##############ECHO OF PROBLEM################# ##############temp/mtest6postode.ode################# diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1; diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ /* # */ /* # was complicated.ode */ /* # */ t_start = 0.5; t_end = 5.0; array_x1_init[0 + 1] = exact_soln_x1(t_start); array_x1_init[1 + 1] = exact_soln_x1p(t_start); array_x2_init[0 + 1] = exact_soln_x2(t_start); array_x2_init[1 + 1] = exact_soln_x2p(t_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; /* 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_x1 (double t) { double c1,c2,c3; c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return(2.0 * c1 + 6.0 * c3 * exp(-t)); } double exact_soln_x1p (double t) { double c1,c2,c3; c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return( - 6.0 * c3 * exp(-t)); } double exact_soln_x2 (double t) { double c1,c2,c3; c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t)); } double exact_soln_x2p (double t) { double c1,c2,c3; c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion t[1] = 0.5 x1[1] (analytic) = 2.001091755187483 x1[1] (numeric) = 2.001091755187483 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 x2[1] (analytic) = 1.000725615563606 x2[1] (numeric) = 1.000725615563606 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 t[1] = 0.5 x1[1] (analytic) = 2.001091755187483 x1[1] (numeric) = 2.001091755187483 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 x2[1] (analytic) = 1.000725615563606 x2[1] (numeric) = 1.000725615563606 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.6000000000000001 x1[1] (analytic) = 2.000987860944969 x1[1] (numeric) = 2.000982579668733 absolute error = 5.281276236335231e-06 relative error = 0.0002639334470445583 % Correct digits = 5 h = 0.005 x2[1] (analytic) = 1.000828666875376 x2[1] (numeric) = 1.000816150916953 absolute error = 1.251595842255426e-05 relative error = 0.001250559544984813 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.7000000000000002 x1[1] (analytic) = 2.000893853546824 x1[1] (numeric) = 2.000873404149983 absolute error = 2.04493968412045e-05 relative error = 0.001022013077053313 % Correct digits = 4 h = 0.005 x2[1] (analytic) = 1.000960015584506 x2[1] (numeric) = 1.000906686270301 absolute error = 5.332931420576337e-05 relative error = 0.00532781663357671 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.8000000000000003 x1[1] (analytic) = 2.000808792135411 x1[1] (numeric) = 2.000764228631233 absolute error = 4.45635041779191e-05 relative error = 0.002227274507843282 % Correct digits = 4 h = 0.005 x2[1] (analytic) = 1.001125405174114 x2[1] (numeric) = 1.000997221623648 absolute error = 0.0001281835504660656 relative error = 0.01280394542018161 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.9000000000000004 x1[1] (analytic) = 2.000731825387533 x1[1] (numeric) = 2.000655053112483 absolute error = 7.677227504965245e-05 relative error = 0.003837209668756181 % Correct digits = 4 h = 0.005 x2[1] (analytic) = 1.001331900390805 x2[1] (numeric) = 1.001087756976996 absolute error = 0.0002441434138089615 relative error = 0.02438186716249388 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1 x1[1] (analytic) = 2.000662182994108 x1[1] (numeric) = 2.000545877593733 absolute error = 0.0001163054003749942 relative error = 0.005813345269561516 % Correct digits = 4 h = 0.005 x2[1] (analytic) = 1.001588175052138 x2[1] (numeric) = 1.001178292330343 absolute error = 0.000409882721794208 relative error = 0.04092327884890131 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.104999999999998 x1[1] (analytic) = 2.000596179588035 x1[1] (numeric) = 2.000431243299046 absolute error = 0.0001649362889892814 relative error = 0.008244356890816677 % Correct digits = 4 h = 0.005 x2[1] (analytic) = 1.001922506543281 x2[1] (numeric) = 1.001273354451358 absolute error = 0.0006491520919222893 relative error = 0.06479064874607121 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.204999999999996 x1[1] (analytic) = 2.000539445599124 x1[1] (numeric) = 2.000322067780296 absolute error = 0.0002173778188274689 relative error = 0.01086596014418343 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.002316699828867 x2[1] (numeric) = 1.001363889804706 absolute error = 0.0009528100241611437 relative error = 0.095060775134628 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.304999999999994 x1[1] (analytic) = 2.000488110563082 x1[1] (numeric) = 2.000212892261546 absolute error = 0.0002752183015357623 relative error = 0.01375755747222591 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.00280116193088 x2[1] (numeric) = 1.001454425158053 absolute error = 0.001346736772826151 relative error = 0.1342974882710575 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.404999999999992 x1[1] (analytic) = 2.000441660701615 x1[1] (numeric) = 2.000103716742796 absolute error = 0.0003379439588186983 