.8249072230856812 absolute error = 4.440892098500626e-16 relative error = 5.383504925425242e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.984551938433129 y1[1] (numeric) = 1.98455193843313 absolute error = 2.220446049250313e-16 relative error = 1.11886517366909e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1770000000000001 y2[1] (analytic) = 0.8239227588577217 y2[1] (numeric) = 0.8239227588577213 absolute error = 4.440892098500626e-16 relative error = 5.389937407066452e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.984376353409469 y1[1] (numeric) = 1.984376353409469 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1780000000000001 y2[1] (analytic) = 0.8229384707069881 y2[1] (numeric) = 0.8229384707069878 absolute error = 3.33066907387547e-16 relative error = 4.047288093135426e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.984199784009537 y1[1] (numeric) = 1.984199784009537 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1790000000000001 y2[1] (analytic) = 0.8219543596177692 y2[1] (numeric) = 0.8219543596177687 absolute error = 4.440892098500626e-16 relative error = 5.402845117295515e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.984022230409904 y1[1] (numeric) = 1.984022230409904 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1800000000000001 y2[1] (analytic) = 0.8209704265741757 y2[1] (numeric) = 0.8209704265741753 absolute error = 4.440892098500626e-16 relative error = 5.409320427085306e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.983843692788121 y1[1] (numeric) = 1.983843692788121 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1810000000000001 y2[1] (analytic) = 0.8199866725601408 y2[1] (numeric) = 0.8199866725601404 absolute error = 4.440892098500626e-16 relative error = 5.415810094370668e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.983664171322729 y1[1] (numeric) = 1.983664171322728 absolute error = 2.220446049250313e-16 relative error = 1.119365909487439e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1820000000000001 y2[1] (analytic) = 0.8190030985594183 y2[1] (numeric) = 0.8190030985594179 absolute error = 4.440892098500626e-16 relative error = 5.422314160119678e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.983483666193246 y1[1] (numeric) = 1.983483666193246 absolute error = 2.220446049250313e-16 relative error = 1.119467776365334e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1830000000000001 y2[1] (analytic) = 0.8180197055555822 y2[1] (numeric) = 0.8180197055555818 absolute error = 4.440892098500626e-16 relative error = 5.428832665448399e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.98330217758018 y1[1] (numeric) = 1.983302177580179 absolute error = 2.220446049250313e-16 relative error = 1.119570216959814e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1840000000000001 y2[1] (analytic) = 0.8170364945320253 y2[1] (numeric) = 0.817036494532025 absolute error = 3.33066907387547e-16 relative error = 4.076524238716142e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.983119705665017 y1[1] (numeric) = 1.983119705665017 absolute error = 2.220446049250313e-16 relative error = 1.119673231478334e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1850000000000001 y2[1] (analytic) = 0.8160534664719588 y2[1] (numeric) = 0.8160534664719583 absolute error = 4.440892098500626e-16 relative error = 5.441913160053005e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.982936250630231 y1[1] (numeric) = 1.982936250630231 absolute error = 2.220446049250313e-16 relative error = 1.11977682012954e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1860000000000001 y2[1] (analytic) = 0.8150706223584103 y2[1] (numeric) = 0.8150706223584099 absolute error = 4.440892098500626e-16 relative error = 5.448475232306724e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.982751812659277 y1[1] (numeric) = 1.982751812659277 absolute error = 2.220446049250313e-16 relative error = 1.119880983123268e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1870000000000001 y2[1] (analytic) = 0.814087963174224 y2[1] (numeric) = 0.8140879631742237 absolute error = 3.33066907387547e-16 relative error = 4.091288932572841e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.982566391936591 y1[1] (numeric) = 1.982566391936591 absolute error = 2.220446049250313e-16 relative error = 1.119985720670549e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1880000000000001 y2[1] (analytic) = 0.8131054899020592 y2[1] (numeric) = 0.8131054899020589 absolute error = 3.33066907387547e-16 relative error = 4.096232426467392e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.982379988647596 y1[1] (numeric) = 1.982379988647596 absolute error = 2.220446049250313e-16 relative error = 1.120091032983605e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1890000000000001 y2[1] (analytic) = 0.8121232035243888 y2[1] (numeric) = 0.8121232035243885 absolute error = 3.33066907387547e-16 relative error = 4.101186937426849e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.982192602978694 y1[1] (numeric) = 1.982192602978693 absolute error = 2.220446049250313e-16 relative error = 1.120196920275855e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1900000000000001 y2[1] (analytic) = 0.8111411050234993 y2[1] (numeric) = 0.811141105023499 absolute error = 3.33066907387547e-16 relative error = 4.106152497078764e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.98200423511727 y1[1] (numeric) = 1.98200423511727 absolute error = 2.220446049250313e-16 relative error = 1.120303382761912e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1910000000000001 y2[1] (analytic) = 0.8101591953814891 y2[1] (numeric) = 0.8101591953814887 absolute error = 3.33066907387547e-16 relative error = 4.11112913716559e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.981814885251694 y1[1] (numeric) = 1.981814885251693 absolute error = 4.440892098500626e-16 relative error = 2.240820841315169e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1920000000000001 y2[1] (analytic) = 0.8091774755802675 y2[1] (numeric) = 0.8091774755802672 absolute error = 3.33066907387547e-16 relative error = 4.116116889545177e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.981624553571314 y1[1] (numeric) = 1.981624553571313 absolute error = 4.440892098500626e-16 relative error = 2.241036068359763e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1930000000000001 y2[1] (analytic) = 0.8081959466015546 y2[1] (numeric) = 0.8081959466015542 absolute error = 3.33066907387547e-16 relative error = 4.121115786191278e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.981433240266462 y1[1] (numeric) = 1.981433240266461 absolute error = 4.440892098500626e-16 relative error = 2.241252447094013e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1940000000000001 y2[1] (analytic) = 0.8072146094268791 y2[1] (numeric) = 0.8072146094268787 absolute error = 3.33066907387547e-16 relative error = 4.126125859194049e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.981240945528451 y1[1] (numeric) = 1.981240945528451 absolute error = 6.661338147750939e-16 relative error = 3.362204966935093e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1950000000000001 y2[1] (analytic) = 0.806233465037578 y2[1] (numeric) = 0.8062334650375776 absolute error = 3.33066907387547e-16 relative error = 4.131147140760561e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.981047669549577 y1[1] (numeric) = 1.981047669549577 absolute error = 6.661338147750939e-16 relative error = 3.362532992083679e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1960000000000001 y2[1] (analytic) = 0.8052525144147957 y2[1] (numeric) = 0.8052525144147954 absolute error = 3.33066907387547e-16 relative error = 4.136179663215308e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.980853412523115 y1[1] (numeric) = 1.980853412523115 absolute error = 6.661338147750939e-16 relative error = 3.362862746752193e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1970000000000001 y2[1] (analytic) = 0.8042717585394829 y2[1] (numeric) = 0.8042717585394825 absolute error = 3.33066907387547e-16 relative error = 4.141223459000721e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.980658174643323 y1[1] (numeric) = 1.980658174643322 absolute error = 6.661338147750939e-16 relative error = 3.363194231609659e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1980000000000001 y2[1] (analytic) = 0.8032911983923952 y2[1] (numeric) = 0.8032911983923948 absolute error = 3.33066907387547e-16 relative error = 4.146278560677681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.980461956105437 y1[1] (numeric) = 1.980461956105436 absolute error = 6.661338147750939e-16 relative error = 3.363527447328707e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1990000000000001 y2[1] (analytic) = 0.8023108349540926 y2[1] (numeric) = 0.8023108349540923 absolute error = 3.33066907387547e-16 relative error = 4.15134500092604e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.980264757105677 y1[1] (numeric) = 1.980264757105676 absolute error = 6.661338147750939e-16 relative error = 3.363862394585582e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2000000000000001 y2[1] (analytic) = 0.8013306692049387 y2[1] (numeric) = 0.8013306692049383 absolute error = 3.33066907387547e-16 relative error = 4.156422812545139e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.980066577841242 y1[1] (numeric) = 1.980066577841241 absolute error = 6.661338147750939e-16 relative error = 3.364199074060142e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2010000000000001 y2[1] (analytic) = 0.800350702125099 y2[1] (numeric) = 0.8003507021250986 absolute error = 3.33066907387547e-16 relative error = 4.161512028454332e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.97986741851031 y1[1] (numeric) = 1.979867418510309 absolute error = 6.661338147750939e-16 relative error = 3.364537486435863e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2020000000000001 y2[1] (analytic) = 0.7993709346945406 y2[1] (numeric) = 0.7993709346945401 absolute error = 4.440892098500626e-16 relative error = 5.555483575591351e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.979667279312042 y1[1] (numeric) = 1.979667279312041 absolute error = 6.661338147750939e-16 relative error = 3.364877632399842e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2030000000000001 y2[1] (analytic) = 0.7983913678930307 y2[1] (numeric) = 0.7983913678930302 absolute error = 4.440892098500626e-16 relative error = 5.562299740564858e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.979466160446576 y1[1] (numeric) = 1.979466160446575 absolute error = 6.661338147750939e-16 relative error = 3.3652195126428e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2040000000000001 y2[1] (analytic) = 0.7974120027001361 y2[1] (numeric) = 0.7974120027001357 absolute error = 4.440892098500626e-16 relative error = 5.569131243903044e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.979264062115031 y1[1] (numeric) = 1.97926406211503 absolute error = 6.661338147750939e-16 relative error = 3.365563127859084e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2050000000000001 y2[1] (analytic) = 0.796432840095222 y2[1] (numeric) = 0.7964328400952215 absolute error = 4.440892098500626e-16 relative error = 5.575978130145501e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.979060984519505 y1[1] (numeric) = 1.979060984519504 absolute error = 6.661338147750939e-16 relative error = 3.365908478746672e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2060000000000001 y2[1] (analytic) = 0.7954538810574507 y2[1] (numeric) = 0.7954538810574503 absolute error = 4.440892098500626e-16 relative error = 5.58284044399538e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.978856927863077 y1[1] (numeric) = 1.978856927863076 absolute error = 6.661338147750939e-16 relative error = 3.366255566007174e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2070000000000001 y2[1] (analytic) = 0.7944751265657813 y2[1] (numeric) = 0.794475126565781 absolute error = 3.33066907387547e-16 relative error = 4.192288672740084e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.978651892349802 y1[1] (numeric) = 1.978651892349801 absolute error = 6.661338147750939e-16 relative error = 3.366604390345836e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2080000000000001 y2[1] (analytic) = 0.7934965775989684 y2[1] (numeric) = 0.793496577598968 absolute error = 4.440892098500626e-16 relative error = 5.596611534152129e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.978445878184717 y1[1] (numeric) = 1.978445878184716 absolute error = 6.661338147750939e-16 relative error = 3.366954952471542e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2090000000000001 y2[1] (analytic) = 0.7925182351355605 y2[1] (numeric) = 0.7925182351355602 absolute error = 3.33066907387547e-16 relative error = 4.202640300517196e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.978238885573834 y1[1] (numeric) = 1.978238885573834 absolute error = 6.661338147750939e-16 relative error = 3.367307253096818e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2100000000000001 y2[1] (analytic) = 0.7915401001539003 y2[1] (numeric) = 0.7915401001539 absolute error = 3.33066907387547e-16 relative error = 4.207833656472847e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.978030914724148 y1[1] (numeric) = 1.978030914724147 absolute error = 6.661338147750939e-16 relative error = 3.367661292937838e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2110000000000001 y2[1] (analytic) = 0.7905621736321226 y2[1] (numeric) = 0.7905621736321222 absolute error = 3.33066907387547e-16 relative error = 4.213038752629912e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.977821965843629 y1[1] (numeric) = 1.977821965843628 absolute error = 8.881784197001252e-16 relative error = 4.490689430285893e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2120000000000001 y2[1] (analytic) = 0.7895844565481537 y2[1] (numeric) = 0.7895844565481533 absolute error = 3.33066907387547e-16 relative error = 4.218255623263203e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.977612039141225 y1[1] (numeric) = 1.977612039141224 absolute error = 8.881784197001252e-16 relative error = 4.491166124200049e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2130000000000001 y2[1] (analytic) = 0.7886069498797108 y2[1] (numeric) = 0.7886069498797104 absolute error = 4.440892098500626e-16 relative error = 5.631312403698715e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.977401134826864 y1[1] (numeric) = 1.977401134826863 absolute error = 8.881784197001252e-16 relative error = 4.491645139962418e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2140000000000001 y2[1] (analytic) = 0.7876296546043003 y2[1] (numeric) = 0.7876296546042999 absolute error = 4.440892098500626e-16 relative error = 5.638299767587724e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.977189253111449 y1[1] (numeric) = 1.977189253111448 absolute error = 8.881784197001252e-16 relative error = 4.492126478547378e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2150000000000001 y2[1] (analytic) = 0.7866525716992177 y2[1] (numeric) = 0.7866525716992172 absolute error = 4.440892098500626e-16 relative error = 5.645302968892643e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.976976394206862 y1[1] (numeric) = 1.976976394206861 absolute error = 8.881784197001252e-16 relative error = 4.492610140934187e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2160000000000001 y2[1] (analytic) = 0.7856757021415454 y2[1] (numeric) = 0.785675702141545 absolute error = 3.33066907387547e-16 relative error = 4.239241540494305e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.976762558325963 y1[1] (numeric) = 1.976762558325962 absolute error = 8.881784197001252e-16 relative error = 4.49309612810699e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2170000000000001 y2[1] (analytic) = 0.7846990469081532 y2[1] (numeric) = 0.7846990469081528 absolute error = 3.33066907387547e-16 relative error = 4.244517802078221e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.976547745682587 