##############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 = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; /* 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 = 1e-05 y1[1] (analytic) = 1.099833416646828 y1[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 x[1] = 0.1 y2[1] (analytic) = 1.099833416646828 y2[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099833416646828 y1[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10001 y2[1] (analytic) = 1.099843366683489 y2[1] (numeric) = 1.099843366683489 absolute error = 2.220446049250313e-16 relative error = 2.018874793004329e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099843366683489 y1[1] (numeric) = 1.099833416646828 absolute error = 9.950036660821837e-06 relative error = 0.0009046776079420808 % Correct digits = 5 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10002 y2[1] (analytic) = 1.099853316710166 y2[1] (numeric) = 1.099853316710166 absolute error = 2.220446049250313e-16 relative error = 2.018856528879703e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099853316710166 y1[1] (numeric) = 1.099833416646828 absolute error = 1.990006333740801e-05 relative error = 0.001809337939438346 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10003 y2[1] (analytic) = 1.099863266726857 y2[1] (numeric) = 1.099863266726857 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099863266726857 y1[1] (numeric) = 1.099833416646828 absolute error = 2.985008002887035e-05 relative error = 0.00271398099490156 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10004 y2[1] (analytic) = 1.099873216733562 y2[1] (numeric) = 1.099873216733562 absolute error = 2.220446049250313e-16 relative error = 2.018820001676797e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099873216733562 y1[1] (numeric) = 1.099833416646828 absolute error = 3.980008673365454e-05 relative error = 0.003618606774683912 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10005 y2[1] (analytic) = 1.09988316673028 y2[1] (numeric) = 1.09988316673028 absolute error = 2.220446049250313e-16 relative error = 2.018801738598501e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.09988316673028 y1[1] (numeric) = 1.099833416646828 absolute error = 4.975008345131648e-05 relative error = 0.004523215279238519 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10006 y2[1] (analytic) = 1.099893116717009 y2[1] (numeric) = 1.099893116717009 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099893116717009 y1[1] (numeric) = 1.099833416646828 absolute error = 5.970007018074597e-05 relative error = 0.005427806508957922 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10007 y2[1] (analytic) = 1.099903066693749 y2[1] (numeric) = 1.099903066693749 absolute error = 2.220446049250313e-16 relative error = 2.018765213488183e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099903066693749 y1[1] (numeric) = 1.099833416646828 absolute error = 6.965004692061072e-05 relative error = 0.006332380464214462 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10008 y2[1] (analytic) = 1.099913016660498 y2[1] (numeric) = 1.099913016660499 absolute error = 2.220446049250313e-16 relative error = 2.018746951456145e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099913016660498 y1[1] (numeric) = 1.099833416646828 absolute error = 7.960001367024461e-05 relative error = 0.00723693714544103 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10009 y2[1] (analytic) = 1.099922966617257 y2[1] (numeric) = 1.099922966617257 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099922966617257 y1[1] (numeric) = 1.099833416646828 absolute error = 8.954997042875945e-05 relative error = 0.008141476553050317 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001 y2[1] (analytic) = 1.099932916564023 y2[1] (numeric) = 1.099932916564023 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099932916564023 y1[1] (numeric) = 1.099833416646828 absolute error = 9.949991719482298e-05 relative error = 0.00904599868741463 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10011 y2[1] (analytic) = 1.099942866500796 y2[1] (numeric) = 1.099942866500796 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099942866500796 y1[1] (numeric) = 1.099833416646828 absolute error = 0.000109449853967547 relative error = 0.009950503548946634 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10012 y2[1] (analytic) = 1.099952816427574 y2[1] (numeric) = 1.099952816427574 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.099952816427574 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001193997807460434 relative error = 0.01085499113805899 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10013 y2[1] (analytic) = 1.099962766344358 y2[1] (numeric) = 1.099962766344357 absolute error = 2.220446049250313e-16 relative error = 2.018655646526833e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099962766344358 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001293496975294239 relative error = 0.01175946145516432 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10014 y2[1] (analytic) = 1.099972716251145 y2[1] (numeric) = 1.099972716251144 absolute error = 2.220446049250313e-16 relative error = 2.01863738658709e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099972716251145 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001392996043163564 relative error = 0.01266391450063491 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001499999999999 y2[1] (analytic) = 1.099982666147934 y2[1] (numeric) = 1.099982666147934 absolute error = 2.220446049250313e-16 relative error = 2.018619126996034e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099982666147934 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001492495011059525 relative error = 0.01356835027488335 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001599999999999 y2[1] (analytic) = 1.099992616034726 y2[1] (numeric) = 1.099992616034725 absolute error = 2.220446049250313e-16 relative error = 2.018600867753658e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.099992616034726 