relative error = 0.01689346735061352 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.003395593760693 x2[1] (numeric) = 1.001544960511401 absolute error = 0.001850633249292022 relative error = 0.1844370516274554 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.50499999999999 x1[1] (analytic) = 2.000399631128897 x1[1] (numeric) = 1.999994541224047 absolute error = 0.000405089904850886 relative error = 0.02025044888766947 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.004124085173198 x2[1] (numeric) = 1.001635495864749 absolute error = 0.002488589308448974 relative error = 0.2478368306462569 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.604999999999988 x1[1] (analytic) = 2.000361601198839 x1[1] (numeric) = 1.999885365705297 absolute error = 0.0004762354935419211 relative error = 0.02380747027220018 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.00501608411139 x2[1] (numeric) = 1.001726031218096 absolute error = 0.003290052893294204 relative error = 0.3273632079434017 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.704999999999985 x1[1] (analytic) = 2.000327190295116 x1[1] (numeric) = 1.999776190186547 absolute error = 0.0005510001085688998 relative error = 0.02754549911845215 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.006107580567732 x2[1] (numeric) = 1.001816566571444 absolute error = 0.004291013996288617 relative error = 0.4264965376632247 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.804999999999983 x1[1] (analytic) = 2.000296054021839 x1[1] (numeric) = 1.999667014667797 absolute error = 0.0006290393540422379 relative error = 0.0314473126504188 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.007442552899937 x2[1] (numeric) = 1.001907101924791 absolute error = 0.005535450975145961 relative error = 0.5494557440731572 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.904999999999981 x1[1] (analytic) = 2.00026788075672 x1[1] (numeric) = 1.999557839149047 absolute error = 0.0007100416076730731 relative error = 0.03549732585839741 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.00907473456605 x2[1] (numeric) = 1.001997637278139 absolute error = 0.007077097287911061 relative error = 0.7013452071966253 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.004999999999979 x1[1] (analytic) = 2.000242388532252 x1[1] (numeric) = 1.999448663630297 absolute error = 0.0007937249019547288 relative error = 0.03968143593522945 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.011069772201401 x2[1] (numeric) = 1.002088172631487 absolute error = 0.008981599569914511 relative error = 0.8883263862551132 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.104999999999977 x1[1] (analytic) = 2.000219322213684 x1[1] (numeric) = 1.999339488111547 absolute error = 0.0008798341021369893 relative error = 0.04398688145674239 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.013507861664303 x2[1] (numeric) = 1.002178707984834 absolute error = 0.01132915367946929 relative error = 1.1178160631991 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.204999999999975 x1[1] (analytic) = 2.000198450945548 x1[1] (numeric) = 1.999230312592797 absolute error = 0.0009681383527508913 relative error = 0.04840211491480888 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.016486967858431 x2[1] (numeric) = 1.002269243338182 absolute error = 0.01421772452024928 relative error = 1.3987119333368 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.304999999999973 x1[1] (analytic) = 2.000179565841177 x1[1] (numeric) = 1.999121137074047 absolute error = 0.00105842876712936 relative error = 0.05291668734173061 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.020126757567473 x2[1] (numeric) = 1.002359778691529 absolute error = 0.01776697887594358 relative error = 1.741644236281926 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.40499999999997 x1[1] (analytic) = 2.000162477892097 x1[1] (numeric) = 1.999011961555297 absolute error = 0.001150516336799967 relative error = 0.05752114388289379 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.024573403152135 x2[1] (numeric) = 1.002450314044877 absolute error = 0.02212308910725769 relative error = 2.159248818990934 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.504999999999968 x1[1] (analytic) = 2.000147016076374 x1[1] (numeric) = 1.998902786036548 absolute error = 0.0012442300398261 relative error = 0.06220692928197184 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.030005449909203 x2[1] (numeric) = 1.002540849398224 absolute error = 0.02746460051097865 relative error = 2.666451960365813 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.604999999999966 x1[1] (analytic) = 2.000133025646956 x1[1] (numeric) = 1.998793610517798 absolute error = 0.001339415129157917 relative error = 0.06696630234004934 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.0366409825799 x2[1] (numeric) = 1.002631384751572 absolute