y1[1] (numeric) = 1.976547745682586 absolute error = 8.881784197001252e-16 relative error = 4.493584441054821e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2180000000000001 y2[1] (analytic) = 0.7837226069756961 y2[1] (numeric) = 0.7837226069756957 absolute error = 3.33066907387547e-16 relative error = 4.249806046463525e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.976331956491546 y1[1] (numeric) = 1.976331956491545 absolute error = 1.110223024625157e-15 relative error = 5.617593850964507e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2190000000000001 y2[1] (analytic) = 0.7827463833206141 y2[1] (numeric) = 0.7827463833206136 absolute error = 4.440892098500626e-16 relative error = 5.67347507842988e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.976115190968631 y1[1] (numeric) = 1.97611519096863 absolute error = 1.110223024625157e-15 relative error = 5.618210060320216e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2200000000000001 y2[1] (analytic) = 0.7817703769191305 y2[1] (numeric) = 0.7817703769191302 absolute error = 3.33066907387547e-16 relative error = 4.260418624457559e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.975897449330605 y1[1] (numeric) = 1.975897449330604 absolute error = 1.110223024625157e-15 relative error = 5.61882918064031e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2210000000000001 y2[1] (analytic) = 0.7807945887472519 y2[1] (numeric) = 0.7807945887472516 absolute error = 3.33066907387547e-16 relative error = 4.265743028802711e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.975678731795212 y1[1] (numeric) = 1.975678731795211 absolute error = 1.332267629550188e-15 relative error = 6.743341455822703e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2220000000000001 y2[1] (analytic) = 0.7798190197807664 y2[1] (numeric) = 0.779819019780766 absolute error = 4.440892098500626e-16 relative error = 5.694772743231002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.975459038581168 y1[1] (numeric) = 1.975459038581167 absolute error = 1.110223024625157e-15 relative error = 5.620076159222976e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2230000000000001 y2[1] (analytic) = 0.7788436709952427 y2[1] (numeric) = 0.7788436709952422 absolute error = 4.440892098500626e-16 relative error = 5.701904328022397e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.975238369908167 y1[1] (numeric) = 1.975238369908166 absolute error = 1.332267629550188e-15 relative error = 6.744844824030669e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2240000000000001 y2[1] (analytic) = 0.7778685433660295 y2[1] (numeric) = 0.7778685433660291 absolute error = 4.440892098500626e-16 relative error = 5.709052173885048e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.975016725996878 y1[1] (numeric) = 1.975016725996876 absolute error = 1.110223024625157e-15 relative error = 5.621334796872559e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2250000000000001 y2[1] (analytic) = 0.7768936378682544 y2[1] (numeric) = 0.7768936378682541 absolute error = 3.33066907387547e-16 relative error = 4.287162246578063e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.974794107068943 y1[1] (numeric) = 1.974794107068942 absolute error = 1.110223024625157e-15 relative error = 5.621968491049365e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2260000000000001 y2[1] (analytic) = 0.775918955476823 y2[1] (numeric) = 0.7759189554768225 absolute error = 4.440892098500626e-16 relative error = 5.723396840809978e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.974570513346983 y1[1] (numeric) = 1.974570513346982 absolute error = 1.332267629550188e-15 relative error = 6.747126124617024e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2270000000000001 y2[1] (analytic) = 0.7749444971664173 y2[1] (numeric) = 0.7749444971664169 absolute error = 4.440892098500626e-16 relative error = 5.730593758312675e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.974345945054591 y1[1] (numeric) = 1.974345945054589 absolute error = 1.332267629550188e-15 relative error = 6.747893563877685e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2280000000000001 y2[1] (analytic) = 0.7739702639114957 y2[1] (numeric) = 0.7739702639114954 absolute error = 3.33066907387547e-16 relative error = 4.3033553473268e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.974120402416334 y1[1] (numeric) = 1.974120402416333 absolute error = 1.332267629550188e-15 relative error = 6.748664508605883e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2290000000000001 y2[1] (analytic) = 0.7729962566862915 y2[1] (numeric) = 0.772996256686291 absolute error = 4.440892098500626e-16 relative error = 5.745037003850451e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.973893885657757 y1[1] (numeric) = 1.973893885657755 absolute error = 1.332267629550188e-15 relative error = 6.749438960373693e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2300000000000001 y2[1] (analytic) = 0.7720224764648115 y2[1] (numeric) = 0.7720224764648111 absolute error = 3.33066907387547e-16 relative error = 4.314212572057519e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.973666395005375 y1[1] (numeric) = 1.973666395005373 absolute error = 1.332267629550188e-15 relative error = 6.750216920760612e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2310000000000001 y2[1] (analytic) = 0.7710489242208362 y2[1] (numeric) = 0.7710489242208358 absolute error = 3.33066907387547e-16 relative error = 4.319659841612764e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.973437930686679 y1[1] (numeric) = 1.973437930686678 absolute error = 1.332267629550188e-15 relative error = 6.750998391353565e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2320000000000001 y2[1] (analytic) = 0.7700756009279174 y2[1] (numeric) = 0.7700756009279172 absolute error = 2.220446049250313e-16 relative error = 2.88341306564543e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.973208492930133 y1[1] (numeric) = 1.973208492930132 absolute error = 1.332267629550188e-15 relative error = 6.751783373746913e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2330000000000001 y2[1] (analytic) = 0.7691025075593787 y2[1] (numeric) = 0.7691025075593784 absolute error = 3.33066907387547e-16 relative error = 4.330591879676487e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.972978081965176 y1[1] (numeric) = 1.972978081965175 absolute error = 1.554312234475219e-15 relative error = 7.878000514466198e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2340000000000001 y2[1] (analytic) = 0.7681296450883131 y2[1] (numeric) = 0.7681296450883128 absolute error = 2.220446049250313e-16 relative error = 2.890717814953002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.972746698022218 y1[1] (numeric) = 1.972746698022217 absolute error = 1.554312234475219e-15 relative error = 7.87892452707435e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2350000000000001 y2[1] (analytic) = 0.7671570144875831 y2[1] (numeric) = 0.7671570144875829 absolute error = 2.220446049250313e-16 relative error = 2.894382776038936e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.972514341332643 y1[1] (numeric) = 1.972514341332641 absolute error = 1.554312234475219e-15 relative error = 7.879852642415346e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2360000000000001 y2[1] (analytic) = 0.7661846167298192 y2[1] (numeric) = 0.766184616729819 absolute error = 2.220446049250313e-16 relative error = 2.898056161356359e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.972281012128808 y1[1] (numeric) = 1.972281012128806 absolute error = 1.77635683940025e-15 relative error = 9.006611271296052e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2370000000000001 y2[1] (analytic) = 0.7652124527874191 y2[1] (numeric) = 0.7652124527874189 absolute error = 2.220446049250313e-16 relative error = 2.901737995980009e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.972046710644041 y1[1] (numeric) = 1.972046710644039 absolute error = 1.77635683940025e-15 relative error = 9.007681358724605e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2380000000000001 y2[1] (analytic) = 0.7642405236325467 y2[1] (numeric) = 0.7642405236325465 absolute error = 2.220446049250313e-16 relative error = 2.90542830507889e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.971811437112645 y1[1] (numeric) = 1.971811437112643 absolute error = 1.77635683940025e-15 relative error = 9.008756141517255e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2390000000000001 y2[1] (analytic) = 0.763268830237131 y2[1] (numeric) = 0.7632688302371308 absolute error = 2.220446049250313e-16 relative error = 2.90912711391669e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.971575191769893 y1[1] (numeric) = 1.971575191769891 absolute error = 1.77635683940025e-15 relative error = 9.009835621869467e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2400000000000001 y2[1] (analytic) = 0.7622973735728653 y2[1] (numeric) = 0.7622973735728651 absolute error = 2.220446049250313e-16 relative error = 2.912834447852218e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.97133797485203 y1[1] (numeric) = 1.971337974852028 absolute error = 1.77635683940025e-15 relative error = 9.010919801986695e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2410000000000001 y2[1] (analytic) = 0.7613261546112062 y2[1] (numeric) = 0.761326154611206 absolute error = 2.220446049250313e-16 relative error = 2.916550332339823e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.971099786596272 y1[1] (numeric) = 1.971099786596271 absolute error = 1.554312234475219e-15 relative error = 7.885507598573845e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2420000000000001 y2[1] (analytic) = 0.7603551743233726 y2[1] (numeric) = 0.7603551743233724 absolute error = 2.220446049250313e-16 relative error = 2.920274792929832e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.97086062724081 y1[1] (numeric) = 1.970860627240808 absolute error = 1.77635683940025e-15 relative error = 9.013102270388021e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2430000000000001 y2[1] (analytic) = 0.7593844336803448 y2[1] (numeric) = 0.7593844336803446 absolute error = 2.220446049250313e-16 relative error = 2.924007855268979e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.970620497024801 y1[1] (numeric) = 1.970620497024799 absolute error = 1.554312234475219e-15 relative error = 7.887425492741425e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2440000000000001 y2[1] (analytic) = 0.7584139336528632 y2[1] (numeric) = 0.758413933652863 absolute error = 2.220446049250313e-16 relative error = 2.927749545100845e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.970379396188376 y1[1] (numeric) = 1.970379396188374 absolute error = 1.554312234475219e-15 relative error = 7.888390618994379e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2450000000000001 y2[1] (analytic) = 0.7574436752114279 y2[1] (numeric) = 0.7574436752114276 absolute error = 2.220446049250313e-16 relative error = 2.931499888266295e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.970137324972635 y1[1] (numeric) = 1.970137324972634 absolute error = 1.554312234475219e-15 relative error = 7.88935986732198e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2460000000000001 y2[1] (analytic) = 0.7564736593262971 y2[1] (numeric) = 0.7564736593262968 absolute error = 2.220446049250313e-16 relative error = 2.935258910703918e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.969894283619651 y1[1] (numeric) = 1.969894283619649 absolute error = 1.554312234475219e-15 relative error = 7.890333239706621e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2470000000000001 y2[1] (analytic) = 0.7555038869674866 y2[1] (numeric) = 0.7555038869674864 absolute error = 2.220446049250313e-16 relative error = 2.939026638450466e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.969650272372463 y1[1] (numeric) = 1.969650272372462 absolute error = 1.554312234475219e-15 relative error = 7.89131073813949e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2480000000000001 y2[1] (analytic) = 0.7545343591047688 y2[1] (numeric) = 0.7545343591047686 absolute error = 2.220446049250313e-16 relative error = 2.942803097641309e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.969405291475084 y1[1] (numeric) = 1.969405291475083 absolute error = 1.554312234475219e-15 relative error = 7.892292364620588e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2490000000000001 y2[1] (analytic) = 0.7535650767076715 y2[1] (numeric) = 0.7535650767076713 absolute error = 2.220446049250313e-16 relative error = 2.946588314510871e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.969159341172495 y1[1] (numeric) = 1.969159341172493 absolute error = 1.554312234475219e-15 relative error = 7.89327812115873e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2500000000000001 y2[1] (analytic) = 0.7525960407454769 y2[1] (numeric) = 0.7525960407454767 absolute error = 2.220446049250313e-16 relative error = 2.950382315393091e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.968912421710645 y1[1] (numeric) = 1.968912421710643 absolute error = 1.554312234475219e-15 relative error = 7.894268009771558e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2510000000000001 y2[1] (analytic) = 0.751627252187221 y2[1] (numeric) = 0.7516272521872208 absolute error = 2.220446049250313e-16 relative error = 2.954185126721866e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.968664533336454 y1[1] (numeric) = 1.968664533336452 absolute error = 1.332267629550188e-15 relative error = 6.767367456416188e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2520000000000001 y2[1] (analytic) = 0.7506587120016922 y2[1] (numeric) = 0.750658712001692 absolute error = 2.220446049250313e-16 relative error = 2.957996775031511e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.96841567629781 y1[1] (numeric) = 1.968415676297809 absolute error = 1.332267629550188e-15 relative error = 6.768223021145171e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2530000000000001 y2[1] (analytic) = 0.7496904211574306 y2[1] (numeric) = 0.7496904211574303 absolute error = 2.220446049250313e-16 relative error = 2.961817286957215e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.968165850843571 y1[1] (numeric) = 1.96816585084357 absolute error = 1.332267629550188e-15 relative error = 6.769082132886148e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2540000000000001 y2[1] (analytic) = 0.748722380622727 y2[1] (numeric) = 0.7487223806227268 absolute error = 2.220446049250313e-16 relative error = 2.965646689235501e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.967915057223562 y1[1] (numeric) = 1.96791505722356 absolute error = 1.332267629550188e-15 relative error = 6.769944793398864e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2550000000000001 y2[1] (analytic) = 0.7477545913656218 y2[1] (numeric) = 0.7477545913656216 absolute error = 2.220446049250313e-16 relative error = 2.969485008704687e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.967663295688576 y1[1] (numeric) = 1.967663295688574 absolute error = 1.332267629550188e-15 relative error = 6.770811004450669e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2560000000000001 y2[1] (analytic) = 0.7467870543539042 y2[1] (numeric) = 0.746787054353904 absolute error = 2.220446049250313e-16 relative error = 2.97333227230535e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.967410566490374 y1[1] (numeric) = 1.967410566490373 absolute error = 1.332267629550188e-15 relative error = 6.771680767816522e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2570000000000001 y2[1] (analytic) = 0.7458197705551113 y2[1] (numeric) = 0.7458197705551111 absolute error = 2.220446049250313e-16 relative error = 2.977188507080796e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.967156869881688 y1[1] (numeric) = 1.967156869881686 absolute error = 1.332267629550188e-15 relative error = 6.772554085279002e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2580000000000001 y2[1] (analytic) = 