##############ECHO OF PROBLEM################# ##############temp/sing4postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = -2.0; x_end = 1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.1; glob_look_poles = true; glob_max_iter = 50; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.005 ; glob_display_interval = 0.1; glob_look_poles = true; glob_max_iter = 10000; glob_max_minutes = 10; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0 / (x * x + 1.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -2 y[1] (analytic) = 0.2 y[1] (numeric) = 0.2 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.895000000000002 y[1] (analytic) = 0.2178162828562245 y[1] (numeric) = 0.2178162828562163 absolute error = 8.243405957841787e-15 relative error = 3.784568283760067e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.162 Order of pole = 3.529 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.795000000000004 y[1] (analytic) = 0.2368531687993312 y[1] (numeric) = 0.2368531687993032 absolute error = 2.794986464493832e-14 relative error = 1.180050272775461e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.072 Order of pole = 3.52 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.695000000000007 y[1] (analytic) = 0.2581961128575195 y[1] (numeric) = 0.2581961128574524 absolute error = 6.705747068735946e-14 relative error = 2.597152604089118e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.987 Order of pole = 3.562 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.595000000000009 y[1] (analytic) = 0.282165052447427 y[1] (numeric) = 0.2821650524472898 absolute error = 1.371125435412068e-13 relative error = 4.859302821236293e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.904 Order of pole = 3.61 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.495000000000011 y[1] (analytic) = 0.309116621973552 y[1] (numeric) = 0.3091166219732976 absolute error = 2.543520949416234e-13 relative error = 8.228353859385333e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.819 Order of pole = 3.596 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.395000000000013 y[1] (analytic) = 0.3394404324471068 y[1] (numeric) = 0.3394404324466653 absolute error = 4.414801857421935e-13 relative error = 1.300611664201161e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.733 Order of pole = 3.554 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.295000000000015 y[1] (analytic) = 0.3735489956201326 y[1] (numeric) = 0.3735489956194062 absolute error = 7.264189250122399e-13 relative error = 1.94464162273092e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.653 Order of pole = 3.58 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.195000000000017 y[1] (analytic) = 0.411857373791449 y[1] (numeric) = 0.411857373790312 absolute error = 1.137090421821085e-12 relative error = 2.760883971442187e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 3.622 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.095000000000019 y[1] (analytic) = 0.4547469901433502 y[1] (numeric) = 0.4547469901416627 absolute error = 1.687538997430238e-12 relative error = 3.7109404438241e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.498 Order of pole = 3.579 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.9950000000000213 y[1] (analytic) = 0.5025062499214726 y[1] (numeric) = 0.5025062499191256 absolute error = 2.347011474057581e-12 relative error = 4.670611508661537e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.426 Order of pole = 3.599 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.8950000000000212 y[1] (analytic) = 0.555239377576646 y[1] (numeric) = 0.5552393775736599 absolute error = 2.986055847031821e-12 relative error = 5.377961231900599e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.358 Order of pole = 3.616 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.7950000000000211 y[1] (analytic) = 0.6127357117691086 y[1] (numeric) = 0.6127357117658087 absolute error = 3.299915896093353e-12 relative error = 5.385545240321864e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.291 Order of pole = 3.591 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.695000000000021 y[1] (analytic) = 0.674297466327257 y[1] (numeric) = 0.6742974663245013 absolute error = 2.755684569422101e-12 relative error = 4.086749108567292e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.232 Order of pole = 3.622 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.595000000000021 y[1] (analytic) = 0.738538800982243 y[1] (numeric) = 0.738538800981573 absolute error = 6.70019595361282e-13 relative error = 9.072232826090765e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.177 Order of pole = 3.605 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.4950000000000209 y[1] (analytic) = 0.803196722957357 y[1] (numeric) = 0.8031967229607715 absolute error = 3.414490912234669e-12 relative error = 4.251126548005039e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.128 Order of pole = 3.605 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.3950000000000208 y[1] (analytic) = 0.8650331956488707 y[1] (numeric) = 0.865033195657866 absolute error = 8.995248990117943e-12 relative error = 1.039873271380124e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.088 Order of pole = 3.632 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.2950000000000207 y[1] (analytic) = 0.9199420436512397 y[1] (numeric) = 0.9199420436651735 absolute error = 1.393385407055803e-11 relative error = 1.514644772104851e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.055 Order of pole = 3.61 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.1950000000000206 y[1] (analytic) = 0.9633679342982995 y[1] (numeric) = 0.963367934313199 absolute error = 1.489952605737699e-11 relative error = 1.546608053570887e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.03 Order of pole = 3.601 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.09500000000002051 y[1] (analytic) = 0.9910557221079717 y[1] (numeric) = 0.991055722117603 absolute error = 9.631295760925696e-12 relative error = 9.718218205168087e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.016 Order of pole = 3.618 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.004999999999979504 y[1] (analytic) = 0.9999750006249846 y[1] (numeric) = 0.9999750006245586 absolute error = 4.259925745486726e-13 relative error = 4.260032243630362e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 3.632 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.1049999999999795 y[1] (analytic) = 0.9890952251428048 y[1] (numeric) = 0.9890952251325194 absolute error = 1.028543916703484e-11 relative error = 1.039883613385135e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 3.625 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.2049999999999796 y[1] (analytic) = 0.9596698735635019 y[1] (numeric) = 0.9596698735483868 absolute error = 1.511502034645673e-11 relative error = 1.575022907651645e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.032 Order of pole = 3.604 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.3049999999999797 y[1] (analytic) = 0.9148921570869938 y[1] (numeric) = 0.9148921570732237 absolute error = 1.377009617442582e-11 relative error = 1.505105937105161e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.057 Order of pole = 3.604 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.4049999999999798 y[1] (analytic) = 0.8590880780052096 y[1] (numeric) = 0.8590880779965258 absolute error = 8.683831431710587e-12 relative error = 1.010819688229677e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.092 Order of pole = 3.629 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.5049999999999798 y[1] (analytic) = 0.7967968765562569 y[1] (numeric) = 0.7967968765530987 absolute error = 3.15814041584872e-12 relative error = 3.963545175400476e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.133 Order of pole = 3.612 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.6049999999999799 y[1] (analytic) = 0.7320510239563828 y[1] (numeric) = 0.7320510239571707 absolute error = 7.879252805764736e-13 relative error = 1.076325631399458e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.182 Order of pole = 3.599 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.70499999999998 y[1] (analytic) = 0.6679915165077529 y[1] (numeric) = 0.6679915165104985 absolute error = 2.745581539898012e-12 relative error = 4.110204204765744e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.238 Order of pole = 3.626 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.8049999999999801 y[1] (analytic) = 0.6067869116063285 y[1] (numeric) = 0.6067869116095371 absolute error = 3.208655563469165e-12 relative error = 5.287944584986167e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.297 Order of pole = 3.586 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.9049999999999802 y[1] (analytic) = 0.5497450557304159 y[1] (numeric) = 0.5497450557332739 absolute error = 2.85804713229254e-12 relative error = 5.198859184818336e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.365 Order of pole = 3.62 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.00499999999998 y[1] (analytic) = 0.4975062499222745 y[1] (numeric) = 0.4975062499244846 absolute error = 2.210065463970068e-12 relative error = 4.442286834216347e-10 % Correct digits = 11 h = 0.005 Finished! diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); Iterations = 601 Total Elapsed Time = 27 Seconds Elapsed Time(since restart) = 27 Seconds Time to Timeout = 9 Minutes 33 Seconds Percent Done = 100.3 %