##############ECHO OF PROBLEM################# ##############temp/diff0Bpostode.ode################# diff ( y , x , 1 ) = y; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=-5.0; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h=0.0001; glob_look_poles=false; glob_max_iter=1000000; glob_display_interval=0.1; glob_max_minutes=10; // 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_y (double x) { return(1.0 + exp(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 = 10 estimated_steps = 10000 step_error = 1e-14 est_needed_step_err = 1e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.858101891119569e-56 max_value3 = 2.858101891119569e-56 value3 = 2.858101891119569e-56 best_h = 0.001 START of Soultion x[1] = -5 y[1] (analytic) = 1.006737946999085 y[1] (numeric) = 1.006737946999085 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.999 y[1] (analytic) = 1.006744688316181 y[1] (numeric) = 1.00774518848289 absolute error = 0.001000500166708385 relative error = 0.09937973135788371 % Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.997999999999999 y[1] (analytic) = 1.006751436377966 y[1] (numeric) = 1.008753437711966 absolute error = 0.002002001334000081 relative error = 0.1988575592405181 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.996999999999999 y[1] (analytic) = 1.006758191191188 y[1] (numeric) = 1.009762695694565 absolute error = 0.003004504503376859 relative error = 0.2984335791519068 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.995999999999999 y[1] (analytic) = 1.006764952762601 y[1] (numeric) = 1.010772963439943 absolute error = 0.004008010677341689 relative error = 0.398107886686317 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.994999999999998 y[1] (analytic) = 1.006771721098968 y[1] (numeric) = 1.011784241958369 absolute error = 0.00501252085940096 relative error = 0.49788057752848 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.993999999999998 y[1] (analytic) = 1.006778496207056 y[1] (numeric) = 1.012796532261121 absolute error = 0.006018036054064924 relative error = 0.5977517474536167 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.992999999999998 y[1] (analytic) = 1.006785278093641 y[1] (numeric) = 1.01380983536049 absolute error = 0.007024557266848586 relative error = 0.6977214923275059 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.991999999999997 y[1] (analytic) = 1.006792066765505 y[1] (numeric) = 1.014824152269779 absolute error = 0.008032085504273256 relative error = 0.797789908106619 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.990999999999997 y[1] (analytic) = 1.006798862229437 y[1] (numeric) = 1.015839484003304 absolute error = 0.009040621773867663 relative error = 0.8979570908382116 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.989999999999997 y[1] (analytic) = 1.006805664492231 y[1] (numeric) = 1.016855831576398 absolute error = 0.01005016708416795 relative error = 0.9982231366603029 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.988999999999996 y[1] (analytic) = 1.00681247356069 y[1] (numeric) = 1.017873196005409 absolute error = 0.01106072244471945 relative error = 1.098588141801833 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -4.987999999999996 y[1] (analytic) = 1.006819289441623 y[1] (numeric) = 1.0188915783077 absolute error = 0.01207228886607759 relative error = 1.199052202582731 % Correct digits = 2 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.097e-10 Order of pole = 0.5 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = y; Iterations = 4257 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 2 Minutes 59 Seconds Expected Time Remaining = 1 Days 17 Hours 36 Minutes 59 Seconds Optimized Time Remaining = 1 Days 17 Hours 23 Minutes 7 Seconds Expected Total Time = 1 Days 17 Hours 26 Minutes 7 Seconds Time to Timeout = 0 Seconds Percent Done = 0.12 %