0.7448527409365265 y2[1] (numeric) = 0.7448527409365263 absolute error = 2.220446049250313e-16 relative error = 2.981053740177525e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.966902206116212 y1[1] (numeric) = 1.96690220611621 absolute error = 1.332267629550188e-15 relative error = 6.773430958628315e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2590000000000001 y2[1] (analytic) = 0.7438859664651796 y2[1] (numeric) = 0.7438859664651793 absolute error = 2.220446049250313e-16 relative error = 2.984927998845707e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.96664657544861 y1[1] (numeric) = 1.966646575448608 absolute error = 1.332267629550188e-15 relative error = 6.774311389662301e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2600000000000001 y2[1] (analytic) = 0.7429194481078448 y2[1] (numeric) = 0.7429194481078446 absolute error = 2.220446049250313e-16 relative error = 2.988811310439655e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.966389978134513 y1[1] (numeric) = 1.966389978134512 absolute error = 1.332267629550188e-15 relative error = 6.775195380186445e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2610000000000001 y2[1] (analytic) = 0.7419531868310405 y2[1] (numeric) = 0.7419531868310403 absolute error = 2.220446049250313e-16 relative error = 2.992703702418302e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.966132414430519 y1[1] (numeric) = 1.966132414430518 absolute error = 1.332267629550188e-15 relative error = 6.776082932013879e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2620000000000001 y2[1] (analytic) = 0.7409871836010279 y2[1] (numeric) = 0.7409871836010277 absolute error = 2.220446049250313e-16 relative error = 2.996605202345679e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.965873884594191 y1[1] (numeric) = 1.96587388459419 absolute error = 1.110223024625157e-15 relative error = 5.647478372471164e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2630000000000001 y2[1] (analytic) = 0.74002143938381 y2[1] (numeric) = 0.7400214393838098 absolute error = 2.220446049250313e-16 relative error = 3.0005158378914e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.965614388884059 y1[1] (numeric) = 1.965614388884057 absolute error = 1.332267629550188e-15 relative error = 6.777868726869456e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2640000000000001 y2[1] (analytic) = 0.7390559551451312 y2[1] (numeric) = 0.739055955145131 absolute error = 2.220446049250313e-16 relative error = 3.004435636831146e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.965353927559618 y1[1] (numeric) = 1.965353927559617 absolute error = 1.110223024625157e-15 relative error = 5.648972477968493e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2650000000000001 y2[1] (analytic) = 0.7380907318504755 y2[1] (numeric) = 0.7380907318504752 absolute error = 2.220446049250313e-16 relative error = 3.008364627047149e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.96509250088133 y1[1] (numeric) = 1.965092500881329 absolute error = 1.110223024625157e-15 relative error = 5.649723990739516e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2660000000000001 y2[1] (analytic) = 0.737125770465066 y2[1] (numeric) = 0.7371257704650658 absolute error = 2.220446049250313e-16 relative error = 3.012302836528688e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.964830109110622 y1[1] (numeric) = 1.964830109110621 absolute error = 1.110223024625157e-15 relative error = 5.650478478913873e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2670000000000001 y2[1] (analytic) = 0.7361610719538643 y2[1] (numeric) = 0.7361610719538639 absolute error = 3.33066907387547e-16 relative error = 4.524375440058864e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.964566752509885 y1[1] (numeric) = 1.964566752509884 absolute error = 1.110223024625157e-15 relative error = 5.6512359440409e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2680000000000001 y2[1] (analytic) = 0.7351966372815685 y2[1] (numeric) = 0.7351966372815681 absolute error = 3.33066907387547e-16 relative error = 4.530310538675488e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.964302431342476 y1[1] (numeric) = 1.964302431342475 absolute error = 1.332267629550188e-15 relative error = 6.782395665211631e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2690000000000001 y2[1] (analytic) = 0.7342324674126134 y2[1] (numeric) = 0.7342324674126131 absolute error = 3.33066907387547e-16 relative error = 4.536259593112965e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.964037145872716 y1[1] (numeric) = 1.964037145872715 absolute error = 1.110223024625157e-15 relative error = 5.652759811382443e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2700000000000001 y2[1] (analytic) = 0.7332685633111687 y2[1] (numeric) = 0.7332685633111684 absolute error = 3.33066907387547e-16 relative error = 4.542222646004901e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.96377089636589 y1[1] (numeric) = 1.963770896365889 absolute error = 1.110223024625157e-15 relative error = 5.653526216727776e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2710000000000001 y2[1] (analytic) = 0.7323049259411386 y2[1] (numeric) = 0.7323049259411383 absolute error = 3.33066907387547e-16 relative error = 4.548199740149205e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.963503683088249 y1[1] (numeric) = 1.963503683088248 absolute error = 1.110223024625157e-15 relative error = 5.654295605287429e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2720000000000001 y2[1] (analytic) = 0.7313415562661602 y2[1] (numeric) = 0.7313415562661598 absolute error = 3.33066907387547e-16 relative error = 4.554190918508842e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.963235506307004 y1[1] (numeric) = 1.963235506307003 absolute error = 1.110223024625157e-15 relative error = 5.655067978642923e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2730000000000001 y2[1] (analytic) = 0.730378455249603 y2[1] (numeric) = 0.7303784552496028 absolute error = 2.220446049250313e-16 relative error = 3.040130816141732e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.962966366290334 y1[1] (numeric) = 1.962966366290333 absolute error = 1.332267629550188e-15 relative error = 6.78701200605868e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2740000000000001 y2[1] (analytic) = 0.7294156238545683 y2[1] (numeric) = 0.7294156238545679 absolute error = 3.33066907387547e-16 relative error = 4.56621570055585e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.962696263307377 y1[1] (numeric) = 1.962696263307376 absolute error = 1.332267629550188e-15 relative error = 6.787946023319766e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2750000000000001 y2[1] (analytic) = 0.728453063043887 y2[1] (numeric) = 0.7284530630438867 absolute error = 3.33066907387547e-16 relative error = 4.572249391001335e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.962425197628238 y1[1] (numeric) = 1.962425197628237 absolute error = 1.332267629550188e-15 relative error = 6.78888362807586e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2760000000000001 y2[1] (analytic) = 0.7274907737801202 y2[1] (numeric) = 0.7274907737801198 absolute error = 3.33066907387547e-16 relative error = 4.578297339179926e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.962153169523981 y1[1] (numeric) = 1.96215316952398 absolute error = 1.332267629550188e-15 relative error = 6.78982482225583e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2770000000000001 y2[1] (analytic) = 0.7265287570255567 y2[1] (numeric) = 0.7265287570255564 absolute error = 3.33066907387547e-16 relative error = 4.584359588891412e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.961880179266634 y1[1] (numeric) = 1.961880179266633 absolute error = 1.332267629550188e-15 relative error = 6.790769607796331e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2780000000000001 y2[1] (analytic) = 0.7255670137422136 y2[1] (numeric) = 0.7255670137422132 absolute error = 3.33066907387547e-16 relative error = 4.59043618410528e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.961606227129189 y1[1] (numeric) = 1.961606227129188 absolute error = 1.554312234475219e-15 relative error = 7.923670984415435e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2790000000000001 y2[1] (analytic) = 0.7246055448918338 y2[1] (numeric) = 0.7246055448918334 absolute error = 4.440892098500626e-16 relative error = 6.128702891948673e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.961331313385597 y1[1] (numeric) = 1.961331313385595 absolute error = 1.554312234475219e-15 relative error = 7.924781620868571e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2800000000000001 y2[1] (analytic) = 0.7236443514358861 y2[1] (numeric) = 0.7236443514358858 absolute error = 3.33066907387547e-16 relative error = 4.602632587771346e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.961055438310771 y1[1] (numeric) = 1.961055438310769 absolute error = 1.554312234475219e-15 relative error = 7.925896454075182e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2810000000000001 y2[1] (analytic) = 0.722683434335564 y2[1] (numeric) = 0.7226834343355637 absolute error = 3.33066907387547e-16 relative error = 4.608752485018133e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.960778602180587 y1[1] (numeric) = 1.960778602180586 absolute error = 1.332267629550188e-15 relative error = 6.794584702569528e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2820000000000001 y2[1] (analytic) = 0.7217227945517845 y2[1] (numeric) = 0.7217227945517841 absolute error = 3.33066907387547e-16 relative error = 4.61488690535808e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.960500805271881 y1[1] (numeric) = 1.96050080527188 absolute error = 1.332267629550188e-15 relative error = 6.795547474235441e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2830000000000001 y2[1] (analytic) = 0.7207624330451872 y2[1] (numeric) = 0.7207624330451868 absolute error = 3.33066907387547e-16 relative error = 4.621035893621079e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.96022204786245 y1[1] (numeric) = 1.960222047862448 absolute error = 1.554312234475219e-15 relative error = 7.929266157219993e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2840000000000001 y2[1] (analytic) = 0.7198023507761335 y2[1] (numeric) = 0.7198023507761332 absolute error = 3.33066907387547e-16 relative error = 4.62719949481152e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.95994233023105 y1[1] (numeric) = 1.959942330231049 absolute error = 1.332267629550188e-15 relative error = 6.797483828991702e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2850000000000001 y2[1] (analytic) = 0.7188425487047059 y2[1] (numeric) = 0.7188425487047054 absolute error = 4.440892098500626e-16 relative error = 6.177837005478796e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.959661652657401 y1[1] (numeric) = 1.9596616526574 absolute error = 1.554312234475219e-15 relative error = 7.931533652084749e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2860000000000001 y2[1] (analytic) = 0.717883027790706 y2[1] (numeric) = 0.7178830277907056 absolute error = 4.440892098500626e-16 relative error = 6.186094289159513e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.959380015422179 y1[1] (numeric) = 1.959380015422177 absolute error = 1.554312234475219e-15 relative error = 7.932673714344883e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2870000000000001 y2[1] (analytic) = 0.7169237889936548 y2[1] (numeric) = 0.7169237889936544 absolute error = 4.440892098500626e-16 relative error = 6.19437123816787e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.959097418807021 y1[1] (numeric) = 1.95909741880702 absolute error = 1.554312234475219e-15 relative error = 7.9338179896215e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2880000000000001 y2[1] (analytic) = 0.715964833272791 y2[1] (numeric) = 0.7159648332727906 absolute error = 4.440892098500626e-16 relative error = 6.202667913451266e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.958813863094525 y1[1] (numeric) = 1.958813863094523 absolute error = 1.77635683940025e-15 relative error = 9.068533120313791e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2890000000000001 y2[1] (analytic) = 0.7150061615870703 y2[1] (numeric) = 0.7150061615870699 absolute error = 4.440892098500626e-16 relative error = 6.210984376195244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.958529348568245 y1[1] (numeric) = 1.958529348568244 absolute error = 1.554312234475219e-15 relative error = 7.93611918867326e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2900000000000001 y2[1] (analytic) = 0.7140477748951644 y2[1] (numeric) = 0.7140477748951638 absolute error = 5.551115123125783e-16 relative error = 7.774150859780763e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.958243875512697 y1[1] (numeric) = 1.958243875512695 absolute error = 1.77635683940025e-15 relative error = 9.071172705366812e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2910000000000001 y2[1] (analytic) = 0.7130896741554595 y2[1] (numeric) = 0.7130896741554591 absolute error = 4.440892098500626e-16 relative error = 6.227676910004553e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.957957444213353 y1[1] (numeric) = 1.957957444213351 absolute error = 1.77635683940025e-15 relative error = 9.072499735120319e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2920000000000001 y2[1] (analytic) = 0.7121318603260568 y2[1] (numeric) = 0.7121318603260562 absolute error = 5.551115123125783e-16 relative error = 7.795066380802213e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.957670054956645 y1[1] (numeric) = 1.957670054956643 absolute error = 1.77635683940025e-15 relative error = 9.073831593340637e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2930000000000001 y2[1] (analytic) = 0.7111743343647696 y2[1] (numeric) = 0.7111743343647691 absolute error = 5.551115123125783e-16 relative error = 7.80556166735701e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.957381708029961 y1[1] (numeric) = 1.95738170802996 absolute error = 1.77635683940025e-15 relative error = 9.075168282777577e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2940000000000002 y2[1] (analytic) = 0.7102170972291241 y2[1] (numeric) = 0.7102170972291235 absolute error = 5.551115123125783e-16 relative error = 7.816082075161492e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.957092403721649 y1[1] (numeric) = 1.957092403721648 absolute error = 1.554312234475219e-15 relative error = 7.941946080417589e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2950000000000002 y2[1] (analytic) = 0.7092601498763571 y2[1] (numeric) = 0.7092601498763565 absolute error = 5.551115123125783e-16 relative error = 7.826627682513236e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.956802142321014 y1[1] (numeric) = 1.956802142321012 absolute error = 1.554312234475219e-15 relative error = 7.94312414555929e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2960000000000002 y2[1] (analytic) = 0.708303493263416 y2[1] (numeric) = 0.7083034932634155 absolute error = 5.551115123125783e-16 relative error = 7.837198568017424e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.956510924118316 y1[1] (numeric) = 1.956510924118314 absolute error = 1.77635683940025e-15 relative error = 9.079207366044992e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2970000000000002 y2[1] (analytic) = 0.7073471283469575 y2[1] (numeric) = 0.7073471283469568 absolute error = 6.661338147750939e-16 relative error = 9.417353772705949e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.956218749404773 y1[1] (numeric) = 1.956218749404771 absolute error = 1.77635683940025e-15 relative error = 9.080563408058277e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2980000000000002 y2[1] (analytic) = 0.7063910560833461 y2[1] (numeric) = 0.7063910560833454 absolute error = 6.661338147750939e-16 relative error = 9.430099787340707e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.95592561847256 y1[1] (numeric) = 1.955925618472559 absolute