##############ECHO OF PROBLEM################# ##############temp/mtest6_revpostode.ode################# diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1; diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ /* # */ /* # was complicatedrev.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 = 10; /* 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(1.0 + 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(1.0 + 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 x2[1] (analytic) = 2.000725615563606 x2[1] (numeric) = 2.000725615563606 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 x1[1] (analytic) = 3.001091755187483 x1[1] (numeric) = 3.001091755187483 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 t[1] = 0.5 x2[1] (analytic) = 2.000725615563606 x2[1] (numeric) = 2.000725615563606 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 x1[1] (analytic) = 3.001091755187483 x1[1] (numeric) = 3.001091755187483 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.6000000000000001 x2[1] (analytic) = 2.000828666875375 x2[1] (numeric) = 2.000816150916954 absolute error = 1.251595842166608e-05 relative error = 0.0006255387394669741 % Correct digits = 5 h = 0.005 x1[1] (analytic) = 3.000987860944969 x1[1] (numeric) = 3.000982579668733 absolute error = 5.281276236335231e-06 relative error = 0.0001759845917761303 % Correct digits = 5 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.7000000000000002 x2[1] (analytic) = 2.000960015584506 x2[1] (numeric) = 2.000906686270301 absolute error = 5.332931420509723e-05 relative error = 0.002665186400015048 % Correct digits = 4 h = 0.005 x1[1] (analytic) = 3.000893853546824 x1[1] (numeric) = 3.000873404149983 absolute error = 2.04493968412045e-05 relative error = 0.0006814435244697142 % Correct digits = 5 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.8000000000000003 x2[1] (analytic) = 2.001125405174114 x2[1] (numeric) = 2.000997221623649 absolute error = 0.0001281835504656215 relative error = 0.006405573090731335 % Correct digits = 4 h = 0.005 x1[1] (analytic) = 3.000808792135411 x1[1] (numeric) = 3.000764228631233 absolute error = 4.45635041779191e-05 relative error = 0.001485049773738072 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 0.9000000000000004 x2[1] (analytic) = 2.001331900390805 x2[1] (numeric) = 2.001087756976996 absolute error = 0.0002441434138082954 relative error = 0.0121990467328593 % Correct digits = 3 h = 0.005 x1[1] (analytic) = 3.000731825387533 x1[1] (numeric) = 3.000655053112483 absolute error = 7.677227504965245e-05 relative error = 0.002558451721680847 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1 x2[1] (analytic) = 2.001588175052138 x2[1] (numeric) = 2.001178292330344 absolute error = 0.0004098827217937639 relative error = 0.02047787486469774 % Correct digits = 3 h = 0.005 x1[1] (analytic) = 3.000662182994108 x1[1] (numeric) = 3.000545877593733 absolute error = 0.0001163054003749942 relative error = 0.003875991140693578 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.104999999999998 x2[1] (analytic) = 2.001922506543281 x2[1] (numeric) = 2.001273354451359 absolute error = 0.0006491520919218452 relative error = 0.03242643457976483 % Correct digits = 3 h = 0.005 x1[1] (analytic) = 3.000596179588035 x1[1] (numeric) = 3.000431243299046 absolute error = 0.0001649362889892814 relative error = 0.00549678394284719 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.204999999999996 x2[1] (analytic) = 2.002316699828867 x2[1] (numeric) = 2.001363889804706 absolute error = 0.0009528100241604776 relative error = 0.04758538068637753 % Correct digits = 3 h = 0.005 x1[1] (analytic) = 3.000539445599124 x1[1] (numeric) = 3.000322067780296 absolute error = 0.0002173778188274689 relative error = 0.007244624600629592 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.304999999999994 x2[1] (analytic) = 2.00280116193088 x2[1] (numeric) = 2.001454425158054 absolute error = 0.001346736772826151 relative error = 0.0672426598518535 % Correct digits = 3 h = 0.005 x1[1] (analytic) = 3.000488110563082 x1[1] (numeric) = 3.000212892261546 absolute error = 0.0002752183015357623 relative error = 0.009172450994452162 % Correct digits = 4 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.404999999999992 x2[1] (analytic) = 2.003395593760693 x2[1] (numeric) = 2.001544960511402 absolute error = 0.0018506332492918 relative error = 0.0923748287684843 % Correct digits = 3 h = 0.005 x1[1] (analytic) = 3.000441660701615 x1[1] (numeric) = 3.000103716742796 absolute error = 0.0003379439588186983 relative error = 0.01126314046511654 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.50499999999999 x2[1] (analytic) = 2.004124085173198 x2[1] (numeric) = 2.001635495864749 absolute error = 0.002488589308448752 