error = 0.03400959782832835 relative error = 3.280749883502413 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.704999999999964 x1[1] (analytic) = 2.000120366582924 x1[1] (numeric) = 1.998684434999048 absolute error = 0.001435931583876116 relative error = 0.07179225849938779 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.04474637863326 x2[1] (numeric) = 1.00272192010492 absolute error = 0.04202445852834025 relative error = 4.022455534453899 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.804999999999962 x1[1] (analytic) = 2.000108912188111 x1[1] (numeric) = 1.998575259480298 absolute error = 0.001533652707812916 relative error = 0.07667845978122792 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.054646999632299 x2[1] (numeric) = 1.002812455458267 absolute error = 0.05183454417403177 relative error = 4.91487143964794 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.90499999999996 x1[1] (analytic) = 2.000098547823083 x1[1] (numeric) = 1.998466083961548 absolute error = 0.001632463861534816 relative error = 0.08161917138091011 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.066740249772089 x2[1] (numeric) = 1.002902990811615 absolute error = 0.0638372589604741 relative error = 5.984330203544213 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.004999999999958 x1[1] (analytic) = 2.000089169757791 x1[1] (numeric) = 1.998356908442798 absolute error = 0.001732261314993266 relative error = 0.08660920428877886 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.081511525681072 x2[1] (numeric) = 1.002993526164962 absolute error = 0.0785179995161096 relative error = 7.26002429485563 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.104999999999956 x1[1] (analytic) = 2.000080684133407 x1[1] (numeric) = 1.998247732924048 absolute error = 0.001832951209358669 relative error = 0.09164386336508459 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.09955369761292 x2[1] (numeric) = 1.00308406151831 absolute error = 0.09646963609461046 relative error = 8.773526595748942 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.204999999999953 x1[1] (analytic) = 2.000073006022948 x1[1] (numeric) = 1.998138557405298 absolute error = 0.00193444861765002 relative error = 0.09671890035137169 % Correct digits = 3 h = 0.005 x2[1] (analytic) = 1.121590903882775 x2[1] (numeric) = 1.003174596871657 absolute error = 0.1184163070111175 relative error = 10.55788760422169 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.304999999999951 x1[1] (analytic) = 2.000066058581305 x1[1] (numeric) = 1.998029381886548 absolute error = 0.002036676694757045 relative error = 0.1018304713496167 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.148507613506861 x2[1] (numeric) = 1.003265132225005 absolute error = 0.145242481281856 relative error = 12.64619229108735 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.404999999999949 x1[1] (analytic) = 2.000059772276148 x1[1] (numeric) = 1.997920206367799 absolute error = 0.002139565908349184 relative error = 0.1069750983448996 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.18138412343552 x2[1] (numeric) = 1.003355667578353 absolute error = 0.1780284558571679 relative error = 15.06948098637493 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.504999999999947 x1[1] (analytic) = 2.00005408419202 x1[1] (numeric) = 1.997811030849049 absolute error = 0.002243053342970924 relative error = 0.1121496343873657 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.22153991501212 x2[1] (numeric) = 1.0034462029317 absolute error = 0.2180937120804203 relative error = 17.85399800695471 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.604999999999945 x1[1] (analytic) = 2.000048937400663 x1[1] (numeric) = 1.997701855330299 absolute error = 0.002347082070364603 relative error = 0.1173512320860987 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.270586609708265 x2[1] (numeric) = 1.003536738285048 absolute error = 0.2670498714232177 relative error = 21.01784084475233 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.704999999999943 x1[1] (analytic) = 2.000044280391262 x1[1] (numeric) = 1.997592679811549 absolute error = 0.002451600579712832 relative error = 0.1225773150999054 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.330492649438069 x2[1] (numeric) = 1.003627273638395 absolute error = 0.3268653757996738 relative error = 24.56724401579556 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.804999999999941 x1[1] (analytic) = 2.000040066554899 x1[1] (numeric) = 1.997483504292799 absolute error = 0.002556562262099771 relative error = 0.1278255523402334 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.403662297302465 x2[1] (numeric) = 1.003717808991743 absolute error = 0.3999444883107217 relative error = 28.4929280411199 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.904999999999939 x1[1] (analytic) = 2.000036253718084 x1[1] (numeric) = 