error = 1.77635683940025e-15 relative error = 9.081924295196152e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2990000000000002 y2[1] (analytic) = 0.7054352774286542 y2[1] (numeric) = 0.7054352774286535 absolute error = 6.661338147750939e-16 relative error = 9.442876420969248e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.955631531614809 y1[1] (numeric) = 1.955631531614807 absolute error = 1.77635683940025e-15 relative error = 9.083290030272075e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3000000000000002 y2[1] (analytic) = 0.7044797933386603 y2[1] (numeric) = 0.7044797933386596 absolute error = 6.661338147750939e-16 relative error = 9.455683769411786e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.955336489125606 y1[1] (numeric) = 1.955336489125604 absolute error = 1.77635683940025e-15 relative error = 9.084660616110159e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3010000000000002 y2[1] (analytic) = 0.7035246047688484 y2[1] (numeric) = 0.7035246047688478 absolute error = 5.551115123125783e-16 relative error = 7.890434940722038e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.955040491299993 y1[1] (numeric) = 1.955040491299991 absolute error = 1.77635683940025e-15 relative error = 9.086036055545182e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3020000000000002 y2[1] (analytic) = 0.7025697126744072 y2[1] (numeric) = 0.7025697126744065 absolute error = 6.661338147750939e-16 relative error = 9.481390995911053e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.954743538433969 y1[1] (numeric) = 1.954743538433967 absolute error = 1.77635683940025e-15 relative error = 9.087416351422592e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3030000000000002 y2[1] (analytic) = 0.7016151180102284 y2[1] (numeric) = 0.7016151180102277 absolute error = 6.661338147750939e-16 relative error = 9.494291067504946e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.954445630824486 y1[1] (numeric) = 1.954445630824484 absolute error = 1.77635683940025e-15 relative error = 9.088801506598533e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3040000000000002 y2[1] (analytic) = 0.7006608217309067 y2[1] (numeric) = 0.700660821730906 absolute error = 6.661338147750939e-16 relative error = 9.507222240990761e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.954146768769451 y1[1] (numeric) = 1.954146768769449 absolute error = 1.77635683940025e-15 relative error = 9.090191523939848e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3050000000000002 y2[1] (analytic) = 0.6997068247907383 y2[1] (numeric) = 0.6997068247907378 absolute error = 5.551115123125783e-16 relative error = 7.933487178413555e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.953846952567727 y1[1] (numeric) = 1.953846952567725 absolute error = 1.77635683940025e-15 relative error = 9.091586406324094e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3060000000000002 y2[1] (analytic) = 0.6987531281437201 y2[1] (numeric) = 0.6987531281437196 absolute error = 5.551115123125783e-16 relative error = 7.944315237446815e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.95354618251913 y1[1] (numeric) = 1.953546182519128 absolute error = 1.554312234475219e-15 relative error = 7.956362887059613e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3070000000000002 y2[1] (analytic) = 0.6977997327435488 y2[1] (numeric) = 0.6977997327435482 absolute error = 5.551115123125783e-16 relative error = 7.955169460011667e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.95324445892443 y1[1] (numeric) = 1.953244458924428 absolute error = 1.554312234475219e-15 relative error = 7.957591930562107e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3080000000000002 y2[1] (analytic) = 0.6968466395436195 y2[1] (numeric) = 0.6968466395436189 absolute error = 5.551115123125783e-16 relative error = 7.966049928519901e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.952941782085351 y1[1] (numeric) = 1.952941782085349 absolute error = 1.554312234475219e-15 relative error = 7.958825238587118e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3090000000000002 y2[1] (analytic) = 0.6958938494970253 y2[1] (numeric) = 0.6958938494970248 absolute error = 4.440892098500626e-16 relative error = 6.381565380568304e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.952638152304568 y1[1] (numeric) = 1.952638152304567 absolute error = 1.554312234475219e-15 relative error = 7.960062813690127e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3100000000000002 y2[1] (analytic) = 0.6949413635565563 y2[1] (numeric) = 0.6949413635565559 absolute error = 4.440892098500626e-16 relative error = 6.390311947720483e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.952333569885713 y1[1] (numeric) = 1.952333569885712 absolute error = 1.554312234475219e-15 relative error = 7.961304658436039e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3110000000000002 y2[1] (analytic) = 0.6939891826746984 y2[1] (numeric) = 0.6939891826746979 absolute error = 5.551115123125783e-16 relative error = 7.998849638738276e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.952028035133368 y1[1] (numeric) = 1.952028035133366 absolute error = 1.332267629550188e-15 relative error = 6.825043521770751e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3120000000000002 y2[1] (analytic) = 0.6930373078036323 y2[1] (numeric) = 0.6930373078036318 absolute error = 4.440892098500626e-16 relative error = 6.407868737362296e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.951721548353066 y1[1] (numeric) = 1.951721548353065 absolute error = 1.332267629550188e-15 relative error = 6.826115286140094e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3130000000000002 y2[1] (analytic) = 0.6920857398952328 y2[1] (numeric) = 0.6920857398952324 absolute error = 4.440892098500626e-16 relative error = 6.416679094085776e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.951414109851296 y1[1] (numeric) = 1.951414109851294 absolute error = 1.332267629550188e-15 relative error = 6.827190716847441e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3140000000000002 y2[1] (analytic) = 0.6911344799010677 y2[1] (numeric) = 0.6911344799010674 absolute error = 3.33066907387547e-16 relative error = 4.819133136509464e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.951105719935495 y1[1] (numeric) = 1.951105719935494 absolute error = 1.332267629550188e-15 relative error = 6.828269816123719e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3150000000000002 y2[1] (analytic) = 0.690183528772397 y2[1] (numeric) = 0.6901835287723966 absolute error = 3.33066907387547e-16 relative error = 4.825773051697718e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.950796378914053 y1[1] (numeric) = 1.950796378914052 absolute error = 1.332267629550188e-15 relative error = 6.829352586207994e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3160000000000002 y2[1] (analytic) = 0.6892328874601718 y2[1] (numeric) = 0.6892328874601713 absolute error = 4.440892098500626e-16 relative error = 6.443238822896781e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.950486087096312 y1[1] (numeric) = 1.950486087096311 absolute error = 1.332267629550188e-15 relative error = 6.830439029347471e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3170000000000002 y2[1] (analytic) = 0.688282556915033 y2[1] (numeric) = 0.6882825569150327 absolute error = 3.33066907387547e-16 relative error = 4.839101384181429e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.950174844792563 y1[1] (numeric) = 1.950174844792561 absolute error = 1.332267629550188e-15 relative error = 6.83152914779751e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3180000000000002 y2[1] (analytic) = 0.6873325380873115 y2[1] (numeric) = 0.6873325380873112 absolute error = 3.33066907387547e-16 relative error = 4.84578990417645e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.949862652314048 y1[1] (numeric) = 1.949862652314047 absolute error = 1.110223024625157e-15 relative error = 5.6938524531847e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3190000000000002 y2[1] (analytic) = 0.6863828319270259 y2[1] (numeric) = 0.6863828319270255 absolute error = 3.33066907387547e-16 relative error = 4.852494728815677e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.94954950997296 y1[1] (numeric) = 1.949549509972959 absolute error = 1.110223024625157e-15 relative error = 5.694767016409629e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3200000000000002 y2[1] (analytic) = 0.685433439383882 y2[1] (numeric) = 0.6854334393838818 absolute error = 2.220446049250313e-16 relative error = 3.2394772733093e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.949235418082441 y1[1] (numeric) = 1.94923541808244 absolute error = 1.110223024625157e-15 relative error = 5.695684648072616e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3210000000000002 y2[1] (analytic) = 0.6844843614072728 y2[1] (numeric) = 0.6844843614072724 absolute error = 3.33066907387547e-16 relative error = 4.865953499693909e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.948920376956583 y1[1] (numeric) = 1.948920376956582 absolute error = 1.332267629550188e-15 relative error = 6.835926420096471e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3220000000000002 y2[1] (analytic) = 0.6835355989462757 y2[1] (numeric) = 0.6835355989462754 absolute error = 3.33066907387547e-16 relative error = 4.872707550287008e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.948604386910427 y1[1] (numeric) = 1.948604386910426 absolute error = 1.332267629550188e-15 relative error = 6.837034949215831e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3230000000000002 y2[1] (analytic) = 0.6825871529496533 y2[1] (numeric) = 0.682587152949653 absolute error = 3.33066907387547e-16 relative error = 4.879478114234499e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.948287448259964 y1[1] (numeric) = 1.948287448259962 absolute error = 1.332267629550188e-15 relative error = 6.838147167349717e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3240000000000002 y2[1] (analytic) = 0.6816390243658516 y2[1] (numeric) = 0.6816390243658512 absolute error = 3.33066907387547e-16 relative error = 4.886265244238455e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.947969561322131 y1[1] (numeric) = 1.94796956132213 absolute error = 1.332267629550188e-15 relative error = 6.83926307681085e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3250000000000002 y2[1] (analytic) = 0.6806912141429989 y2[1] (numeric) = 0.6806912141429986 absolute error = 3.33066907387547e-16 relative error = 4.893068993212782e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.947650726414816 y1[1] (numeric) = 1.947650726414814 absolute error = 1.332267629550188e-15 relative error = 6.840382679920188e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3260000000000002 y2[1] (analytic) = 0.6797437232289055 y2[1] (numeric) = 0.6797437232289052 absolute error = 3.33066907387547e-16 relative error = 4.899889414284239e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.947330943856853 y1[1] (numeric) = 1.947330943856852 absolute error = 1.332267629550188e-15 relative error = 6.841505979006935e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3270000000000002 y2[1] (analytic) = 0.6787965525710622 y2[1] (numeric) = 0.6787965525710619 absolute error = 3.33066907387547e-16 relative error = 4.906726560793467e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.947010213968026 y1[1] (numeric) = 1.947010213968024 absolute error = 1.332267629550188e-15 relative error = 6.84263297640855e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3280000000000002 y2[1] (analytic) = 0.6778497031166395 y2[1] (numeric) = 0.6778497031166392 absolute error = 3.33066907387547e-16 relative error = 4.913580486296019e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.946688537069063 y1[1] (numeric) = 1.946688537069062 absolute error = 1.110223024625157e-15 relative error = 5.703136395392301e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3290000000000002 y2[1] (analytic) = 0.6769031758124868 y2[1] (numeric) = 0.6769031758124865 absolute error = 3.33066907387547e-16 relative error = 4.920451244563402e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.946365913481642 y1[1] (numeric) = 1.946365913481641 absolute error = 1.110223024625157e-15 relative error = 5.704081729622974e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3300000000000002 y2[1] (analytic) = 0.6759569716051315 y2[1] (numeric) = 0.6759569716051311 absolute error = 3.33066907387547e-16 relative error = 4.927338889584115e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.946042343528387 y1[1] (numeric) = 1.946042343528386 absolute error = 1.110223024625157e-15 relative error = 5.705030151667723e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3310000000000002 y2[1] (analytic) = 0.6750110914407775 y2[1] (numeric) = 0.6750110914407772 absolute error = 3.33066907387547e-16 relative error = 4.934243475564709e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.945717827532867 y1[1] (numeric) = 1.945717827532866 absolute error = 1.110223024625157e-15 relative error = 5.705981663502041e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3320000000000002 y2[1] (analytic) = 0.674065536265305 y2[1] (numeric) = 0.6740655362653047 absolute error = 2.220446049250313e-16 relative error = 3.29411003795389e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.945392365819598 y1[1] (numeric) = 1.945392365819597 absolute error = 1.332267629550188e-15 relative error = 6.848323520530011e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3330000000000002 y2[1] (analytic) = 0.6731203070242691 y2[1] (numeric) = 0.6731203070242688 absolute error = 2.220446049250313e-16 relative error = 3.298735792218873e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.945065958714042 y1[1] (numeric) = 1.945065958714041 absolute error = 1.110223024625157e-15 relative error = 5.707893964475979e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3340000000000002 y2[1] (analytic) = 0.6721754046628989 y2[1] (numeric) = 0.6721754046628986 absolute error = 3.33066907387547e-16 relative error = 4.95505942462418e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.944738606542606 y1[1] (numeric) = 1.944738606542605 absolute error = 1.110223024625157e-15 relative error = 5.70885475760124e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3350000000000002 y2[1] (analytic) = 0.6712308301260967 y2[1] (numeric) = 0.6712308301260964 absolute error = 3.33066907387547e-16 relative error = 4.962032320907807e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.944410309632643 y1[1] (numeric) = 1.944410309632642 absolute error = 1.332267629550188e-15 relative error = 6.851782378184844e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3360000000000002 y2[1] (analytic) = 0.670286584358437 y2[1] (numeric) = 0.6702865843584367 absolute error = 3.33066907387547e-16 relative error = 4.969022432491932e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.944081068312449 y1[1] (numeric) = 1.944081068312447 absolute error = 1.332267629550188e-15 relative error = 6.852942766973484e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3370000000000002 y2[1] (analytic) = 0.6693426683041654 y2[1] (numeric) = 0.6693426683041651 absolute error = 3.33066907387547e-16 relative error = 4.976029814913776e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.943750882911264 y1[1] (numeric) = 1.943750882911263 absolute error = 1.110223024625157e-15 relative error = 5.711755731590015e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3380000000000002 y2[1] (analytic) = 0.6683990829071981 y2[1] (numeric) = 0.6683990829071977 absolute error = 3.33066907387547e-16 relative error = 4.983054523936124e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.943419753759276 y1[1] (numeric) = 1.943419753759275 absolute error = 1.332267629550188e-15 relative error = 6.855274713417423e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3390000000000002 y2[1] (analytic) = 0.6674558291111202 y2[1] (numeric) = 0.6674558291111198 absolute error = 