##############ECHO OF PROBLEM################# ##############temp/expt_c_linpostode.ode################# diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3)); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; /* 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(expt(7.2134752044448170367996234050095*2.0,(0.20000000000000000000000000000000*x+0.30000000000000000000000000000000))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 2.349285793594125 y[1] (numeric) = 2.349285793594125 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.2000000000000001 y[1] (analytic) = 2.478102941749142 y[1] (numeric) = 2.474988137608499 absolute error = 0.003114804140642136 relative error = 0.1256930891839217 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.3000000000000002 y[1] (analytic) = 2.613983452609555 y[1] (numeric) = 2.602445220953701 absolute error = 0.01153823165585344 relative error = 0.4414041582525992 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.4000000000000002 y[1] (analytic) = 2.757314627815112 y[1] (numeric) = 2.731681538877957 absolute error = 0.02563308893715543 relative error = 0.9296396094437369 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.5000000000000003 y[1] (analytic) = 2.908505005711986 y[1] (numeric) = 2.862721928570414 absolute error = 0.04578307714157237 relative error = 1.574110309305276 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.6000000000000004 y[1] (analytic) = 3.067985525813891 y[1] (numeric) = 2.99559157393446 absolute error = 0.07239395187943076 relative error = 2.359657543046124 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.7000000000000005 y[1] (analytic) = 3.236210757113481 y[1] (numeric) = 3.130316010427674 absolute error = 0.1058947466858071 relative error = 3.272183261026525 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.8000000000000006 y[1] (analytic) = 3.413660193745101 y[1] (numeric) = 3.266921129969338 absolute error = 0.1467390637757631 relative error = 4.298584377104527 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.9000000000000007 y[1] (analytic) = 3.600839621691924 y[1] (numeric) = 3.405433185916459 absolute error = 0.1954064357754648 relative error = 5.426690891710676 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.000000000000001 y[1] (analytic) = 3.798282560433023 y[1] (numeric) = 3.545878798109249 absolute error = 0.2524037623237745 relative error = 6.645207624969301 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.104999999999998 y[1] (analytic) = 4.017259947258488 y[1] (numeric) = 3.695457219656439 absolute error = 0.3218027276020492 relative error = 8.010502975334173 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.204999999999996 y[1] (analytic) = 4.237536241958034 y[1] (numeric) = 3.839951416486844 absolute error = 0.3975848254711902 relative error = 9.382452509420393 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304999999999994 y[1] (analytic) = 4.469890830480632 y[1] (numeric) = 3.986462677137681 absolute error = 0.4834281533429512 relative error = 10.8152116388706 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404999999999992 y[1] (analytic) = 4.714985995537522 y[1] (numeric) = 4.135019158770585 absolute error = 0.5799668367669373 relative error = 12.30049966883983 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.50499999999999 y[1] (analytic) = 4.973520334438353 y[1] (numeric) = 4.285649411606522 absolute error = 0.6878709228318316 relative error = 13.83066473195612 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.604999999999988 y[1] (analytic) = 5.246230750310389 y[1] (numeric) = 4.438382384412688 absolute error = 0.8078483658977005 relative error = 15.39864341365284 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.704999999999986 y[1] (analytic) = 5.53389455250119 y[1] (numeric) = 4.593247430066014 absolute error = 0.940647122435176 relative error = 16.99792277411621 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.804999999999984 y[1] (analytic) = 5.837331672151574 y[1] (numeric) = 4.750274311194318 absolute error = 1.087057360957256 relative error = 18.62250463072589 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.904999999999981 y[1] (analytic) = 6.157406999253906 y[1] (numeric) = 4.909493205896225 absolute error = 1.247913793357681 relative error = 20.26687197238856 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.004999999999979 y[1] (analytic) = 6.495032847857086 y[1] (numeric) = 5.070934713540914 absolute error = 1.424098134316172 relative error = 21.92595738428062 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.104999999999977 y[1] (analytic) = 6.851171556444805 y[1] (numeric) = 5.234629860648838 absolute error = 1.616541695795967 relative error = 23.59511336824296 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.204999999999975 y[1] (analytic) = 7.22683823089899 y[1] (numeric) = 5.400610106854544 absolute error = 1.826228124044445 relative error = 25.27008445043428 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.304999999999973 y[1] (analytic) = 7.623103637866698 y[1] (numeric) = 5.568907350952704 absolute error = 2.054196286913994 relative error = 26.94698097386558 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.404999999999971 y[1] (analytic) = 8.04109725677748 y[1] (numeric) = 5.739553937028568 absolute error = 2.301543319748911 relative error = 28.62225447912651 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.504999999999969 y[1] (analytic) = 8.482010499210398 y[1] (numeric) = 5.912582660673996 absolute error = 2.569427838536402 relative