##############ECHO OF PROBLEM################# ##############temp/div_c_exppostode.ode################# diff ( y , x , 1 ) = 2.0 / exp(x); ! /* 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(- 2.0/exp(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -1.809674836071919 y[1] (numeric) = -1.809674836071919 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) = -1.637461506155964 y[1] (numeric) = -1.63746150615599 absolute error = 2.642330798607873e-14 relative error = 1.61367506269561e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.3000000000000002 y[1] (analytic) = -1.481636441363435 y[1] (numeric) = -1.481636441363485 absolute error = 4.996003610813204e-14 relative error = 3.37194973836886e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.4000000000000002 y[1] (analytic) = -1.340640092071278 y[1] (numeric) = -1.340640092071349 absolute error = 7.127631818093505e-14 relative error = 5.316588590962822e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.5000000000000003 y[1] (analytic) = -1.213061319425266 y[1] (numeric) = -1.213061319425357 absolute error = 9.103828801926284e-14 relative error = 7.504838095274166e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.6000000000000004 y[1] (analytic) = -1.097623272188052 y[1] (numeric) = -1.097623272188161 absolute error = 1.083577672034153e-13 relative error = 9.872036239484059e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.7000000000000005 y[1] (analytic) = -0.9931706075828185 y[1] (numeric) = -0.9931706075829423 absolute error = 1.23789867245705e-13 relative error = 1.246410901617247e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.8000000000000006 y[1] (analytic) = -0.8986579282344427 y[1] (numeric) = -0.8986579282345809 absolute error = 1.38222766565832e-13 relative error = 1.538102121208598e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.9000000000000007 y[1] (analytic) = -0.8131393194811978 y[1] (numeric) = -0.8131393194813488 absolute error = 1.509903313490213e-13 relative error = 1.856881443703358e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.000000000000001 y[1] (analytic) = -0.7357588823428842 y[1] (numeric) = -0.7357588823430472 absolute error = 1.62980740014973e-13 relative error = 2.215137919857546e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.104999999999998 y[1] (analytic) = -0.6624217644839631 y[1] (numeric) = -0.6624217644841359 absolute error = 1.728617249341369e-13 relative error = 2.609541748206279e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.204999999999996 y[1] (analytic) = -0.5993839990264949 y[1] (numeric) = -0.5993839990266759 absolute error = 1.81077375316363e-13 relative error = 3.021057879597463e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304999999999994 y[1] (analytic) = -0.5423450700912029 y[1] (numeric) = -0.5423450700913915 absolute error = 1.886268918838141e-13 relative error = 3.477986659897062e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404999999999992 y[1] (analytic) = -0.4907341129058566 y[1] (numeric) = -0.490734112906052 absolute error = 1.953437411827963e-13 relative error = 3.980643204648612e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.50499999999999 y[1] (analytic) = -0.4440345876639033 y[1] (numeric) = -0.4440345876641048 absolute error = 2.015054789694659e-13 relative error = 4.538058173116652e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.604999999999988 y[1] (analytic) = -0.4017791098204691 y[1] (numeric) = -0.401779109820676 absolute error = 2.068900606388979e-13 relative error = 5.149348375313605e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.704999999999986 y[1] (analytic) = -0.3635447723507402 y[1] (numeric) = -0.3635447723509522 absolute error = 2.119970865521736e-13 relative error = 5.831388667243532e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.804999999999984 y[1] (analytic) = -0.3289489131543152 y[1] (numeric) = -0.3289489131545317 absolute error = 2.164379786506743e-13 relative error = 6.579683652857662e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.904999999999981 y[1] (analytic) = -0.2976452852442863 y[1] (numeric) = -0.2976452852445068 absolute error = 2.205458038417873e-13 relative error = 7.409685782886797e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.004999999999979 y[1] (analytic) = -0.2693205913910172 y[1] (numeric) = -0.2693205913912414 absolute error = 2.242095398230504e-13 relative error = 8.325005476374004e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.104999999999977 y[1] (analytic) = -0.2436913485381663 y[1] (numeric) = -0.2436913485383937 absolute error = 2.274291865944633e-13 relative error = 9.33267380884652e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.204999999999975 y[1] (analytic) = -0.2205010506089759 y[1] (numeric) = -0.2205010506092064 absolute error = 2.304822999121825e-13 relative error = 1.045266221070786e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.304999999999973 y[1] (analytic) = -0.1995176013072427 y[1] (numeric) = -0.1995176013074759 absolute error = 2.332301018981298e-13 relative error = 1.168970057629012e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.404999999999971 y[1] (analytic) = -0.1805309912195738 y[1] (numeric) = -0.1805309912198095 absolute error = 2.357281037035364e-13 relative error = 1.305748681215782e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.504999999999969 y[1] (analytic) = -0.163351195970592 y[1] (numeric) = -0.16335119597083 absolute error = 2.380040609040179e-13 relative error = 1.457008376889176e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.604999999999967 y[1] (analytic) = -0.1478062743951168 