4.440892098500626e-16 relative error = 6.653462154064569e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.943087681187612 y1[1] (numeric) = 1.943087681187611 absolute error = 1.332267629550188e-15 relative error = 6.856446275939066e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3400000000000002 y2[1] (analytic) = 0.6665129078591854 y2[1] (numeric) = 0.666512907859185 absolute error = 3.33066907387547e-16 relative error = 4.997156145967907e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.942754665528346 y1[1] (numeric) = 1.942754665528345 absolute error = 1.332267629550188e-15 relative error = 6.857621567918707e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3410000000000002 y2[1] (analytic) = 0.665570320094315 y2[1] (numeric) = 0.6655703200943146 absolute error = 4.440892098500626e-16 relative error = 6.672310895520893e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.942420707114493 y1[1] (numeric) = 1.942420707114492 absolute error = 1.332267629550188e-15 relative error = 6.858800591810512e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3420000000000002 y2[1] (analytic) = 0.6646280667590967 y2[1] (numeric) = 0.6646280667590962 absolute error = 4.440892098500626e-16 relative error = 6.681770332323758e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.942085806280011 y1[1] (numeric) = 1.94208580628001 absolute error = 1.332267629550188e-15 relative error = 6.85998335007707e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3430000000000002 y2[1] (analytic) = 0.6636861487957836 y2[1] (numeric) = 0.6636861487957831 absolute error = 4.440892098500626e-16 relative error = 6.691253247575444e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.941749963359802 y1[1] (numeric) = 1.941749963359801 absolute error = 1.332267629550188e-15 relative error = 6.861169845189392e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3440000000000002 y2[1] (analytic) = 0.6627445671462937 y2[1] (numeric) = 0.6627445671462933 absolute error = 4.440892098500626e-16 relative error = 6.700759717461927e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.941413178689708 y1[1] (numeric) = 1.941413178689706 absolute error = 1.332267629550188e-15 relative error = 6.862360079626933e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3450000000000002 y2[1] (analytic) = 0.6618033227522085 y2[1] (numeric) = 0.6618033227522081 absolute error = 4.440892098500626e-16 relative error = 6.710289818480375e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.941075452606513 y1[1] (numeric) = 1.941075452606512 absolute error = 1.332267629550188e-15 relative error = 6.863554055877598e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3460000000000002 y2[1] (analytic) = 0.6608624165547725 y2[1] (numeric) = 0.6608624165547721 absolute error = 4.440892098500626e-16 relative error = 6.719843627440665e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.940736785447944 y1[1] (numeric) = 1.940736785447943 absolute error = 1.332267629550188e-15 relative error = 6.864751776437758e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3470000000000002 y2[1] (analytic) = 0.6599218494948915 y2[1] (numeric) = 0.6599218494948912 absolute error = 3.33066907387547e-16 relative error = 5.047065916100195e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.940397177552668 y1[1] (numeric) = 1.940397177552667 absolute error = 1.110223024625157e-15 relative error = 5.721627703176876e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3480000000000002 y2[1] (analytic) = 0.6589816225131329 y2[1] (numeric) = 0.6589816225131324 absolute error = 4.440892098500626e-16 relative error = 6.739022677999071e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.940056629260293 y1[1] (numeric) = 1.940056629260292 absolute error = 1.332267629550188e-15 relative error = 6.867158460514403e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3490000000000002 y2[1] (analytic) = 0.6580417365497232 y2[1] (numeric) = 0.6580417365497228 absolute error = 4.440892098500626e-16 relative error = 6.748648074794359e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.939715140911367 y1[1] (numeric) = 1.939715140911366 absolute error = 1.110223024625157e-15 relative error = 5.723639524221699e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3500000000000002 y2[1] (analytic) = 0.6571021925445485 y2[1] (numeric) = 0.657102192544548 absolute error = 4.440892098500626e-16 relative error = 6.758297489928941e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.939372712847379 y1[1] (numeric) = 1.939372712847378 absolute error = 1.110223024625157e-15 relative error = 5.724650126664574e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3510000000000002 y2[1] (analytic) = 0.6561629914371526 y2[1] (numeric) = 0.6561629914371522 absolute error = 4.440892098500626e-16 relative error = 6.767971001799444e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.939029345410756 y1[1] (numeric) = 1.939029345410755 absolute error = 1.110223024625157e-15 relative error = 5.725663859873e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3520000000000002 y2[1] (analytic) = 0.6552241341667367 y2[1] (numeric) = 0.6552241341667363 absolute error = 4.440892098500626e-16 relative error = 6.777668689124536e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.938685038944866 y1[1] (numeric) = 1.938685038944864 absolute error = 1.332267629550188e-15 relative error = 6.872016871163756e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3530000000000002 y2[1] (analytic) = 0.6542856216721579 y2[1] (numeric) = 0.6542856216721575 absolute error = 3.33066907387547e-16 relative error = 5.090542973209893e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.938339793794015 y1[1] (numeric) = 1.938339793794013 absolute error = 1.332267629550188e-15 relative error = 6.873240872501875e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3540000000000002 y2[1] (analytic) = 0.6533474548919286 y2[1] (numeric) = 0.6533474548919282 absolute error = 3.33066907387547e-16 relative error = 5.097852679974703e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.937993610303448 y1[1] (numeric) = 1.937993610303447 absolute error = 1.110223024625157e-15 relative error = 5.728723865355365e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3550000000000002 y2[1] (analytic) = 0.6524096347642155 y2[1] (numeric) = 0.6524096347642152 absolute error = 3.33066907387547e-16 relative error = 5.10518069690861e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.937646488819349 y1[1] (numeric) = 1.937646488819348 absolute error = 1.110223024625157e-15 relative error = 5.7297501429254e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3560000000000002 y2[1] (analytic) = 0.6514721622268387 y2[1] (numeric) = 0.6514721622268383 absolute error = 3.33066907387547e-16 relative error = 5.112527084028728e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.93729842968884 y1[1] (numeric) = 1.937298429688839 absolute error = 1.110223024625157e-15 relative error = 5.730779561946352e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3570000000000002 y2[1] (analytic) = 0.6505350382172707 y2[1] (numeric) = 0.6505350382172703 absolute error = 3.33066907387547e-16 relative error = 5.119891901599722e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.936949433259979 y1[1] (numeric) = 1.936949433259978 absolute error = 1.110223024625157e-15 relative error = 5.731812124576726e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3580000000000002 y2[1] (analytic) = 0.6495982636726352 y2[1] (numeric) = 0.649598263672635 absolute error = 2.220446049250313e-16 relative error = 3.418183473423362e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.936599499881763 y1[1] (numeric) = 1.936599499881761 absolute error = 1.110223024625157e-15 relative error = 5.732847832982195e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3590000000000002 y2[1] (analytic) = 0.6486618395297069 y2[1] (numeric) = 0.6486618395297067 absolute error = 2.220446049250313e-16 relative error = 3.423118046932099e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.936248629904125 y1[1] (numeric) = 1.936248629904123 absolute error = 1.110223024625157e-15 relative error = 5.733886689335607e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3600000000000002 y2[1] (analytic) = 0.6477257667249098 y2[1] (numeric) = 0.6477257667249096 absolute error = 2.220446049250313e-16 relative error = 3.428065028935834e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.935896823677935 y1[1] (numeric) = 1.935896823677934 absolute error = 1.110223024625157e-15 relative error = 5.734928695816997e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3610000000000002 y2[1] (analytic) = 0.6467900461943167 y2[1] (numeric) = 0.6467900461943163 absolute error = 3.33066907387547e-16 relative error = 5.149536690419055e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.935544081554999 y1[1] (numeric) = 1.935544081554998 absolute error = 8.881784197001252e-16 relative error = 4.588779083690879e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3620000000000002 y2[1] (analytic) = 0.6458546788736479 y2[1] (numeric) = 0.6458546788736476 absolute error = 3.33066907387547e-16 relative error = 5.156994572965023e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.93519040388806 y1[1] (numeric) = 1.935190403888059 absolute error = 8.881784197001252e-16 relative error = 4.589617734335879e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3630000000000002 y2[1] (analytic) = 0.6449196656982706 y2[1] (numeric) = 0.6449196656982704 absolute error = 2.220446049250313e-16 relative error = 3.442980835211748e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.934835791030795 y1[1] (numeric) = 1.934835791030794 absolute error = 8.881784197001252e-16 relative error = 4.590458910349922e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3640000000000002 y2[1] (analytic) = 0.6439850076031982 y2[1] (numeric) = 0.643985007603198 absolute error = 2.220446049250313e-16 relative error = 3.447977861339401e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.934480243337817 y1[1] (numeric) = 1.934480243337816 absolute error = 8.881784197001252e-16 relative error = 4.591302613500113e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3650000000000002 y2[1] (analytic) = 0.6430507055230884 y2[1] (numeric) = 0.6430507055230882 absolute error = 2.220446049250313e-16 relative error = 3.452987501886177e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.934123761164673 y1[1] (numeric) = 1.934123761164672 absolute error = 8.881784197001252e-16 relative error = 4.592148845559345e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3660000000000002 y2[1] (analytic) = 0.6421167603922434 y2[1] (numeric) = 0.6421167603922432 absolute error = 2.220446049250313e-16 relative error = 3.458009798551172e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.933766344867846 y1[1] (numeric) = 1.933766344867845 absolute error = 6.661338147750939e-16 relative error = 3.444748206229733e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3670000000000002 y2[1] (analytic) = 0.6411831731446082 y2[1] (numeric) = 0.6411831731446079 absolute error = 2.220446049250313e-16 relative error = 3.463044793206899e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.933407994804752 y1[1] (numeric) = 1.933407994804751 absolute error = 8.881784197001252e-16 relative error = 4.593848903525503e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3680000000000002 y2[1] (analytic) = 0.6402499447137698 y2[1] (numeric) = 0.6402499447137696 absolute error = 2.220446049250313e-16 relative error = 3.468092527900156e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.933048711333741 y1[1] (numeric) = 1.93304871133374 absolute error = 8.881784197001252e-16 relative error = 4.594702733007235e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3690000000000002 y2[1] (analytic) = 0.6393170760329568 y2[1] (numeric) = 0.6393170760329566 absolute error = 2.220446049250313e-16 relative error = 3.473153044852894e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.932688494814096 y1[1] (numeric) = 1.932688494814095 absolute error = 6.661338147750939e-16 relative error = 3.446669323910726e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3700000000000002 y2[1] (analytic) = 0.6383845680350378 y2[1] (numeric) = 0.6383845680350375 absolute error = 3.33066907387547e-16 relative error = 5.217339579694641e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.932327345606034 y1[1] (numeric) = 1.932327345606034 absolute error = 6.661338147750939e-16 relative error = 3.447313501461497e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3710000000000002 y2[1] (analytic) = 0.6374524216525206 y2[1] (numeric) = 0.6374524216525203 absolute error = 3.33066907387547e-16 relative error = 5.224968892958475e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.931965264070705 y1[1] (numeric) = 1.931965264070704 absolute error = 4.440892098500626e-16 relative error = 2.29863972250906e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3720000000000002 y2[1] (analytic) = 0.6365206378175515 y2[1] (numeric) = 0.6365206378175512 absolute error = 3.33066907387547e-16 relative error = 5.232617571199871e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.931602250570189 y1[1] (numeric) = 1.931602250570188 absolute error = 6.661338147750939e-16 relative error = 3.448607572177234e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3730000000000002 y2[1] (analytic) = 0.6355892174619143 y2[1] (numeric) = 0.635589217461914 absolute error = 3.33066907387547e-16 relative error = 5.240285678815893e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.9312383054675 y1[1] (numeric) = 1.931238305467499 absolute error = 6.661338147750939e-16 relative error = 3.449257468067056e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3740000000000002 y2[1] (analytic) = 0.6346581615170293 y2[1] (numeric) = 0.6346581615170289 absolute error = 3.33066907387547e-16 relative error = 5.247973280472972e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.930873429126583 y1[1] (numeric) = 1.930873429126582 absolute error = 6.661338147750939e-16 relative error = 3.449909272802076e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3750000000000002 y2[1] (analytic) = 0.6337274709139522 y2[1] (numeric) = 0.6337274709139519 absolute error = 3.33066907387547e-16 relative error = 5.255680441108271e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.930507621912314 y1[1] (numeric) = 1.930507621912313 absolute error = 8.881784197001252e-16 relative error = 4.600750650340956e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3760000000000002 y2[1] (analytic) = 0.6327971465833738 y2[1] (numeric) = 0.6327971465833735 absolute error = 3.33066907387547e-16 relative error = 5.263407225931034e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.930140884190501 y1[1] (numeric) = 1.930140884190501 absolute error = 8.881784197001252e-16 relative error = 4.601624819074417e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3770000000000002 y2[1] (analytic) = 0.6318671894556182 y2[1] (numeric) = 0.6318671894556179 absolute error = 2.220446049250313e-16 relative error = 3.514102466949307e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.929773216327882 y1[1] (numeric) = 1.929773216327881 absolute error = 6.661338147750939e-16 relative error = 3.451876153834613e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3780000000000002 y2[1] (analytic) = 0.6309376004606424 y2[1] (numeric) = 0.6309376004606422 absolute error = 2.220446049250313e-16 relative error = 3.519279953563052e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.929404618692124 y1[1] (numeric) = 1.929404618692123 absolute error = 8.881784197001252e-16 relative error = 4.603380810305049e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3790000000000002 y2[1] (analytic) = 0.6300083805280354 y2[1] (numeric) = 0.6300083805280352 absolute error = 2.220446049250313e-16 relative error = 3.524470654484418e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.929035091651824 y1[1] (numeric) = 1.929035091651823 absolute error = 8.881784197001252e-16 relative error = 