##############ECHO OF PROBLEM################# ##############temp/mtest8postode.ode################# diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 5.1; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[3 + 1] = exact_soln_y2ppp(x_start); glob_h = 0.00001; glob_look_poles = true; glob_max_iter = 20; // 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_y1 (double x) { return(1.0 + sin(x)); } double exact_soln_y2 (double x) { return(1.0 + sin(x)); } double exact_soln_y2p (double x) { return( cos(x)); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y2ppp (double x) { return( -cos(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.099833416646828 y2[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 y1[1] (analytic) = 1.099833416646828 y1[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 x[1] = 0.1 y2[1] (analytic) = 1.099833416646828 y2[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 y1[1] (analytic) = 1.099833416646828 y1[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2000000000000001 y2[1] (analytic) = 1.198669330795061 y2[1] (numeric) = 1.19866924803642 absolute error = 8.275864171736202e-08 relative error = 6.904209492243314e-06 % Correct digits = 7 h = 0.005 y1[1] (analytic) = 1.198669330795061 y1[1] (numeric) = 1.099833416646828 absolute error = 0.09883591414823312 relative error = 8.245469505979315 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3000000000000002 y2[1] (analytic) = 1.29552020666134 y2[1] (numeric) = 1.295517564710236 absolute error = 2.641951104109808e-06 relative error = 0.0002039297488781228 % Correct digits = 5 h = 0.005 y1[1] (analytic) = 1.29552020666134 y1[1] (numeric) = 1.099833416646828 absolute error = 0.1956867900145116 relative error = 15.10488134483153 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.4000000000000002 y2[1] (analytic) = 1.389418342308651 y2[1] (numeric) = 1.389398337515496 absolute error = 2.000479315489301e-05 relative error = 0.00143979624751845 % Correct digits = 4 h = 0.005 y1[1] (analytic) = 1.389418342308651 y1[1] (numeric) = 1.099833416646828 absolute error = 0.2895849256618226 relative error = 20.84216947795936 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000000000000003 y2[1] (analytic) = 1.479425538604203 y2[1] (numeric) = 1.479341520641084 absolute error = 8.401796311963139e-05 relative error = 0.005679093737890992 % Correct digits = 4 h = 0.005 y1[1] (analytic) = 1.479425538604203 y1[1] (numeric) = 1.099833416646828 absolute error = 0.379592121957375 relative error = 25.65807552000958 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6000000000000004 y2[1] (analytic) = 1.564642473395036 y2[1] (numeric) = 1.564387051617547 absolute error = 0.000255421777489051 relative error = 0.01632460973239623 % Correct digits = 3 h = 0.005 y1[1] (analytic) = 1.564642473395036 y1[1] (numeric) = 1.099833416646828 absolute error = 0.4648090567482075 relative error = 29.70704583646145 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.7000000000000005 y2[1] (analytic) = 1.644217687237691 y2[1] (numeric) = 1.643584851317099 absolute error = 0.0006328359205924894 relative error = 0.03848857274219343 % Correct digits = 3 h = 0.005 y1[1] (analytic) = 1.644217687237691 y1[1] (numeric) = 1.099833416646828 absolute error = 0.5443842705908633 relative error = 33.10901438515945 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.8000000000000006 y2[1] (analytic) = 1.717356090899523 y2[1] (numeric) = 1.715994823953618 absolute error = 0.001361266945905548 relative error = 0.07926527020919341 % Correct digits = 3 h = 0.005 y1[1] (analytic) = 1.717356090899523 y1[1] (numeric) = 1.099833416646828 absolute error = 0.6175226742526949 relative error = 35.95775375444976 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.9000000000000007 y2[1] (analytic) = 1.783326909627484 y2[1] (numeric) = 1.780686857082645 absolute error = 0.002640052544838456 relative error = 0.1480408628718518 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 1.783326909627484 y1[1] (numeric) = 1.099833416646828 absolute error = 0.6834934929806555 relative error = 38.32687598054746 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.000000000000001 y2[1] (analytic) = 1.841470984807897 y2[1] (numeric) = 1.836740821601389 absolute error = 0.004730163206507765 relative error = 0.256868734046397 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 1.841470984807897 y1[1] (numeric) = 1.099833416646828 absolute error = 0.7416375681610687 relative error = 40.27419244069364 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.104999999999998 y2[1] (analytic) = 1.893464191149863 y2[1] (numeric) = 1.885305029434844 absolute error = 0.008159161715019181 relative error = 0.4309118573858154 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 1.893464191149863 y1[1] (numeric) = 1.099833416646828 absolute error = 0.7936307745030347 relative error = 41.91422146838059 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.204999999999996 y2[1] (analytic) = 1.933839216726195 y2[1] (numeric) = 1.920816533764436 absolute error = 0.01302268296175879 relative error = 0.6734108424900468 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 1.933839216726195 