y[1] (numeric) = -0.1478062743953569 absolute error = 2.400857290751901e-13 relative error = 1.62432704604536e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.704999999999965 y[1] (analytic) = -0.1337406476931924 y[1] (numeric) = -0.1337406476934343 absolute error = 2.419453526414372e-13 relative error = 1.809063712600464e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.804999999999962 y[1] (analytic) = -0.1210135423451654 y[1] (numeric) = -0.1210135423454089 absolute error = 2.435829316027593e-13 relative error = 2.01285680000996e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.90499999999996 y[1] (analytic) = -0.1094975812029849 y[1] (numeric) = -0.10949758120323 absolute error = 2.451233660494267e-13 relative error = 2.238619002871131e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.004999999999958 y[1] (analytic) = -0.0990775086568919 y[1] (numeric) = -0.09907750865713835 absolute error = 2.464556336789769e-13 relative error = 2.487503339758567e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.104999999999956 y[1] (analytic) = -0.08964903711853769 y[1] (numeric) = -0.08964903711878536 absolute error = 2.476630012182568e-13 relative error = 2.762584063125926e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.204999999999954 y[1] (analytic) = -0.08111780327574772 y[1] (numeric) = -0.08111780327599649 absolute error = 2.48773224242882e-13 relative error = 3.066814117206983e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.304999999999952 y[1] (analytic) = -0.07339842367277663 y[1] (numeric) = -0.07339842367302639 absolute error = 2.497585471772368e-13 relative error = 3.402778079958573e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.40499999999995 y[1] (analytic) = -0.06641364016398479 y[1] (numeric) = -0.06641364016423548 absolute error = 2.506883589603603e-13 relative error = 3.774651688137781e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.504999999999947 y[1] (analytic) = -0.06009354668834943 y[1] (numeric) = -0.06009354668860092 absolute error = 2.514932706532136e-13 relative error = 4.185029583250934e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.604999999999945 y[1] (analytic) = -0.0543748896261096 y[1] (numeric) = -0.05437488962636185 absolute error = 2.522426711948356e-13 relative error = 4.638955093597363e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.704999999999943 y[1] (analytic) = -0.04920043473527939 y[1] (numeric) = -0.04920043473553233 absolute error = 2.529365605852263e-13 relative error = 5.140941577978721e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.804999999999941 y[1] (analytic) = -0.04451839433211704 y[1] (numeric) = -0.04451839433237058 absolute error = 2.535333054609623e-13 relative error = 5.695023579906047e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.904999999999939 y[1] (analytic) = -0.04028190898257957 y[1] (numeric) = -0.04028190898283365 absolute error = 2.54081478079371e-13 relative error = 6.307582845422042e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.004999999999937 y[1] (analytic) = -0.0364485785173569 y[1] (numeric) = -0.03644857851761149 absolute error = 2.545880173343562e-13 relative error = 6.984854490638662e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.104999999999935 y[1] (analytic) = -0.03298003767672624 y[1] (numeric) = -0.03298003767698129 absolute error = 2.550459843320141e-13 relative error = 7.733344237869021e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.204999999999933 y[1] (analytic) = -0.0298415721381377 y[1] (numeric) = -0.02984157213839315 absolute error = 2.554588485192966e-13 relative error = 8.560502353454051e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.30499999999993 y[1] (analytic) = -0.0270017710836064 y[1] (numeric) = -0.02700177108386223 absolute error = 2.558300793431556e-13 relative error = 9.47456663309311e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.404999999999928 y[1] (analytic) = -0.0244322128296885 y[1] (numeric) = -0.02443221282994466 absolute error = 2.561527379096873e-13 relative error = 1.048422178110803e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.504999999999926 y[1] (analytic) = -0.02210718037372044 y[1] (numeric) = -0.0221071803739769 absolute error = 2.564580492414592e-13 relative error = 1.160066751643822e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.604999999999924 y[1] (analytic) = -0.02000340400941248 y[1] (numeric) = -0.02000340400966923 absolute error = 2.567425438915194e-13 relative error = 1.283494268129118e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.704999999999922 y[1] (analytic) = -0.01809982843580699 y[1] (numeric) = -0.01809982843606398 absolute error = 2.569888746251081e-13 relative error = 1.419841494832656e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.80499999999992 y[1] (analytic) = -0.01637740202874947 y[1] (numeric) = -0.01637740202900668 absolute error = 2.572074497830812e-13 relative error = 1.57050214271818e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.904999999999918 y[1] (analytic) = -0.01481888616583059 y[1] (numeric) = -0.014818886166088 absolute error = 2.574121471532465e-13 relative error = 1.737054622545031e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.004999999999916 y[1] (analytic) = -0.01340868269645898 y[1] (numeric) = -0.01340868269671658 absolute error = 2.575960278417e-13 relative error = 1.92111360730258e-09 % Correct digits = 10 h = 0.005 Finished! diff ( y , x , 1 ) = 2.0 / exp(x); Iterations = 981 Total Elapsed Time = 31 Seconds Elapsed Time(since restart) = 31 Seconds Time to Timeout = 9 Minutes 29 Seconds Percent Done = 100.2 %