4.604262636505913e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3800000000000002 y2[1] (analytic) = 0.6290795305870172 y2[1] (numeric) = 0.6290795305870168 absolute error = 3.33066907387547e-16 relative error = 5.294511920881451e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.92866463557651 y1[1] (numeric) = 1.928664635576509 absolute error = 8.881784197001252e-16 relative error = 4.605147018909453e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3810000000000002 y2[1] (analytic) = 0.6281510515664372 y2[1] (numeric) = 0.628151051566437 absolute error = 2.220446049250313e-16 relative error = 3.534891876266268e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.928293250836638 y1[1] (numeric) = 1.928293250836637 absolute error = 8.881784197001252e-16 relative error = 4.606033959382303e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3820000000000002 y2[1] (analytic) = 0.6272229443947749 y2[1] (numeric) = 0.6272229443947747 absolute error = 2.220446049250313e-16 relative error = 3.54012248610083e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.927920937803593 y1[1] (numeric) = 1.927920937803592 absolute error = 8.881784197001252e-16 relative error = 4.606923459797025e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3830000000000002 y2[1] (analytic) = 0.6262952100001371 y2[1] (numeric) = 0.6262952100001368 absolute error = 3.33066907387547e-16 relative error = 5.318049732289571e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.927547696849687 y1[1] (numeric) = 1.927547696849686 absolute error = 8.881784197001252e-16 relative error = 4.607815522032121e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3840000000000002 y2[1] (analytic) = 0.6253678493102581 y2[1] (numeric) = 0.6253678493102578 absolute error = 3.33066907387547e-16 relative error = 5.325935891250231e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.927173528348161 y1[1] (numeric) = 1.92717352834816 absolute error = 8.881784197001252e-16 relative error = 4.60871014797204e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3850000000000002 y2[1] (analytic) = 0.6244408632524986 y2[1] (numeric) = 0.6244408632524983 absolute error = 3.33066907387547e-16 relative error = 5.333842273753763e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.926798432673185 y1[1] (numeric) = 1.926798432673184 absolute error = 8.881784197001252e-16 relative error = 4.609607339507185e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3860000000000002 y2[1] (analytic) = 0.6235142527538445 y2[1] (numeric) = 0.6235142527538442 absolute error = 3.33066907387547e-16 relative error = 5.341768947806836e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.926422410199853 y1[1] (numeric) = 1.926422410199852 absolute error = 8.881784197001252e-16 relative error = 4.610507098533924e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3870000000000002 y2[1] (analytic) = 0.6225880187409063 y2[1] (numeric) = 0.622588018740906 absolute error = 3.33066907387547e-16 relative error = 5.349715981703701e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.926045461304188 y1[1] (numeric) = 1.926045461304187 absolute error = 8.881784197001252e-16 relative error = 4.6114094269546e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3880000000000002 y2[1] (analytic) = 0.621662162139918 y2[1] (numeric) = 0.6216621621399175 absolute error = 4.440892098500626e-16 relative error = 7.143577925370196e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.925667586363138 y1[1] (numeric) = 1.925667586363137 absolute error = 8.881784197001252e-16 relative error = 4.612314326677535e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3890000000000002 y2[1] (analytic) = 0.6207366838767359 y2[1] (numeric) = 0.6207366838767355 absolute error = 3.33066907387547e-16 relative error = 5.365671403652478e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.92528878575458 y1[1] (numeric) = 1.925288785754579 absolute error = 8.881784197001252e-16 relative error = 4.613221799617041e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3900000000000002 y2[1] (analytic) = 0.6198115848768384 y2[1] (numeric) = 0.619811584876838 absolute error = 4.440892098500626e-16 relative error = 7.164906572991964e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.924909059857313 y1[1] (numeric) = 1.924909059857312 absolute error = 8.881784197001252e-16 relative error = 4.614131847693433e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3910000000000002 y2[1] (analytic) = 0.6188868660653243 y2[1] (numeric) = 0.6188868660653238 absolute error = 4.440892098500626e-16 relative error = 7.17561212234852e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.924528409051063 y1[1] (numeric) = 1.924528409051062 absolute error = 8.881784197001252e-16 relative error = 4.61504447283303e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3920000000000002 y2[1] (analytic) = 0.6179625283669123 y2[1] (numeric) = 0.6179625283669119 absolute error = 4.440892098500626e-16 relative error = 7.186345279278597e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.924146833716481 y1[1] (numeric) = 1.92414683371648 absolute error = 8.881784197001252e-16 relative error = 4.615959676968168e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3930000000000002 y2[1] (analytic) = 0.6170385727059402 y2[1] (numeric) = 0.6170385727059398 absolute error = 4.440892098500626e-16 relative error = 7.197106137183105e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.923764334235143 y1[1] (numeric) = 1.923764334235142 absolute error = 8.881784197001252e-16 relative error = 4.616877462037212e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3940000000000002 y2[1] (analytic) = 0.6161150000063635 y2[1] (numeric) = 0.616115000006363 absolute error = 5.551115123125783e-16 relative error = 9.009868487325333e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.923380910989547 y1[1] (numeric) = 1.923380910989546 absolute error = 8.881784197001252e-16 relative error = 4.617797829984558e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3950000000000002 y2[1] (analytic) = 0.6151918111917547 y2[1] (numeric) = 0.6151918111917543 absolute error = 4.440892098500626e-16 relative error = 7.218711331507636e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.922996564363117 y1[1] (numeric) = 1.922996564363116 absolute error = 6.661338147750939e-16 relative error = 3.464040587070486e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3960000000000002 y2[1] (analytic) = 0.6142690071853028 y2[1] (numeric) = 0.6142690071853023 absolute error = 4.440892098500626e-16 relative error = 7.229555856724136e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.9226112947402 y1[1] (numeric) = 1.922611294740199 absolute error = 6.661338147750939e-16 relative error = 3.46473474174148e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3970000000000002 y2[1] (analytic) = 0.6133465889098114 y2[1] (numeric) = 0.613346588909811 absolute error = 4.440892098500626e-16 relative error = 7.24042846051212e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.922225102506065 y1[1] (numeric) = 1.922225102506064 absolute error = 6.661338147750939e-16 relative error = 3.465430837973318e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3980000000000002 y2[1] (analytic) = 0.612424557287699 y2[1] (numeric) = 0.6124245572876985 absolute error = 4.440892098500626e-16 relative error = 7.251329238279429e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.921837988046904 y1[1] (numeric) = 1.921837988046903 absolute error = 4.440892098500626e-16 relative error = 2.310752584828312e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3990000000000002 y2[1] (analytic) = 0.6115029132409969 y2[1] (numeric) = 0.6115029132409965 absolute error = 4.440892098500626e-16 relative error = 7.262258285841468e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.921449951749832 y1[1] (numeric) = 1.921449951749831 absolute error = 6.661338147750939e-16 relative error = 3.466828861029959e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4000000000000002 y2[1] (analytic) = 0.6105816576913493 y2[1] (numeric) = 0.6105816576913489 absolute error = 4.440892098500626e-16 relative error = 7.273215699423302e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.921060994002885 y1[1] (numeric) = 1.921060994002884 absolute error = 4.440892098500626e-16 relative error = 2.311687193880923e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4010000000000002 y2[1] (analytic) = 0.6096607915600115 y2[1] (numeric) = 0.6096607915600111 absolute error = 4.440892098500626e-16 relative error = 7.284201575661751e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.920671115195021 y1[1] (numeric) = 1.92067111519502 absolute error = 6.661338147750939e-16 relative error = 3.468234668106914e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4020000000000002 y2[1] (analytic) = 0.6087403157678496 y2[1] (numeric) = 0.6087403157678491 absolute error = 4.440892098500626e-16 relative error = 7.295216011607507e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.920280315716118 y1[1] (numeric) = 1.920280315716117 absolute error = 6.661338147750939e-16 relative error = 3.468940494381295e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4030000000000002 y2[1] (analytic) = 0.6078202312353393 y2[1] (numeric) = 0.6078202312353389 absolute error = 4.440892098500626e-16 relative error = 7.30625910472726e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.919888595956976 y1[1] (numeric) = 1.919888595956976 absolute error = 4.440892098500626e-16 relative error = 2.313098847429241e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4040000000000002 y2[1] (analytic) = 0.6069005388825651 y2[1] (numeric) = 0.6069005388825647 absolute error = 4.440892098500626e-16 relative error = 7.317330952905837e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.919495956309315 y1[1] (numeric) = 1.919495956309315 absolute error = 4.440892098500626e-16 relative error = 2.313571999932363e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4050000000000002 y2[1] (analytic) = 0.6059812396292193 y2[1] (numeric) = 0.6059812396292189 absolute error = 4.440892098500626e-16 relative error = 7.328431654448357e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.919102397165775 y1[1] (numeric) = 1.919102397165774 absolute error = 4.440892098500626e-16 relative error = 2.314046454769248e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4060000000000002 y2[1] (analytic) = 0.6050623343946011 y2[1] (numeric) = 0.6050623343946007 absolute error = 4.440892098500626e-16 relative error = 7.339561308082396e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.918707918919913 y1[1] (numeric) = 1.918707918919913 absolute error = 6.661338147750939e-16 relative error = 3.471783319422982e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4070000000000003 y2[1] (analytic) = 0.6041438240976155 y2[1] (numeric) = 0.604143824097615 absolute error = 4.440892098500626e-16 relative error = 7.350720012960162e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.91831252196621 y1[1] (numeric) = 1.918312521966209 absolute error = 4.440892098500626e-16 relative error = 2.314999275482418e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4080000000000003 y2[1] (analytic) = 0.6032257096567728 y2[1] (numeric) = 0.6032257096567724 absolute error = 4.440892098500626e-16 relative error = 7.361907868660693e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.917916206700061 y1[1] (numeric) = 1.91791620670006 absolute error = 4.440892098500626e-16 relative error = 2.315477643385454e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4090000000000003 y2[1] (analytic) = 0.6023079919901874 y2[1] (numeric) = 0.6023079919901869 absolute error = 4.440892098500626e-16 relative error = 7.373124975192054e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.917518973517781 y1[1] (numeric) = 1.917518973517781 absolute error = 4.440892098500626e-16 relative error = 2.315957317675765e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4100000000000003 y2[1] (analytic) = 0.6013906720155768 y2[1] (numeric) = 0.6013906720155764 absolute error = 4.440892098500626e-16 relative error = 7.384371432993561e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.917120822816605 y1[1] (numeric) = 1.917120822816605 absolute error = 4.440892098500626e-16 relative error = 2.316438299374441e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4110000000000003 y2[1] (analytic) = 0.6004737506502611 y2[1] (numeric) = 0.6004737506502607 absolute error = 4.440892098500626e-16 relative error = 7.395647342938013e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.916721754994682 y1[1] (numeric) = 1.916721754994682 absolute error = 4.440892098500626e-16 relative error = 2.316920589505672e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4120000000000003 y2[1] (analytic) = 0.5995572288111614 y2[1] (numeric) = 0.5995572288111609 absolute error = 4.440892098500626e-16 relative error = 7.406952806333931e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.916321770451081 y1[1] (numeric) = 1.91632177045108 absolute error = 4.440892098500626e-16 relative error = 2.317404189096745e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4130000000000003 y2[1] (analytic) = 0.5986411074147995 y2[1] (numeric) = 0.598641107414799 absolute error = 4.440892098500626e-16 relative error = 7.418287924927821e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.915920869585785 y1[1] (numeric) = 1.915920869585785 absolute error = 4.440892098500626e-16 relative error = 2.317889099178052e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4140000000000003 y2[1] (analytic) = 0.5977253873772967 y2[1] (numeric) = 0.5977253873772963 absolute error = 4.440892098500626e-16 relative error = 7.429652800906451e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.915519052799697 y1[1] (numeric) = 1.915519052799696 absolute error = 4.440892098500626e-16 relative error = 2.318375320783094e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4150000000000003 y2[1] (analytic) = 0.5968100696143731 y2[1] (numeric) = 0.5968100696143727 absolute error = 4.440892098500626e-16 relative error = 7.441047536899125e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.915116320494632 y1[1] (numeric) = 1.915116320494631 absolute error = 4.440892098500626e-16 relative error = 2.318862854948489e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4160000000000003 y2[1] (analytic) = 0.5958951550413463 y2[1] (numeric) = 0.5958951550413458 absolute error = 4.440892098500626e-16 relative error = 7.452472235979993e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.914712673073322 y1[1] (numeric) = 1.914712673073322 absolute error = 4.440892098500626e-16 relative error = 2.31935170271397e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4170000000000003 y2[1] (analytic) = 0.5949806445731307 y2[1] (numeric) = 0.5949806445731303 absolute error = 4.440892098500626e-16 relative error = 7.463927001670361e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.914308110939416 y1[1] (numeric) = 1.914308110939415 absolute error = 6.661338147750939e-16 relative error = 3.479762797683594e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4180000000000003 y2[1] (analytic) = 0.5940665391242368 y2[1] (numeric) = 0.5940665391242363 absolute error = 4.440892098500626e-16 relative error = 7.475411937941021e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.913902634497475 y1[1] (numeric) = 1.913902634497474 absolute error = 6.661338147750939e-16 relative error = 3.480500014829635e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4190000000000003 y2[1] (analytic) = 0.59315283960877 y2[1] (numeric) = 0.5931528396087695 absolute error = 4.440892098500626e-16 relative error = 7.486927149214588e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.913496244152975 y1[1] (numeric) = 1.913496244152975 absolute error = 4.440892098500626e-16 relative error = 2.320826138055172e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4200000000000003 y2[1] (analytic) = 0.5922395469404296 y2[1] (numeric) = 0.5922395469404291 absolute error = 4.440892098500626e-16 relative error = 