relative error = 0.1241734145535049 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000399631128897 x1[1] (numeric) = 2.999994541224047 absolute error = 0.000405089904850886 relative error = 0.01350119832865302 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.604999999999988 x2[1] (analytic) = 2.00501608411139 x2[1] (numeric) = 2.001726031218097 absolute error = 0.003290052893293538 relative error = 0.1640910972917042 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000361601198839 x1[1] (numeric) = 2.999885365705297 absolute error = 0.0004762354935419211 relative error = 0.01587260326727399 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.704999999999985 x2[1] (analytic) = 2.006107580567733 x2[1] (numeric) = 2.001816566571444 absolute error = 0.004291013996288395 relative error = 0.213897501701979 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000327190295116 x1[1] (numeric) = 2.999776190186547 absolute error = 0.0005510001085688998 relative error = 0.01836466737198428 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.804999999999983 x2[1] (analytic) = 2.007442552899938 x2[1] (numeric) = 2.001907101924792 absolute error = 0.005535450975145739 relative error = 0.275746420098013 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000296054021839 x1[1] (numeric) = 2.999667014667797 absolute error = 0.0006290393540422379 relative error = 0.02096590945413613 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 1.904999999999981 x2[1] (analytic) = 2.00907473456605 x2[1] (numeric) = 2.001997637278139 absolute error = 0.007077097287910838 relative error = 0.3522565470636639 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.00026788075672 x1[1] (numeric) = 2.999557839149047 absolute error = 0.0007100416076730731 relative error = 0.02366594037243062 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.004999999999979 x2[1] (analytic) = 2.011069772201401 x2[1] (numeric) = 2.002088172631487 absolute error = 0.008981599569913623 relative error = 0.4466080537863185 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000242388532252 x1[1] (numeric) = 2.999448663630297 absolute error = 0.0007937249019547288 relative error = 0.02645535923992551 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.104999999999977 x2[1] (analytic) = 2.013507861664303 x2[1] (numeric) = 2.002178707984835 absolute error = 0.01132915367946863 relative error = 0.5626575339072329 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000219322213684 x1[1] (numeric) = 2.999339488111547 absolute error = 0.0008798341021369893 relative error = 0.02932565948171455 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.204999999999975 x2[1] (analytic) = 2.016486967858431 x2[1] (numeric) = 2.002269243338182 absolute error = 0.01421772452024861 relative error = 0.7050739601530009 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000198450945548 x1[1] (numeric) = 2.999230312592797 absolute error = 0.0009681383527508913 relative error = 0.03226914381099594 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.304999999999973 x2[1] (analytic) = 2.020126757567473 x2[1] (numeric) = 2.00235977869153 absolute error = 0.01776697887594336 relative error = 0.8794982200689918 % Correct digits = 2 h = 0.005 x1[1] (analytic) = 3.000179565841177 x1[1] (numeric) = 2.999121137074047 absolute error = 0.00105842876712936 relative error = 0.03527884727901621 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.40499999999997 x2[1] (analytic) = 2.024573403152135 x2[1] (numeric) = 2.002450314044877 absolute error = 0.02212308910725724 relative error = 1.09272842727327 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000162477892097 x1[1] (numeric) = 2.999011961555297 absolute error = 0.001150516336799967 relative error = 0.0383484676339368 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.504999999999968 x2[1] (analytic) = 2.030005449909203 x2[1] (numeric) = 2.002540849398225 absolute error = 0.02746460051097843 relative error = 1.352932353566186 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000147016076374 x1[1] (numeric) = 2.998902786036548 absolute error = 0.0012442300398261 relative error = 0.04147230229581608 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.604999999999966 x2[1] (analytic) = 2.036640982579901 x2[1] (numeric) = 2.002631384751572 absolute error = 0.03400959782832835 relative error = 1.669886745834159 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000133025646956 x1[1] (numeric) = 2.998793610517798 absolute error = 0.001339415129157917 relative error = 0.04464519132011097 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.704999999999964 x2[1] (analytic) = 2.04474637863326 x2[1] (numeric) = 2.00272192010492 absolute error = 0.04202445852834025 relative error = 