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8340058000793669 relative error = 43.12694627691225 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.304999999999994 y2[1] (analytic) = 1.964883629535204 y2[1] (numeric) = 1.944945235334183 absolute error = 0.01993839420102117 relative error = 1.014736644008665 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.964883629535204 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8650502128883757 relative error = 44.02551885950643 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.404999999999992 y2[1] (analytic) = 1.98628724406602 y2[1] (numeric) = 1.956811437575033 absolute error = 0.02947580649098747 relative error = 1.483964949130376 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.98628724406602 y1[1] (numeric) = 1.099833416646828 absolute error = 0.886453827419192 relative error = 44.62868248625414 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.50499999999999 y2[1] (analytic) = 1.997836202477346 y2[1] (numeric) = 1.9555454272596 absolute error = 0.0422907752177466 relative error = 2.116828955512239 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.997836202477346 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8980027858305182 relative error = 44.94876930936488 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.604999999999988 y2[1] (analytic) = 1.999415111394314 y2[1] (numeric) = 1.940287474502162 absolute error = 0.05912763689215228 relative error = 2.957246674549687 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.999415111394314 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8995816947474862 relative error = 44.99224246235455 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.704999999999986 y2[1] (analytic) = 1.991008194880944 y2[1] (numeric) = 1.910187832758663 absolute error = 0.08082036212228094 relative error = 4.05926818031574 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.991008194880944 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8911747782341155 relative error = 44.75997539966956 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.804999999999984 y2[1] (analytic) = 1.972699452068079 y2[1] (numeric) = 1.86440673882671 absolute error = 0.1082927132413694 relative error = 5.489569793707841 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.972699452068079 y1[1] (numeric) = 1.099833416646828 absolute error = 0.872866035421251 relative error = 44.24728939353544 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.904999999999981 y2[1] (analytic) = 1.944671817861841 y2[1] (numeric) = 1.802114412845576 absolute error = 0.1425574050162655 relative error = 7.330666475796762 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.944671817861841 y1[1] (numeric) = 1.099833416646828 absolute error = 0.844838401215013 relative error = 43.44375197167764 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.004999999999979 y2[1] (analytic) = 1.907205335118514 y2[1] (numeric) = 1.722491058296198 absolute error = 0.1847142768223158 relative error = 9.685075509231293 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 1.907205335118514 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8073719184716857 relative error = 42.33272126524937 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.104999999999977 y2[1] (analytic) = 1.860674356548896 y2[1] (numeric) = 1.624726862001178 absolute error = 0.2359474945477185 relative error = 12.68075167034302 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.860674356548896 y1[1] (numeric) = 1.099833416646828 absolute error = 0.7608409399020681 relative error = 40.89060169095065 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.204999999999975 y2[1] (analytic) = 1.80554380430976 y2[1] (numeric) = 1.508021994124782 absolute error = 0.2975218101849779 relative error = 16.47823827230364 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.80554380430976 y1[1] (numeric) = 1.099833416646828 absolute error = 0.7057103876629314 relative error = 39.08575277866034 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.304999999999973 y2[1] (analytic) = 1.742364524655339 y2[1] (numeric) = 1.371586608172941 absolute error = 0.3707779164823986 relative error = 21.28015758101726 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.742364524655339 y1[1] (numeric) = 1.099833416646828 absolute error = 0.6425311080085112 relative error = 36.8769622496539 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.404999999999971 y2[1] (analytic) = 1.671767784063649 y2[1] (numeric) = 1.214640840993251 absolute error = 0.4571269430703979 relative error = 27.34392583874518 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.671767784063649 y1[1] (numeric) = 1.099833416646828 absolute error = 0.5719343674168211 relative error = 34.21135237015943 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.504999999999969 y2[1] (analytic) = 1.594458961830502 y2[1] (numeric) = 1.036414812774974 absolute error = 0.5580441490555281 relative error = 34.99896594484134 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.594458961830502 y1[1] (numeric) = 1.099833416646828 absolute error = 0.4946255451836736 relative error = 31.02152874576489 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.604999999999967 y2[1] (analytic) = 1.511210502152752 