7.498472740367865e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.913088940312308 y1[1] (numeric) = 1.913088940312308 absolute error = 4.440892098500626e-16 relative error = 2.321320250680901e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4210000000000003 y2[1] (analytic) = 0.5913266620325083 y2[1] (numeric) = 0.5913266620325078 absolute error = 4.440892098500626e-16 relative error = 7.510048816734205e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.912680723382777 y1[1] (numeric) = 1.912680723382776 absolute error = 4.440892098500626e-16 relative error = 2.321815682152347e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4220000000000003 y2[1] (analytic) = 0.590414185797891 y2[1] (numeric) = 0.5904141857978905 absolute error = 4.440892098500626e-16 relative error = 7.521655484105899e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.912271593772598 y1[1] (numeric) = 1.912271593772597 absolute error = 4.440892098500626e-16 relative error = 2.322312433528062e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4230000000000003 y2[1] (analytic) = 0.5895021191490536 y2[1] (numeric) = 0.5895021191490533 absolute error = 3.33066907387547e-16 relative error = 5.649969636552437e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.911861551890901 y1[1] (numeric) = 1.911861551890901 absolute error = 4.440892098500626e-16 relative error = 2.322810505869749e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4240000000000003 y2[1] (analytic) = 0.5885904629980629 y2[1] (numeric) = 0.5885904629980626 absolute error = 3.33066907387547e-16 relative error = 5.658720763007727e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.911450598147728 y1[1] (numeric) = 1.911450598147728 absolute error = 4.440892098500626e-16 relative error = 2.32330990024227e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4250000000000003 y2[1] (analytic) = 0.587679218256575 y2[1] (numeric) = 0.5876792182565747 absolute error = 3.33066907387547e-16 relative error = 5.667495072832969e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.911038732954033 y1[1] (numeric) = 1.911038732954033 absolute error = 4.440892098500626e-16 relative error = 2.323810617713651e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4260000000000003 y2[1] (analytic) = 0.5867683858358345 y2[1] (numeric) = 0.5867683858358341 absolute error = 3.33066907387547e-16 relative error = 5.676292646767308e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.910625956721682 y1[1] (numeric) = 1.910625956721681 absolute error = 4.440892098500626e-16 relative error = 2.324312659355085e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4270000000000003 y2[1] (analytic) = 0.5858579666466736 y2[1] (numeric) = 0.5858579666466733 absolute error = 2.220446049250313e-16 relative error = 3.790075710602135e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.910212269863449 y1[1] (numeric) = 1.910212269863448 absolute error = 6.661338147750939e-16 relative error = 3.487224039361407e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4280000000000003 y2[1] (analytic) = 0.5849479615995116 y2[1] (numeric) = 0.5849479615995113 absolute error = 2.220446049250313e-16 relative error = 3.795971941125518e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.909797672793022 y1[1] (numeric) = 1.909797672793022 absolute error = 4.440892098500626e-16 relative error = 2.325320719448754e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4290000000000003 y2[1] (analytic) = 0.5840383716043535 y2[1] (numeric) = 0.5840383716043531 absolute error = 3.33066907387547e-16 relative error = 5.702825765927196e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.909382165924999 y1[1] (numeric) = 1.909382165924998 absolute error = 4.440892098500626e-16 relative error = 2.325826740059259e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4300000000000003 y2[1] (analytic) = 0.583129197570789 y2[1] (numeric) = 0.5831291975707886 absolute error = 3.33066907387547e-16 relative error = 5.711717210783538e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.908965749674885 y1[1] (numeric) = 1.908965749674885 absolute error = 4.440892098500626e-16 relative error = 2.326334089156368e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4310000000000003 y2[1] (analytic) = 0.5822204404079923 y2[1] (numeric) = 0.5822204404079919 absolute error = 3.33066907387547e-16 relative error = 5.720632328781683e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.908548424459097 y1[1] (numeric) = 1.908548424459097 absolute error = 4.440892098500626e-16 relative error = 2.326842767827189e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4320000000000003 y2[1] (analytic) = 0.5813121010247202 y2[1] (numeric) = 0.58131210102472 absolute error = 2.220446049250313e-16 relative error = 3.819714135205813e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.908130190694961 y1[1] (numeric) = 1.90813019069496 absolute error = 4.440892098500626e-16 relative error = 2.327352777162028e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4330000000000003 y2[1] (analytic) = 0.5804041803293124 y2[1] (numeric) = 0.5804041803293121 absolute error = 3.33066907387547e-16 relative error = 5.738533916116351e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.907711048800709 y1[1] (numeric) = 1.907711048800709 absolute error = 4.440892098500626e-16 relative error = 2.327864118254393e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4340000000000003 y2[1] (analytic) = 0.5794966792296892 y2[1] (numeric) = 0.5794966792296888 absolute error = 3.33066907387547e-16 relative error = 5.747520552322831e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.907290999195485 y1[1] (numeric) = 1.907290999195484 absolute error = 4.440892098500626e-16 relative error = 2.328376792201002e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4350000000000003 y2[1] (analytic) = 0.5785895986333517 y2[1] (numeric) = 0.5785895986333514 absolute error = 3.33066907387547e-16 relative error = 5.75653119541489e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.906870042299337 y1[1] (numeric) = 1.906870042299336 absolute error = 4.440892098500626e-16 relative error = 2.328890800101785e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4360000000000003 y2[1] (analytic) = 0.5776829394473805 y2[1] (numeric) = 0.5776829394473801 absolute error = 3.33066907387547e-16 relative error = 5.765565929749689e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.906448178533221 y1[1] (numeric) = 1.906448178533221 absolute error = 2.220446049250313e-16 relative error = 1.164703071529946e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4370000000000003 y2[1] (analytic) = 0.5767767025784346 y2[1] (numeric) = 0.5767767025784343 absolute error = 3.33066907387547e-16 relative error = 5.774624840056779e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.906025408319004 y1[1] (numeric) = 1.906025408319003 absolute error = 2.220446049250313e-16 relative error = 1.164961411090846e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4380000000000003 y2[1] (analytic) = 0.575870888932751 y2[1] (numeric) = 0.5758708889327506 absolute error = 3.33066907387547e-16 relative error = 5.783708011440075e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.905601732079453 y1[1] (numeric) = 1.905601732079452 absolute error = 4.440892098500626e-16 relative error = 2.330440838576791e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4390000000000003 y2[1] (analytic) = 0.5749654994161429 y2[1] (numeric) = 0.5749654994161426 absolute error = 3.33066907387547e-16 relative error = 5.792815529379843e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.905177150238246 y1[1] (numeric) = 1.905177150238245 absolute error = 4.440892098500626e-16 relative error = 2.330960193358022e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4400000000000003 y2[1] (analytic) = 0.5740605349340001 y2[1] (numeric) = 0.5740605349339998 absolute error = 3.33066907387547e-16 relative error = 5.80194747973469e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.904751663219963 y1[1] (numeric) = 1.904751663219963 absolute error = 4.440892098500626e-16 relative error = 2.331480887641459e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4410000000000003 y2[1] (analytic) = 0.5731559963912869 y2[1] (numeric) = 0.5731559963912866 absolute error = 3.33066907387547e-16 relative error = 5.811103948743583e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.904325271450093 y1[1] (numeric) = 1.904325271450093 absolute error = 4.440892098500626e-16 relative error = 2.332002922546422e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4420000000000003 y2[1] (analytic) = 0.5722518846925417 y2[1] (numeric) = 0.5722518846925414 absolute error = 3.33066907387547e-16 relative error = 5.820285023027866e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.903897975355027 y1[1] (numeric) = 1.903897975355027 absolute error = 4.440892098500626e-16 relative error = 2.332526299195479e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4430000000000003 y2[1] (analytic) = 0.5713482007418762 y2[1] (numeric) = 0.5713482007418759 absolute error = 3.33066907387547e-16 relative error = 5.829490789593297e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.903469775362061 y1[1] (numeric) = 1.903469775362061 absolute error = 4.440892098500626e-16 relative error = 2.333051018714452e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4440000000000003 y2[1] (analytic) = 0.5704449454429742 y2[1] (numeric) = 0.5704449454429739 absolute error = 3.33066907387547e-16 relative error = 5.838721335832096e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.903040671899395 y1[1] (numeric) = 1.903040671899394 absolute error = 4.440892098500626e-16 relative error = 2.333577082232426e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4450000000000003 y2[1] (analytic) = 0.5695421196990909 y2[1] (numeric) = 0.5695421196990906 absolute error = 2.220446049250313e-16 relative error = 3.898651166350002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.902610665396132 y1[1] (numeric) = 1.902610665396132 absolute error = 4.440892098500626e-16 relative error = 2.33410449088175e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4460000000000003 y2[1] (analytic) = 0.5686397244130521 y2[1] (numeric) = 0.5686397244130518 absolute error = 3.33066907387547e-16 relative error = 5.85725711884335e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.902179756282279 y1[1] (numeric) = 1.902179756282279 absolute error = 4.440892098500626e-16 relative error = 2.334633245798042e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4470000000000003 y2[1] (analytic) = 0.5677377604872529 y2[1] (numeric) = 0.5677377604872526 absolute error = 3.33066907387547e-16 relative error = 5.866562532351151e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.901747944988745 y1[1] (numeric) = 1.901747944988744 absolute error = 4.440892098500626e-16 relative error = 2.335163348120199e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4480000000000003 y2[1] (analytic) = 0.5668362288236573 y2[1] (numeric) = 0.5668362288236569 absolute error = 3.33066907387547e-16 relative error = 5.875893079007201e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.901315231947341 y1[1] (numeric) = 1.901315231947341 absolute error = 4.440892098500626e-16 relative error = 2.335694798990398e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4490000000000003 y2[1] (analytic) = 0.5659351303237966 y2[1] (numeric) = 0.5659351303237963 absolute error = 3.33066907387547e-16 relative error = 5.885248848167185e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.90088161759078 y1[1] (numeric) = 1.90088161759078 absolute error = 4.440892098500626e-16 relative error = 2.336227599554102e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4500000000000003 y2[1] (analytic) = 0.5650344658887695 y2[1] (numeric) = 0.5650344658887692 absolute error = 3.33066907387547e-16 relative error = 5.894629929585804e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.900447102352677 y1[1] (numeric) = 1.900447102352676 absolute error = 4.440892098500626e-16 relative error = 2.336761750960067e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4510000000000003 y2[1] (analytic) = 0.5641342364192403 y2[1] (numeric) = 0.5641342364192399 absolute error = 4.440892098500626e-16 relative error = 7.872048551225219e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.900011686667546 y1[1] (numeric) = 1.900011686667546 absolute error = 4.440892098500626e-16 relative error = 2.337297254360346e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4520000000000003 y2[1] (analytic) = 0.5632344428154383 y2[1] (numeric) = 0.5632344428154379 absolute error = 4.440892098500626e-16 relative error = 7.88462452030091e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.899575370970804 y1[1] (numeric) = 1.899575370970803 absolute error = 6.661338147750939e-16 relative error = 3.506751166365445e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4530000000000003 y2[1] (analytic) = 0.5623350859771571 y2[1] (numeric) = 0.5623350859771566 absolute error = 4.440892098500626e-16 relative error = 7.897234601294329e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.899138155698766 y1[1] (numeric) = 1.899138155698765 absolute error = 6.661338147750939e-16 relative error = 3.507558482652874e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4540000000000003 y2[1] (analytic) = 0.5614361668037535 y2[1] (numeric) = 0.561436166803753 absolute error = 5.551115123125783e-16 relative error = 9.887348645043988e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.898700041288647 y1[1] (numeric) = 1.898700041288646 absolute error = 6.661338147750939e-16 relative error = 3.508367832145773e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4550000000000003 y2[1] (analytic) = 0.5605376861941465 y2[1] (numeric) = 0.560537686194146 absolute error = 4.440892098500626e-16 relative error = 7.922557586899678e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.898261028178561 y1[1] (numeric) = 1.89826102817856 absolute error = 6.661338147750939e-16 relative error = 3.50917921659209e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4560000000000003 y2[1] (analytic) = 0.5596396450468167 y2[1] (numeric) = 0.5596396450468162 absolute error = 5.551115123125783e-16 relative error = 9.919088421016712e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.897821116807522 y1[1] (numeric) = 1.897821116807522 absolute error = 4.440892098500626e-16 relative error = 2.339995091829839e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4570000000000003 y2[1] (analytic) = 0.5587420442598051 y2[1] (numeric) = 0.5587420442598047 absolute error = 4.440892098500626e-16 relative error = 7.948018489254212e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.897380307615441 y1[1] (numeric) = 1.897380307615441 absolute error = 6.661338147750939e-16 relative error = 3.510808097361708e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4580000000000003 y2[1] (analytic) = 0.5578448847307126 y2[1] (numeric) = 0.5578448847307121 absolute error = 4.440892098500626e-16 relative error = 7.960800968255486e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.896938601043128 y1[1] (numeric) = 1.896938601043127 absolute error = 6.661338147750939e-16 relative error = 3.511625597205869e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4590000000000003 y2[1] (analytic) = 0.5569481673566984 y2[1] (numeric) = 0.5569481673566979 absolute error = 4.440892098500626e-16 relative error = 7.973618298408817e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.896495997532288 y1[1] (numeric) = 1.896495997532287 absolute error = 8.881784197001252e-16 relative error = 4.683260185393584e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4600000000000003 y2[1] (analytic) = 0.55605189303448 y2[1] (numeric) = 0.5560518930344795 absolute error = 4.440892098500626e-16 relative error = 7.986470604867185e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.896052497525525 y1[1] (numeric) = 1.896052497525524 absolute error = 8.881784197001252e-16 relative error = 4.684355632870173e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4610000000000003 