error = 30.29267458199437 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.604999999999967 y[1] (analytic) = 8.947100104786898 y[1] (numeric) = 6.088026775290247 absolute error = 2.859073329496651 relative error = 31.95530726170129 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.704999999999965 y[1] (analytic) = 9.43769172326888 y[1] (numeric) = 6.265919998478761 absolute error = 3.171771724790119 relative error = 33.60749447844361 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.804999999999962 y[1] (analytic) = 9.955183693072069 y[1] (numeric) = 6.44629651852116 absolute error = 3.508887174550908 relative error = 35.24683504326278 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.90499999999996 y[1] (analytic) = 10.50105102696461 y[1] (numeric) = 6.629191000949685 absolute error = 3.871860026014922 relative error = 36.87116666772456 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.004999999999958 y[1] (analytic) = 11.07684961631136 y[1] (numeric) = 6.814638595209379 absolute error = 4.262211021101976 relative error = 38.47854912488478 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.104999999999956 y[1] (analytic) = 11.68422066584731 y[1] (numeric) = 7.00267494141325 absolute error = 4.681545724434065 relative error = 40.0672484568706 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.204999999999954 y[1] (analytic) = 12.32489537162062 y[1] (numeric) = 7.193336177191747 absolute error = 5.131559194428875 relative error = 41.63572216803425 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.304999999999952 y[1] (analytic) = 13.00069985543873 y[1] (numeric) = 7.386658944637834 absolute error = 5.614040910800896 relative error = 43.18260534606767 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.40499999999995 y[1] (analytic) = 13.71356036988248 y[1] (numeric) = 7.58268039734904 absolute error = 6.130879972533445 relative error = 44.70669765670768 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.504999999999947 y[1] (analytic) = 14.46550878872397 y[1] (numeric) = 7.781438207567777 absolute error = 6.684070581156193 relative error = 46.20695116072587 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.604999999999945 y[1] (analytic) = 15.25868839839756 y[1] (numeric) = 7.982970573421373 absolute error = 7.275717824976189 relative error = 47.68245890479204 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.704999999999943 y[1] (analytic) = 16.09536000703163 y[1] (numeric) = 8.187316226263139 absolute error = 7.908043780768494 relative error = 49.13244424053691 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.804999999999941 y[1] (analytic) = 16.97790838845358 y[1] (numeric) = 8.39451443811593 absolute error = 8.583393950337651 relative error = 50.55625082872451 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.904999999999939 y[1] (analytic) = 17.90884907953559 y[1] (numeric) = 8.604605029219616 absolute error = 9.304244050315976 relative error = 51.95333328788793 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.004999999999937 y[1] (analytic) = 18.89083555025567 y[1] (numeric) = 8.817628375683883 absolute error = 10.07320717457179 relative error = 53.32324844908968 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.104999999999935 y[1] (analytic) = 19.92666676691083 y[1] (numeric) = 9.033625417247926 absolute error = 10.89304134966291 relative error = 54.66564718064797 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.204999999999933 y[1] (analytic) = 21.01929517003997 y[1] (numeric) = 9.252637665148383 absolute error = 11.76665750489159 relative error = 55.98026674873139 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.30499999999993 y[1] (analytic) = 22.17183508979602 y[1] (numeric) = 9.474707210097176 absolute error = 12.69712787969885 relative error = 57.26692368166832 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.404999999999928 y[1] (analytic) = 23.38757162275367 y[1] (numeric) = 9.699876730370663 absolute error = 13.68769489238301 relative error = 58.52550710765673 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.504999999999926 y[1] (analytic) = 24.66996999545449 y[1] (numeric) = 9.92818950001174 absolute error = 14.74178049544275 relative error = 59.75597253729519 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.604999999999924 y[1] (analytic) = 26.02268544137832 y[1] (numeric) = 10.15968939714643 absolute error = 15.8629960442319 relative error = 60.95833606399576 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.704999999999922 y[1] (analytic) = 27.44957361949348 y[1] (numeric) = 10.39442091241655 absolute error = 17.05515270707692 relative error = 62.13266895688721 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.80499999999992 y[1] (analytic) = 28.95470160408177 y[1] (numeric) = 10.63242915753019 absolute error = 18.32227244655159 relative error = 63.27909262227962 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.904999999999918 y[1] (analytic) = 30.54235947716284 y[1] (numeric) = 10.87375987393134 absolute error = 19.6685996032315 relative error = 64.39777391114175 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.004999999999916 y[1] (analytic) = 32.21707255655972 y[1] (numeric) = 11.1184594415908 absolute error = 21.09861311496892 relative error = 65.48892075134563 % Correct digits = 0 h = 0.005 Finished! diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3)); Iterations = 981 Total Elapsed Time = 1 Minutes 7 Seconds Elapsed Time(since restart) = 1 Minutes 6 Seconds Time to Timeout = 8 Minutes 53 Seconds Percent Done = 100.2 %