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001591993878973241 relative error = 0.01447276877832227 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001699999999999 y2[1] (analytic) = 1.100002565911518 y2[1] (numeric) = 1.100002565911518 absolute error = 2.220446049250313e-16 relative error = 2.018582608859952e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100002565911518 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001691492646895831 relative error = 0.01537717001136425 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001799999999999 y2[1] (analytic) = 1.10001251577831 y2[1] (numeric) = 1.100012515778309 absolute error = 2.220446049250313e-16 relative error = 2.01856435031491e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.10001251577831 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001790991314813972 relative error = 0.01628155397438149 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001899999999999 y2[1] (analytic) = 1.1000224656351 y2[1] (numeric) = 1.1000224656351 absolute error = 2.220446049250313e-16 relative error = 2.018546092118522e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.1000224656351 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0001890489882721003 relative error = 0.01718592066780677 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001999999999999 y2[1] (analytic) = 1.100032415481889 y2[1] (numeric) = 1.100032415481889 absolute error = 2.220446049250313e-16 relative error = 2.018527834270781e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100032415481889 y1[1] (numeric) = 1.099833416646828 absolute error = 0.000198998835060582 relative error = 0.01809027009203243 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002099999999999 y2[1] (analytic) = 1.100042365318674 y2[1] (numeric) = 1.100042365318674 absolute error = 2.220446049250313e-16 relative error = 2.018509576771679e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100042365318674 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002089486718457323 relative error = 0.01899460224745085 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002199999999999 y2[1] (analytic) = 1.100052315145455 y2[1] (numeric) = 1.100052315145455 absolute error = 2.220446049250313e-16 relative error = 2.018491319621207e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100052315145455 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002188984986266629 relative error = 0.01989891713447455 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002299999999999 y2[1] (analytic) = 1.10006226496223 y2[1] (numeric) = 1.10006226496223 absolute error = 2.220446049250313e-16 relative error = 2.018473062819358e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.10006226496223 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002288483154022636 relative error = 0.02080321475349587 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002399999999999 y2[1] (analytic) = 1.100072214769 y2[1] (numeric) = 1.100072214769 absolute error = 2.220446049250313e-16 relative error = 2.018454806366122e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100072214769 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002387981221716462 relative error = 0.02170749510492732 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002499999999999 y2[1] (analytic) = 1.100082164565762 y2[1] (numeric) = 1.100082164565762 absolute error = 2.220446049250313e-16 relative error = 2.018436550261493e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100082164565762 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002487479189339226 relative error = 0.02261175818918138 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002599999999999 y2[1] (analytic) = 1.100092114352516 y2[1] (numeric) = 1.100092114352516 absolute error = 2.220446049250313e-16 relative error = 2.018418294505462e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100092114352516 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002586977056879824 relative error = 0.02351600400665037 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002699999999999 y2[1] (analytic) = 1.100102064129261 y2[1] (numeric) = 1.100102064129261 absolute error = 2.220446049250313e-16 relative error = 2.01840003909802e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100102064129261 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002686474824327156 relative error = 0.02442023255772656 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002799999999999 y2[1] (analytic) = 1.100112013895996 y2[1] (numeric) = 1.100112013895995 absolute error = 4.440892098500626e-16 relative error = 4.036763568078321e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100112013895996 y1[1] (numeric) = 1.099833416646828 absolute error = 0.000278597249167456 relative error = 0.02532444384284258 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002899999999999 y2[1] (analytic) = 1.100121963652719 y2[1] (numeric) = 1.100121963652719 absolute error = 4.440892098500626e-16 relative error = 4.036727058657748e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100121963652719 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002885470058908712 relative error = 0.02622863786237053 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002999999999999 y2[1] (analytic) = 1.10013191339943 y2[1] (numeric) = 1.10013191339943 absolute error = 4.440892098500626e-16 relative error = 4.036690549934306e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.10013191339943 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0002984967526020732 relative error = 0.02713281461672283 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003099999999999 y2[1] (analytic) = 1.100141863136128 y2[1] (numeric) = 1.100141863136128 absolute error = 2.220446049250313e-16 relative error = 2.018327020953989e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100141863136128 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003084464892999517 relative error = 0.02803697410629173 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003199999999999 y2[1] (analytic) = 