y2[1] (analytic) = 0.5551560626603315 y2[1] (numeric) = 0.5551560626603311 absolute error = 3.33066907387547e-16 relative error = 5.999518510010972e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.89560810146634 y1[1] (numeric) = 1.895608101466339 absolute error = 8.881784197001252e-16 relative error = 4.685453807741582e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4620000000000003 y2[1] (analytic) = 0.5542606771300833 y2[1] (numeric) = 0.554260677130083 absolute error = 3.33066907387547e-16 relative error = 6.009210487601976e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.895162809799127 y1[1] (numeric) = 1.895162809799126 absolute error = 8.881784197001252e-16 relative error = 4.686554712385188e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4630000000000003 y2[1] (analytic) = 0.5533657373391209 y2[1] (numeric) = 0.5533657373391205 absolute error = 3.33066907387547e-16 relative error = 6.018928981564908e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.894716622969179 y1[1] (numeric) = 1.894716622969179 absolute error = 8.881784197001252e-16 relative error = 4.68765834918509e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4640000000000003 y2[1] (analytic) = 0.5524712441823838 y2[1] (numeric) = 0.5524712441823835 absolute error = 3.33066907387547e-16 relative error = 6.028674087471487e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.894269541422683 y1[1] (numeric) = 1.894269541422682 absolute error = 8.881784197001252e-16 relative error = 4.688764720532129e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4650000000000003 y2[1] (analytic) = 0.5515771985543653 y2[1] (numeric) = 0.5515771985543649 absolute error = 3.33066907387547e-16 relative error = 6.038445901325973e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.893821565606721 y1[1] (numeric) = 1.893821565606719 absolute error = 1.110223024625157e-15 relative error = 5.862342286029868e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4660000000000003 y2[1] (analytic) = 0.5506836013491109 y2[1] (numeric) = 0.5506836013491105 absolute error = 3.33066907387547e-16 relative error = 6.048244519567529e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.893372695969266 y1[1] (numeric) = 1.893372695969265 absolute error = 1.110223024625157e-15 relative error = 5.863732095580921e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4670000000000003 y2[1] (analytic) = 0.5497904534602176 y2[1] (numeric) = 0.5497904534602174 absolute error = 2.220446049250313e-16 relative error = 4.038713359381717e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.892922932959191 y1[1] (numeric) = 1.89292293295919 absolute error = 8.881784197001252e-16 relative error = 4.69210026586578e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4680000000000003 y2[1] (analytic) = 0.5488977557808334 y2[1] (numeric) = 0.5488977557808332 absolute error = 2.220446049250313e-16 relative error = 4.04528170477145e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.892472277026257 y1[1] (numeric) = 1.892472277026256 absolute error = 8.881784197001252e-16 relative error = 4.693217599444932e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4690000000000003 y2[1] (analytic) = 0.5480055092036559 y2[1] (numeric) = 0.5480055092036556 absolute error = 2.220446049250313e-16 relative error = 4.051868114386285e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.89202072862112 y1[1] (numeric) = 1.892020728621119 absolute error = 8.881784197001252e-16 relative error = 4.694337679626893e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4700000000000003 y2[1] (analytic) = 0.5471137146209314 y2[1] (numeric) = 0.5471137146209312 absolute error = 2.220446049250313e-16 relative error = 4.058472653694585e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.891568288195329 y1[1] (numeric) = 1.891568288195328 absolute error = 8.881784197001252e-16 relative error = 4.695460508843175e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4710000000000003 y2[1] (analytic) = 0.5462223729244546 y2[1] (numeric) = 0.5462223729244544 absolute error = 2.220446049250313e-16 relative error = 4.065095388462625e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.891114956201324 y1[1] (numeric) = 1.891114956201323 absolute error = 8.881784197001252e-16 relative error = 4.696586089532104e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4720000000000003 y2[1] (analytic) = 0.5453314850055671 y2[1] (numeric) = 0.5453314850055668 absolute error = 2.220446049250313e-16 relative error = 4.071736384756229e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.890660733092437 y1[1] (numeric) = 1.890660733092436 absolute error = 8.881784197001252e-16 relative error = 4.697714424138838e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4730000000000003 y2[1] (analytic) = 0.5444410517551567 y2[1] (numeric) = 0.5444410517551564 absolute error = 2.220446049250313e-16 relative error = 4.078395708942391e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.890205619322891 y1[1] (numeric) = 1.89020561932289 absolute error = 8.881784197001252e-16 relative error = 4.698845515115378e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4740000000000003 y2[1] (analytic) = 0.5435510740636565 y2[1] (numeric) = 0.5435510740636563 absolute error = 2.220446049250313e-16 relative error = 4.085073427690939e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.8897496153478 y1[1] (numeric) = 1.889749615347799 absolute error = 8.881784197001252e-16 relative error = 4.699979364920574e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4750000000000003 y2[1] (analytic) = 0.5426615528210442 y2[1] (numeric) = 0.5426615528210441 absolute error = 1.110223024625157e-16 relative error = 2.045884803988094e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.889292721623168 y1[1] (numeric) = 1.889292721623167 absolute error = 8.881784197001252e-16 relative error = 4.701115976020143e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4760000000000003 y2[1] (analytic) = 0.541772488916841 y2[1] (numeric) = 0.5417724889168409 absolute error = 1.110223024625157e-16 relative error = 2.0492421585393e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.888834938605888 y1[1] (numeric) = 1.888834938605888 absolute error = 8.881784197001252e-16 relative error = 4.70225535088668e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4770000000000003 y2[1] (analytic) = 0.5408838832401107 y2[1] (numeric) = 0.5408838832401106 absolute error = 1.110223024625157e-16 relative error = 2.052608811293242e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.888376266753744 y1[1] (numeric) = 1.888376266753743 absolute error = 8.881784197001252e-16 relative error = 4.703397491999666e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4780000000000003 y2[1] (analytic) = 0.539995736679459 y2[1] (numeric) = 0.5399957366794588 absolute error = 2.220446049250313e-16 relative error = 4.111969592397667e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.887916706525407 y1[1] (numeric) = 1.887916706525407 absolute error = 8.881784197001252e-16 relative error = 4.704542401845482e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4790000000000003 y2[1] (analytic) = 0.5391080501230322 y2[1] (numeric) = 0.539108050123032 absolute error = 2.220446049250313e-16 relative error = 4.118740294721207e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.887456258380438 y1[1] (numeric) = 1.887456258380437 absolute error = 8.881784197001252e-16 relative error = 4.705690082917423e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4800000000000003 y2[1] (analytic) = 0.5382208244585168 y2[1] (numeric) = 0.5382208244585166 absolute error = 2.220446049250313e-16 relative error = 4.125529798079103e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.886994922779284 y1[1] (numeric) = 1.886994922779283 absolute error = 8.881784197001252e-16 relative error = 4.706840537715705e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4810000000000003 y2[1] (analytic) = 0.5373340605731386 y2[1] (numeric) = 0.5373340605731384 absolute error = 2.220446049250313e-16 relative error = 4.132338171308014e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.886532700183281 y1[1] (numeric) = 1.886532700183281 absolute error = 6.661338147750939e-16 relative error = 3.530995326560613e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4820000000000003 y2[1] (analytic) = 0.5364477593536612 y2[1] (numeric) = 0.536447759353661 absolute error = 2.220446049250313e-16 relative error = 4.139165483561002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.886069591054652 y1[1] (numeric) = 1.886069591054651 absolute error = 8.881784197001252e-16 relative error = 4.709149778526855e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4830000000000003 y2[1] (analytic) = 0.5355619216863857 y2[1] (numeric) = 0.5355619216863856 absolute error = 1.110223024625157e-16 relative error = 2.073005902154636e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.885605595856506 y1[1] (numeric) = 1.885605595856505 absolute error = 8.881784197001252e-16 relative error = 4.710308569574882e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4840000000000003 y2[1] (analytic) = 0.53467654845715 y2[1] (numeric) = 0.5346765484571498 absolute error = 1.110223024625157e-16 relative error = 2.076438601671964e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.885140715052838 y1[1] (numeric) = 1.885140715052837 absolute error = 6.661338147750939e-16 relative error = 3.533602608314697e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4850000000000003 y2[1] (analytic) = 0.533791640551327 y2[1] (numeric) = 0.5337916405513269 absolute error = 1.110223024625157e-16 relative error = 2.079880875388873e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.884674949108528 y1[1] (numeric) = 1.884674949108527 absolute error = 8.881784197001252e-16 relative error = 4.712634505596009e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4860000000000003 y2[1] (analytic) = 0.5329071988538245 y2[1] (numeric) = 0.5329071988538244 absolute error = 1.110223024625157e-16 relative error = 2.083332758523475e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.884208298489343 y1[1] (numeric) = 1.884208298489342 absolute error = 8.881784197001252e-16 relative error = 4.713801655646135e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4870000000000003 y2[1] (analytic) = 0.5320232242490843 y2[1] (numeric) = 0.5320232242490842 absolute error = 1.110223024625157e-16 relative error = 2.086794286456504e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.883740763661933 y1[1] (numeric) = 1.883740763661933 absolute error = 8.881784197001252e-16 relative error = 4.71497159711899e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4880000000000003 y2[1] (analytic) = 0.5311397176210809 y2[1] (numeric) = 0.5311397176210808 absolute error = 1.110223024625157e-16 relative error = 2.090265494732213e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.883272345093834 y1[1] (numeric) = 1.883272345093833 absolute error = 8.881784197001252e-16 relative error = 4.716144332570614e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4890000000000003 y2[1] (analytic) = 0.5302566798533208 y2[1] (numeric) = 0.5302566798533207 absolute error = 1.110223024625157e-16 relative error = 2.093746419059286e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.882803043253462 y1[1] (numeric) = 1.882803043253461 absolute error = 8.881784197001252e-16 relative error = 4.717319864564075e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4900000000000003 y2[1] (analytic) = 0.5293741118288416 y2[1] (numeric) = 0.5293741118288415 absolute error = 1.110223024625157e-16 relative error = 2.097237095311749e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.882332858610121 y1[1] (numeric) = 1.88233285861012 absolute error = 8.881784197001252e-16 relative error = 4.718498195669491e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4910000000000003 y2[1] (analytic) = 0.5284920144302115 y2[1] (numeric) = 0.5284920144302113 absolute error = 2.220446049250313e-16 relative error = 4.201475119059774e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.881861791633995 y1[1] (numeric) = 1.881861791633994 absolute error = 8.881784197001252e-16 relative error = 4.719679328464031e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4920000000000003 y2[1] (analytic) = 0.5276103885395276 y2[1] (numeric) = 0.5276103885395275 absolute error = 1.110223024625157e-16 relative error = 2.104247847921176e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.881389842796151 y1[1] (numeric) = 1.88138984279615 absolute error = 8.881784197001252e-16 relative error = 4.720863265531935e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4930000000000003 y2[1] (analytic) = 0.5267292350384158 y2[1] (numeric) = 0.5267292350384156 absolute error = 2.220446049250313e-16 relative error = 4.21553599372241e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.880917012568537 y1[1] (numeric) = 1.880917012568537 absolute error = 8.881784197001252e-16 relative error = 4.722050009464527e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4940000000000003 y2[1] (analytic) = 0.5258485548080295 y2[1] (numeric) = 0.5258485548080294 absolute error = 1.110223024625157e-16 relative error = 2.111298042894619e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.880443301423985 y1[1] (numeric) = 1.880443301423984 absolute error = 8.881784197001252e-16 relative error = 4.723239562860221e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4950000000000003 y2[1] (analytic) = 0.524968348729049 y2[1] (numeric) = 0.5249683487290487 absolute error = 2.220446049250313e-16 relative error = 4.229676045472121e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.879968709836204 y1[1] (numeric) = 1.879968709836203 absolute error = 1.110223024625157e-15 relative error = 5.905539910405673e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4960000000000003 y2[1] (analytic) = 0.52408861768168 y2[1] (numeric) = 0.5240886176816798 absolute error = 2.220446049250313e-16 relative error = 4.236775946542238e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.879493238279787 y1[1] (numeric) = 1.879493238279786 absolute error = 1.110223024625157e-15 relative error = 5.90703388558765e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4970000000000003 y2[1] (analytic) = 0.5232093625456538 y2[1] (numeric) = 0.5232093625456535 absolute error = 2.220446049250313e-16 relative error = 4.243895863114574e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.879016887230205 y1[1] (numeric) = 1.879016887230204 absolute error = 1.110223024625157e-15 relative error = 5.908531382395923e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4980000000000003 y2[1] (analytic) = 0.5223305842002252 y2[1] (numeric) = 0.522330584200225 absolute error = 1.110223024625157e-16 relative error = 2.12551793482492e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.878539657163808 y1[1] (numeric) = 1.878539657163807 absolute error = 8.881784197001252e-16 relative error = 4.728025923291309e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4990000000000003 y2[1] (analytic) = 0.5214522835241726 y2[1] (numeric) = 0.5214522835241725 absolute error = 1.110223024625157e-16 relative error = 2.129098020478207e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.878061548557828 y1[1] (numeric) = 1.878061548557827 absolute error = 8.881784197001252e-16 relative error = 4.729229563227901e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000000000000003 y2[1] (analytic) = 0.5205744613957967 y2[1] (numeric) = 0.5205744613957966 absolute error = 1.110223024625157e-16 relative error = 2.132688226096143e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.877582561890373 y1[1] (numeric) = 1.877582561890372 absolute error = 8.881784197001252e-16 relative error = 4.730436028367757e-14 % Correct digits = 15 h = 0.001 Finished! diff ( y2 , x , 1 ) = m1 * y1 + 1.0; diff ( y1 , x , 1 ) = y2 - 1.0; Iterations = 400 Total Elapsed Time = 1 Seconds Elapsed Time(since restart) = 1 Seconds Time to Timeout = 2 Minutes 59 Seconds Percent Done = 100.3 %