2.055240638520169 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000120366582924 x1[1] (numeric) = 2.998684434999048 absolute error = 0.001435931583876116 relative error = 0.04786246578205169 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.804999999999962 x2[1] (analytic) = 2.054646999632299 x2[1] (numeric) = 2.002812455458268 absolute error = 0.05183454417403155 relative error = 2.522795603493344 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000108912188111 x1[1] (numeric) = 2.998575259480298 absolute error = 0.001533652707812916 relative error = 0.05111990106700345 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 2.90499999999996 x2[1] (analytic) = 2.066740249772089 x2[1] (numeric) = 2.002902990811615 absolute error = 0.06383725896047343 relative error = 3.088789651602959 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000098547823083 x1[1] (numeric) = 2.998466083961548 absolute error = 0.001632463861534816 relative error = 0.05441367460143458 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.004999999999958 x2[1] (analytic) = 2.081511525681072 x2[1] (numeric) = 2.002993526164963 absolute error = 0.07851799951610916 relative error = 3.772162611034211 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000089169757791 x1[1] (numeric) = 2.998356908442798 absolute error = 0.001732261314993266 relative error = 0.0577403276027665 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.104999999999956 x2[1] (analytic) = 2.09955369761292 x2[1] (numeric) = 2.00308406151831 absolute error = 0.09646963609460979 relative error = 4.594768697951883 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000080684133407 x1[1] (numeric) = 2.998247732924048 absolute error = 0.001832951209358669 relative error = 0.06109673046637173 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.204999999999953 x2[1] (analytic) = 2.121590903882775 x2[1] (numeric) = 2.003174596871658 absolute error = 0.1184163070111168 relative error = 5.581486364520148 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000073006022948 x1[1] (numeric) = 2.998138557405298 absolute error = 0.00193444861765002 relative error = 0.06448005144429551 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.304999999999951 x2[1] (analytic) = 2.148507613506861 x2[1] (numeric) = 2.003265132225005 absolute error = 0.1452424812818558 relative error = 6.760156695222805 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000066058581305 x1[1] (numeric) = 2.998029381886548 absolute error = 0.002036676694757045 relative error = 0.06788772830289491 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.404999999999949 x2[1] (analytic) = 2.18138412343552 x2[1] (numeric) = 2.003355667578353 absolute error = 0.1780284558571674 relative error = 8.161261189376662 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.000059772276148 x1[1] (numeric) = 2.997920206367799 absolute error = 0.002139565908349184 relative error = 0.07131744267634685 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.504999999999947 x2[1] (analytic) = 2.22153991501212 x2[1] (numeric) = 2.003446202931701 absolute error = 0.2180937120804196 relative error = 9.817231309086324 % Correct digits = 1 h = 0.005 x1[1] (analytic) = 3.00005408419202 x1[1] (numeric) = 2.997811030849049 absolute error = 0.002243053342970924 relative error = 0.07476709685968971 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.604999999999945 x2[1] (analytic) = 2.270586609708265 x2[1] (numeric) = 2.003536738285048 absolute error = 0.2670498714232172 relative error = 11.7612721876101 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000048937400663 x1[1] (numeric) = 2.997701855330299 absolute error = 0.002347082070364603 relative error = 0.07823479280968626 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.704999999999943 x2[1] (analytic) = 2.330492649438069 x2[1] (numeric) = 2.003627273638396 absolute error = 0.3268653757996733 relative error = 14.02559136491967 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000044280391262 x1[1] (numeric) = 2.997592679811549 absolute error = 0.002451600579712832 relative error = 0.08171881314342123 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.804999999999941 x2[1] (analytic) = 2.403662297302464 x2[1] (numeric) = 2.003717808991743 absolute error = 0.3999444883107208 relative error = 16.63896333355825 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000040066554899 x1[1] (numeric) = 2.997483504292799 absolute error = 0.002556562262099771 relative error = 0.08521760394472343 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 3.904999999999939 x2[1] (analytic) = 2.493032129343402 x2[1] (numeric) = 2.003808344345091 absolute error = 0.4892237849983108 relative error = 19.62364540914117 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000036253718084 