1.997374328774049 absolute error = 0.002661924944035388 relative error = 0.1330938346285897 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.493032129343402 x2[1] (numeric) = 1.00380834434509 absolute error = 0.4892237849983117 relative error = 32.76713041757915 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.004999999999937 x1[1] (analytic) = 2.000032803720666 x1[1] (numeric) = 1.997265153255299 absolute error = 0.002767650465366422 relative error = 0.1383802535747292 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.602188889863178 x2[1] (numeric) = 1.003898879698438 absolute error = 0.5982900101647399 relative error = 37.34203962778896 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.104999999999935 x1[1] (analytic) = 2.000029682033909 x1[1] (numeric) = 1.997155977736549 absolute error = 0.002873704297359669 relative error = 0.1436830824649205 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.735513440258795 x2[1] (numeric) = 1.003989415051786 absolute error = 0.7315240252070097 relative error = 42.15029444530989 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.204999999999933 x1[1] (analytic) = 2.000026857414924 x1[1] (numeric) = 1.997046802217799 absolute error = 0.002980055197125075 relative error = 0.1490007589686499 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 1.898356578545437 x2[1] (numeric) = 1.004079950405133 absolute error = 0.8942766281403038 relative error = 47.10793737315244 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.30499999999993 x1[1] (analytic) = 2.000024301593975 x1[1] (numeric) = 1.99693762669905 absolute error = 0.003086674894925867 relative error = 0.1543318694910784 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 2.09725378582561 x2[1] (numeric) = 1.004170485758481 absolute error = 1.093083300067129 relative error = 52.11974380281418 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.404999999999928 x1[1] (analytic) = 2.000021988991547 x1[1] (numeric) = 1.9968284511803 absolute error = 0.003193537811247094 relative error = 0.1596751350147576 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 2.340187518235356 x2[1] (numeric) = 1.004261021111828 absolute error = 1.335926497123528 relative error = 57.08630127772401 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.504999999999926 x1[1] (analytic) = 2.000019896462336 x1[1] (numeric) = 1.99671927566155 absolute error = 0.003300620800786636 relative error = 0.1650293982887281 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 2.636907571065725 x2[1] (numeric) = 1.004351556465176 absolute error = 1.632556014600549 relative error = 61.91176484584707 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.604999999999924 x1[1] (analytic) = 2.000018003063608 x1[1] (numeric) = 1.9966101001428 absolute error = 0.003407902920808503 relative error = 0.1703936122369054 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 2.999322372397871 x2[1] (numeric) = 1.004442091818524 absolute error = 1.994880280579348 relative error = 66.51103258982124 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.704999999999922 x1[1] (analytic) = 2.000016289845592 x1[1] (numeric) = 1.99650092462405 absolute error = 0.003515365221542499 relative error = 0.1757668294698688 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 3.441976910240425 x2[1] (numeric) = 1.004532627171871 absolute error = 2.437444283068554 relative error = 70.81524213067124 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.80499999999992 x1[1] (analytic) = 2.000014739661826 x1[1] (numeric) = 1.9963917491053 absolute error = 0.003622990556525707 relative error = 0.1811481927947343 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 3.98263647406434 x2[1] (numeric) = 1.004623162525219 absolute error = 2.978013311539121 relative error = 74.77492186225108 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.904999999999918 x1[1] (analytic) = 2.000013336997549 x1[1] (numeric) = 1.99628257358655 absolute error = 0.003730763410999316 relative error = 0.1865369266286991 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 4.642999638333616 x2[1] (numeric) = 1.004713697878566 absolute error = 3.63828594045505 relative error = 78.36067680075978 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 5.004999999999916 x1[1] (analytic) = 2.000012067814427 x1[1] (numeric) = 1.9961733980678 absolute error = 0.003838669746626611 relative error = 0.1919323292294647 % Correct digits = 2 h = 0.005 x2[1] (analytic) = 5.449569102565301 x2[1] (numeric) = 1.004804233231914 absolute error = 4.444764869333387 relative error = 81.56176728250097 % Correct digits = 0 h = 0.005 Finished! diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1; diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1; Iterations = 901 Total Elapsed Time = 4 Minutes 50 Seconds Elapsed Time(since restart) = 4 Minutes 50 Seconds Time to Timeout = 5 Minutes 10 Seconds Percent Done = 100.2 %