y2[1] (numeric) = 0.8361486270490334 absolute error = 0.6750618751037182 relative error = 44.67027420349965 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.511210502152752 y1[1] (numeric) = 1.099833416646828 absolute error = 0.4113770855059233 relative error = 27.22169313407417 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.704999999999965 y2[1] (analytic) = 1.422854196121216 y2[1] (numeric) = 0.6130923706880204 absolute error = 0.8097618254331959 relative error = 56.91108952980944 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.422854196121216 y1[1] (numeric) = 1.099833416646828 absolute error = 0.323020779474388 relative error = 22.70231063414379 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.804999999999962 y2[1] (analytic) = 1.330272870739051 y2[1] (numeric) = 0.3665061139061889 absolute error = 0.9637667568328625 relative error = 72.44880189862315 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.330272870739051 y1[1] (numeric) = 1.099833416646828 absolute error = 0.2304394540922232 relative error = 17.32272071099213 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.90499999999996 y2[1] (analytic) = 1.234391568006158 y2[1] (numeric) = 0.09565991025945825 absolute error = 1.1387316577467 relative error = 92.25044040004485 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.234391568006158 y1[1] (numeric) = 1.099833416646828 absolute error = 0.1345581513593299 relative error = 10.90076721576071 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.004999999999958 y2[1] (analytic) = 1.136168302205299 y2[1] (numeric) = -0.2001662033545875 absolute error = 1.336334505559886 relative error = 117.6176542653114 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.136168302205299 y1[1] (numeric) = 1.099833416646828 absolute error = 0.03633488555847042 relative error = 3.198019649724828 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.104999999999956 y2[1] (analytic) = 1.03658448774006 y2[1] (numeric) = -0.5216822066966995 absolute error = 1.55826669443676 relative error = 150.3270319850204 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.03658448774006 y1[1] (numeric) = 1.099833416646828 absolute error = 0.06324892890676814 relative error = 6.101666545740246 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.204999999999954 y2[1] (analytic) = 0.9366351331665469 y2[1] (numeric) = -0.8695880961859648 absolute error = 1.806223229352512 relative error = 192.8417123588017 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 0.9366351331665469 y1[1] (numeric) = 1.099833416646828 absolute error = 0.1631982834802813 relative error = 17.42389087291074 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.304999999999952 y2[1] (analytic) = 0.8373188993967933 y2[1] (numeric) = -1.244573884899805 absolute error = 2.081892784296598 relative error = 248.6379784089908 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 0.8373188993967933 y1[1] (numeric) = 1.099833416646828 absolute error = 0.2625145172500349 relative error = 31.35179648269627 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.40499999999995 y2[1] (analytic) = 0.7396281214090444 y2[1] (numeric) = -1.647319602573978 absolute error = 2.386947723983022 relative error = 322.722683858439 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 0.7396281214090444 y1[1] (numeric) = 1.099833416646828 absolute error = 0.3602052952377838 relative error = 48.70086531479725 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.504999999999947 y2[1] (analytic) = 0.6445388931646763 y2[1] (numeric) = -2.078495295602576 absolute error = 2.723034188767252 relative error = 422.4778702487906 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 0.6445388931646763 y1[1] (numeric) = 1.099833416646828 absolute error = 0.4552945234821519 relative error = 70.63879748926595 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.604999999999945 y2[1] (analytic) = 0.5530013147999866 y2[1] (numeric) = -2.538761027038026 absolute error = 3.091762341838012 relative error = 559.0877017998163 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 0.5530013147999866 y1[1] (numeric) = 1.099833416646828 absolute error = 0.5468321018468416 relative error = 98.88441260661807 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.704999999999943 y2[1] (analytic) = 0.4659299995396949 y2[1] (numeric) = -3.028766876591092 absolute error = 3.494696876130787 relative error = 750.0476207978226 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 0.4659299995396949 y1[1] (numeric) = 1.099833416646828 absolute error = 0.6339034171071334 relative error = 136.0512132151576 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.804999999999941 y2[1] (analytic) = 0.3841949351839317 y2[1] (numeric) = -3.549152940630873 absolute error = 3.933347875814804 relative error = 1023.78962229987 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 0.3841949351839317 y1[1] (numeric) = 1.099833416646828 absolute error = 0.7156384814628965 relative error = 186.2696292756404 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.904999999999939 y2[1] (analytic) = 0.3086127914777196 y2[1] (numeric) = -4.100549332184802 absolute error = 4.409162123662522 relative error = 1428.703620012084 