x1[1] (numeric) = 2.997374328774049 absolute error = 0.002661924944035388 relative error = 0.08872975920662092 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.004999999999937 x2[1] (analytic) = 2.602188889863178 x2[1] (numeric) = 2.003898879698438 absolute error = 0.5982900101647397 relative error = 22.99179788582517 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000032803720666 x1[1] (numeric) = 2.997265153255299 absolute error = 0.002767650465366422 relative error = 0.09225400675399147 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.104999999999935 x2[1] (analytic) = 2.735513440258795 x2[1] (numeric) = 2.003989415051786 absolute error = 0.7315240252070088 relative error = 26.74174487469535 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000029682033909 x1[1] (numeric) = 2.997155977736549 absolute error = 0.002873704297359669 relative error = 0.09578919550593927 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.204999999999933 x2[1] (analytic) = 2.898356578545437 x2[1] (numeric) = 2.004079950405134 absolute error = 0.8942766281403034 relative error = 30.85461032503817 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000026857414924 x1[1] (numeric) = 2.997046802217799 absolute error = 0.002980055197125075 relative error = 0.09933428395014242 % Correct digits = 3 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.30499999999993 x2[1] (analytic) = 3.09725378582561 x2[1] (numeric) = 2.004170485758481 absolute error = 1.093083300067129 relative error = 35.29201594875941 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000024301593975 x1[1] (numeric) = 2.99693762669905 absolute error = 0.003086674894925867 relative error = 0.1028883297140577 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.404999999999928 x2[1] (analytic) = 3.340187518235356 x2[1] (numeric) = 2.004261021111829 absolute error = 1.335926497123527 relative error = 39.99555383732786 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000021988991547 x1[1] (numeric) = 2.9968284511803 absolute error = 0.003193537811247094 relative error = 0.1064504801286672 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.504999999999926 x2[1] (analytic) = 3.636907571065725 x2[1] (numeric) = 2.004351556465176 absolute error = 1.632556014600549 relative error = 44.88857587662477 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000019896462336 x1[1] (numeric) = 2.99671927566155 absolute error = 0.003300620800786636 relative error = 0.1100199636901999 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.604999999999924 x2[1] (analytic) = 3.999322372397871 x2[1] (numeric) = 2.004442091818524 absolute error = 1.994880280579348 relative error = 49.8804571081195 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000018003063608 x1[1] (numeric) = 2.9966101001428 absolute error = 0.003407902920808503 relative error = 0.1135960823344515 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.704999999999922 x2[1] (analytic) = 4.441976910240425 x2[1] (numeric) = 2.004532627171872 absolute error = 2.437444283068553 relative error = 54.87296157369321 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000016289845592 x1[1] (numeric) = 2.99650092462405 absolute error = 0.003515365221542499 relative error = 0.1171782044464642 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.80499999999992 x2[1] (analytic) = 4.98263647406434 x2[1] (numeric) = 2.004623162525219 absolute error = 2.978013311539121 relative error = 59.76782225715844 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000014739661826 x1[1] (numeric) = 2.9963917491053 absolute error = 0.003622990556525707 relative error = 0.1207657585353766 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 4.904999999999918 x2[1] (analytic) = 5.642999638333616 x2[1] (numeric) = 2.004713697878567 absolute error = 3.638285940455049 relative error = 64.47432524609269 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000013336997549 x1[1] (numeric) = 2.99628257358655 absolute error = 0.003730763410999316 relative error = 0.1243582275115187 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE t[1] = 5.004999999999916 x2[1] (analytic) = 6.449569102565301 x2[1] (numeric) = 2.004804233231914 absolute error = 4.444764869333387 relative error = 68.9156872133596 % Correct digits = 0 h = 0.005 x1[1] (analytic) = 3.000012067814427 x1[1] (numeric) = 2.9961733980678 absolute error = 0.003838669746626611 relative error = 0.1279551435079114 % Correct digits = 2 h = 0.005 Finished! diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1) + x1; diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1; Iterations = 901 Total Elapsed Time Unknown Elapsed Time(since restart) Unknown Time to Timeout = 21 Minutes 43 Seconds Percent Done = 100.2 %