1.100151812862812 y2[1] (numeric) = 1.100151812862812 absolute error = 2.220446049250313e-16 relative error = 2.018308767289375e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100151812862812 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003183962159838405 relative error = 0.02894111633150981 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003299999999999 y2[1] (analytic) = 1.100161762579481 y2[1] (numeric) = 1.10016176257948 absolute error = 2.220446049250313e-16 relative error = 2.018290513973301e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100161762579481 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003283459326524074 relative error = 0.02984524129274909 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003399999999999 y2[1] (analytic) = 1.100171712286133 y2[1] (numeric) = 1.100171712286133 absolute error = 2.220446049250313e-16 relative error = 2.018272261005761e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100171712286133 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003382956393049863 relative error = 0.03074934899044216 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003499999999999 y2[1] (analytic) = 1.100181661982768 y2[1] (numeric) = 1.100181661982768 absolute error = 2.220446049250313e-16 relative error = 2.018254008386745e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100181661982768 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003482453359402449 relative error = 0.03165343942496101 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003599999999999 y2[1] (analytic) = 1.100191611669386 y2[1] (numeric) = 1.100191611669385 absolute error = 4.440892098500626e-16 relative error = 4.03647151223249e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100191611669386 y1[1] (numeric) = 1.099833416646828 absolute error = 0.000358195022557517 relative error = 0.03255751259673818 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003699999999999 y2[1] (analytic) = 1.100201561345984 y2[1] (numeric) = 1.100201561345983 absolute error = 4.440892098500626e-16 relative error = 4.036435008388509e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100201561345984 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003681446991554704 relative error = 0.03346156850614566 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003799999999999 y2[1] (analytic) = 1.100211511012561 y2[1] (numeric) = 1.100211511012561 absolute error = 4.440892098500626e-16 relative error = 4.036398505241528e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100211511012561 y1[1] (numeric) = 1.099833416646828 absolute error = 0.000378094365733217 relative error = 0.03436560715359577 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003899999999999 y2[1] (analytic) = 1.100221460669118 y2[1] (numeric) = 1.100221460669118 absolute error = 4.440892098500626e-16 relative error = 4.036362002791532e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100221460669118 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003880440222898685 relative error = 0.03526962853950086 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003999999999999 y2[1] (analytic) = 1.100231410315653 y2[1] (numeric) = 1.100231410315652 absolute error = 4.440892098500626e-16 relative error = 4.036325501038504e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100231410315653 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0003979936688243146 relative error = 0.03617363266425302 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004099999999998 y2[1] (analytic) = 1.100241359952164 y2[1] (numeric) = 1.100241359952163 absolute error = 6.661338147750939e-16 relative error = 6.05443349997364e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100241359952164 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004079433053358894 relative error = 0.03707761952828476 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004199999999998 y2[1] (analytic) = 1.100251309578651 y2[1] (numeric) = 1.100251309578651 absolute error = 6.661338147750939e-16 relative error = 6.054378749434931e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100251309578651 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004178929318230384 relative error = 0.03798158913194781 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004299999999998 y2[1] (analytic) = 1.100261259195113 y2[1] (numeric) = 1.100261259195113 absolute error = 6.661338147750939e-16 relative error = 6.054323999941599e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100261259195113 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004278425482850956 relative error = 0.03888554147567462 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004399999999998 y2[1] (analytic) = 1.100271208801549 y2[1] (numeric) = 1.100271208801549 absolute error = 6.661338147750939e-16 relative error = 6.054269251493622e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100271208801549 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004377921547211727 relative error = 0.03978947655987745 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004499999999998 y2[1] (analytic) = 1.100281158397958 y2[1] (numeric) = 1.100281158397957 absolute error = 6.661338147750939e-16 relative error = 6.054214504090977e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100281158397958 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004477417511299375 relative error = 0.04069339438492819 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004599999999998 y2[1] (analytic) = 1.100291107984339 y2[1] (numeric) = 1.100291107984338 absolute error = 6.661338147750939e-16 relative error = 6.054159757733636e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100291107984339 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004576913375107239 relative error = 0.04159729495125925 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004699999999998 y2[1] (analytic) = 1.100301057560691 y2[1] (numeric) = 1.10030105756069 absolute error = 6.661338147750939e-16 relative error = 6.054105012421577e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100301057560691 