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 0.3086127914777196 y1[1] (numeric) = 1.099833416646828 absolute error = 0.7912206251691086 relative error = 256.3797246966126 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.004999999999937 y2[1] (analytic) = 0.2399387602168361 y2[1] (numeric) = -4.683576180938651 absolute error = 4.923514941155487 relative error = 2051.988155938639 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 0.2399387602168361 y1[1] (numeric) = 1.099833416646828 absolute error = 0.8598946564299921 relative error = 358.3808867116313 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.104999999999935 y2[1] (analytic) = 0.1788590096210234 y2[1] (numeric) = -5.298843633236521 absolute error = 5.477702642857544 relative error = 3062.581334014994 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 0.1788590096210234 y1[1] (numeric) = 1.099833416646828 absolute error = 0.9209744070258048 relative error = 514.9164187911014 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.204999999999933 y2[1] (analytic) = 0.1259838283679535 y2[1] (numeric) = -5.946951852080852 absolute error = 6.072935680448805 relative error = 4820.40890415867 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 0.1259838283679535 y1[1] (numeric) = 1.099833416646828 absolute error = 0.9738495882788747 relative error = 772.9957097625341 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.30499999999993 y2[1] (analytic) = 0.08184152779049592 y2[1] (numeric) = -6.628491017132422 absolute error = 6.710332544922918 relative error = 8199.178004228526 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 0.08184152779049592 y1[1] (numeric) = 1.099833416646828 absolute error = 1.017991888856332 relative error = 1243.857386756348 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.404999999999928 y2[1] (analytic) = 0.0468731631645161 y2[1] (numeric) = -7.344041324710338 absolute error = 7.390914487874855 relative error = 15767.90211903156 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 0.0468731631645161 y1[1] (numeric) = 1.099833416646828 absolute error = 1.052960253482312 relative error = 2246.403234589945 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.504999999999926 y2[1] (analytic) = 0.02142812683035223 y2[1] (numeric) = -8.094172987792049 absolute error = 8.115601114622402 relative error = 37873.59099968982 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 0.02142812683035223 y1[1] (numeric) = 1.099833416646828 absolute error = 1.078405289816476 relative error = 5032.66243640555 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.604999999999924 y2[1] (analytic) = 0.00576065718004454 y2[1] (numeric) = -8.879446236013335 absolute error = 8.885206893193379 relative error = 154239.4663576332 % Correct digits = -3 h = 0.005 y1[1] (analytic) = 0.00576065718004454 y1[1] (numeric) = 1.099833416646828 absolute error = 1.094072759466784 relative error = 18992.15185477023 % Correct digits = -2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.704999999999922 y2[1] (analytic) = 2.729839136197677e-05 y2[1] (numeric) = -9.700411315668312 absolute error = 9.700438614059674 relative error = 35534836.04741327 % Correct digits = -5 h = 0.005 y1[1] (analytic) = 2.729839136197677e-05 y1[1] (numeric) = 1.099833416646828 absolute error = 1.099806118255466 relative error = 4028831.236507796 % Correct digits = -4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.80499999999992 y2[1] (analytic) = 0.004285336290124616 y2[1] (numeric) = -10.55760848970943 absolute error = 10.56189382599955 relative error = 246465.9273144796 % Correct digits = -3 h = 0.005 y1[1] (analytic) = 0.004285336290124616 y1[1] (numeric) = 1.099833416646828 absolute error = 1.095548080356704 relative error = 25565.04335217168 % Correct digits = -2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.904999999999918 y2[1] (analytic) = 0.01849222596916822 y2[1] (numeric) = -11.45156803774748 absolute error = 11.47006026371665 relative error = 62026.39034824954 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 0.01849222596916822 y1[1] (numeric) = 1.099833416646828 absolute error = 1.08134119067766 relative error = 5847.544760055184 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.004999999999916 y2[1] (analytic) = 0.04250601688299314 y2[1] (numeric) = -12.38281025605158 absolute error = 12.42531627293458 relative error = 29231.89982053107 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 0.04250601688299314 y1[1] (numeric) = 1.099833416646828 absolute error = 1.057327399763835 relative error = 2487.477014546796 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.104999999999913 y2[1] (analytic) = 0.07608677117069236 y2[1] (numeric) = -13.3518454575492 absolute error = 13.42793222871989 relative error = 17648.18249232286 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 0.07608677117069236 y1[1] (numeric) = 1.099833416646828 absolute error = 1.023746645476136 relative error = 1345.498868889405 % Correct digits = -1 h = 0.005 Finished! diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; Iterations = 1001 Total Elapsed Time = 6 Minutes 36 Seconds Elapsed Time(since restart) = 6 Minutes 36 Seconds Time to Timeout = 3 Minutes 24 Seconds Percent Done = 100.2 %