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004676409138624216 relative error = 0.04250117825926268 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004799999999998 y2[1] (analytic) = 1.100311007127012 y2[1] (numeric) = 1.100311007127011 absolute error = 6.661338147750939e-16 relative error = 6.054050268154776e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100311007127012 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004775904801839204 relative error = 0.04340504430933051 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004899999999998 y2[1] (analytic) = 1.100320956683303 y2[1] (numeric) = 1.100320956683302 absolute error = 6.661338147750939e-16 relative error = 6.053995524933207e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100320956683303 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004875400364743321 relative error = 0.04430889310187493 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004999999999998 y2[1] (analytic) = 1.100330906229561 y2[1] (numeric) = 1.10033090622956 absolute error = 6.661338147750939e-16 relative error = 6.053940782756847e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100330906229561 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0004974895827327686 relative error = 0.04521272463730813 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005099999999998 y2[1] (analytic) = 1.100340855765786 y2[1] (numeric) = 1.100340855765786 absolute error = 4.440892098500626e-16 relative error = 4.035924027750448e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100340855765786 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005074391189578975 relative error = 0.04611653891600194 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005199999999998 y2[1] (analytic) = 1.100350805291977 y2[1] (numeric) = 1.100350805291977 absolute error = 4.440892098500626e-16 relative error = 4.035887534359771e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100350805291977 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005173886451490528 relative error = 0.04702033593838868 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005299999999998 y2[1] (analytic) = 1.100360754808133 y2[1] (numeric) = 1.100360754808133 absolute error = 4.440892098500626e-16 relative error = 4.03585104166585e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100360754808133 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005273381613051242 relative error = 0.04792411570486033 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005399999999998 y2[1] (analytic) = 1.100370704314253 y2[1] (numeric) = 1.100370704314253 absolute error = 4.440892098500626e-16 relative error = 4.03581454966867e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100370704314253 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005372876674252236 relative error = 0.04882787821582901 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005499999999998 y2[1] (analytic) = 1.100380653810336 y2[1] (numeric) = 1.100380653810336 absolute error = 2.220446049250313e-16 relative error = 2.017889029184108e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100380653810336 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005472371635080187 relative error = 0.04973162347166651 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005599999999998 y2[1] (analytic) = 1.100390603296381 y2[1] (numeric) = 1.100390603296381 absolute error = 4.440892098500626e-16 relative error = 4.035741567764468e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100390603296381 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005571866495530653 relative error = 0.05063535147282529 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005699999999998 y2[1] (analytic) = 1.100400552772387 y2[1] (numeric) = 1.100400552772387 absolute error = 4.440892098500626e-16 relative error = 4.035705077857413e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100400552772387 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005671361255588092 relative error = 0.05153906221965692 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005799999999998 y2[1] (analytic) = 1.100410502238353 y2[1] (numeric) = 1.100410502238352 absolute error = 4.440892098500626e-16 relative error = 4.035668588647033e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100410502238353 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005770855915245843 relative error = 0.05244275571259365 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005899999999998 y2[1] (analytic) = 1.100420451694277 y2[1] (numeric) = 1.100420451694277 absolute error = 4.440892098500626e-16 relative error = 4.035632100133313e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100420451694277 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0005870350474492803 relative error = 0.05334643195202739 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005999999999998 y2[1] (analytic) = 1.10043040114016 y2[1] (numeric) = 1.10043040114016 absolute error = 4.440892098500626e-16 relative error = 4.035595612316236e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.10043040114016 y1[1] (numeric) = 1.099833416646828 absolute error = 0.000596984493332009 relative error = 0.05425009093837021 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006099999999998 y2[1] (analytic) = 1.100440350576 y2[1] (numeric) = 1.100440350575999 absolute error = 2.220446049250313e-16 relative error = 2.017779562597893e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.100440350576 y1[1] (numeric) = 1.099833416646828 absolute error = 0.0006069339291714382 relative error = 0.0551537326719938 % Correct digits = 3 h = 1e-05 Finished! Maximum Time Reached before Solution Completed! diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; Iterations = 61 Total Elapsed Time = 1 Minutes 1 Seconds Elapsed Time(since restart) = 1 Minutes 1 Seconds Expected Time Remaining = 5 Days 16 Hours 37 Minutes 54 Seconds Optimized Time Remaining = 5 Days 16 Hours 37 Minutes 54 Seconds Time to Timeout Unknown Percent Done = 0.0124 %