##############ECHO OF PROBLEM################# ##############temp/mtest9_revpostode.ode################# diff(y2,x,1) = y1 - 2.0; diff(y1,x,1) = diff(y2,x,5); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.5; x_end = 10.0; 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); array_y2_init[4 + 1] = exact_soln_y2pppp(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; glob_subiter_method = 3; /* 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(2.0 + sin(x)); } double exact_soln_y2 (double x) { return(2.0 - cos(x)); } double exact_soln_y2p (double x) { return(sin(x)); } double exact_soln_y2pp (double x) { return(cos(x)); } double exact_soln_y2ppp (double x) { return(-sin(x)); } double exact_soln_y2pppp (double x) { return(-cos(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.5 y2[1] (analytic) = 1.122417438109627 y2[1] (numeric) = 1.122417438109627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 2.479425538604203 y1[1] (numeric) = 2.479425538604203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 x[1] = 0.5 y2[1] (analytic) = 1.122417438109627 y2[1] (numeric) = 1.122417438109627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 2.479425538604203 y1[1] (numeric) = 2.479425538604203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.50001 y2[1] (analytic) = 1.122422232408892 y2[1] (numeric) = 1.122422232408892 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 2.479434314405851 y1[1] (numeric) = 2.479425538604203 absolute error = 8.775801647598058e-06 relative error = 0.0003539437038767051 % Correct digits = 5 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000199999999999 y2[1] (analytic) = 1.122427026795915 y2[1] (numeric) = 1.122427026795915 absolute error = 2.220446049250313e-16 relative error = 1.978254261739231e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479443090159554 y1[1] (numeric) = 2.479425538604203 absolute error = 1.755155535132502e-05 relative error = 0.0007078829685982251 % Correct digits = 5 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000299999999999 y2[1] (analytic) = 1.122431821270695 y2[1] (numeric) = 1.122431821270695 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 2.479451865865314 y1[1] (numeric) = 2.479425538604203 absolute error = 2.632726111118089e-05 relative error = 0.001061817794232228 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000399999999998 y2[1] (analytic) = 1.122436615833232 y2[1] (numeric) = 1.122436615833232 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 2.479460641523129 y1[1] (numeric) = 2.479425538604203 absolute error = 3.510291892583339e-05 relative error = 0.001415748180792647 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000499999999998 y2[1] (analytic) = 1.122441410483526 y2[1] (numeric) = 1.122441410483526 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 2.479469417132997 y1[1] (numeric) = 2.479425538604203 absolute error = 4.387852879395027e-05 relative error = 0.001769674128293418 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000599999999997 y2[1] (analytic) = 1.122446205221575 y2[1] (numeric) = 1.122446205221575 absolute error = 2.220446049250313e-16 relative error = 1.978220460740913e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479478192694919 y1[1] (numeric) = 2.479425538604203 absolute error = 5.265409071553151e-05 relative error = 0.002123595636802207 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000699999999997 y2[1] (analytic) = 1.122451000047379 y2[1] (numeric) = 1.12245100004738 absolute error = 2.220446049250313e-16 relative error = 1.978212010285159e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479486968208892 y1[1] (numeric) = 2.479425538604203 absolute error = 6.142960468924485e-05 relative error = 0.002477512706332946 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000799999999996 y2[1] (analytic) = 1.122455794960939 y2[1] (numeric) = 1.122455794960939 absolute error = 2.220446049250313e-16 relative error = 1.978203559746942e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479495743674917 y1[1] (numeric) = 2.479425538604203 absolute error = 7.020507071420212e-05 relative error = 0.002831425336917481 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000899999999996 y2[1] (analytic) = 1.122460589962253 y2[1] (numeric) = 1.122460589962253 absolute error = 2.220446049250313e-16 relative error = 1.978195109126268e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479504519092993 y1[1] (numeric) = 2.479425538604203 absolute error = 7.898048878951514e-05 relative error = 0.003185333528587653 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5000999999999995 y2[1] (analytic) = 1.12246538505132 y2[1] (numeric) = 1.122465385051321 absolute error = 2.220446049250313e-16 relative error = 1.978186658423138e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479513294463118 y1[1] (numeric) = 2.479425538604203 absolute error = 8.77558589147398e-05 relative error = 0.003539237281393215 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001099999999995 y2[1] (analytic) = 1.122470180228142 y2[1] (numeric) = 1.122470180228142 absolute error = 4.440892098500626e-16 relative error = 3.956356415275118e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479522069785291 y1[1] (numeric) = 2.479425538604203 absolute error = 9.653118108809977e-05 relative error = 0.003893136595330191 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001199999999995 y2[1] (analytic) = 1.122474975492716 y2[1] (numeric) = 1.122474975492716 absolute error = 4.440892098500626e-16 relative error = 3.956339513539066e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479530845059513 y1[1] (numeric) = 2.479425538604203 absolute error = 0.000105306455309595 relative error = 0.004247031470466242 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001299999999994 y2[1] (analytic) = 1.122479770845043 y2[1] (numeric) = 1.122479770845043 absolute error = 4.440892098500626e-16 relative error = 3.956322611638128e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479539620285781 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001140816815778933 relative error = 0.004600921906815297 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001399999999994 y2[1] (analytic) = 1.122484566285121 y2[1] (numeric) = 1.122484566285122 absolute error = 4.440892098500626e-16 relative error = 3.956305709572312e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479548395464096 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001228568598925506 relative error = 0.00495480790442711 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001499999999993 y2[1] (analytic) = 1.122489361812952 y2[1] (numeric) = 1.122489361812952 absolute error = 6.661338147750939e-16 relative error = 5.934433211012439e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479557170594455 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001316319902517904 relative error = 0.0053086894632977 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001599999999993 y2[1] (analytic) = 1.122494157428533 y2[1] (numeric) = 1.122494157428534 absolute error = 6.661338147750939e-16 relative error = 5.934407857419119e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479565945676859 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001404070726560569 relative error = 0.005662566583512636 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001699999999992 y2[1] (analytic) = 1.122498953131865 y2[1] (numeric) = 1.122498953131866 absolute error = 6.661338147750939e-16 relative error = 5.934382503578516e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479574720711306 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001491821071031296 relative error = 0.006016439265050029 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001799999999992 y2[1] (analytic) = 1.122503748922947 y2[1] (numeric) = 1.122503748922948 absolute error = 6.661338147750939e-16 relative error = 5.934357149490643e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479583495697796 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001579570935930086 relative error = 0.006370307507977537 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001899999999991 y2[1] (analytic) = 1.122508544801779 y2[1] (numeric) = 1.122508544801779 absolute error = 4.440892098500626e-16 relative error = 3.95622119677034e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479592270636327 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001667320321243615 relative error = 0.00672417131230909 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5001999999999991 y2[1] (analytic) = 1.12251334076836 y2[1] (numeric) = 1.12251334076836 absolute error = 4.440892098500626e-16 relative error = 3.956204293715421e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479601045526899 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001755069226963002 relative error = 0.007078030678076525 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.500209999999999 y2[1] (analytic) = 1.122518136822689 y2[1] (numeric) = 1.12251813682269 absolute error = 4.440892098500626e-16 relative error = 3.956187390495679e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479609820369511 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001842817653083806 relative error = 0.007431885605329589 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.500219999999999 y2[1] (analytic) = 1.122522932964767 y2[1] (numeric) = 1.122522932964767 absolute error = 4.440892098500626e-16 relative error = 3.956170487111122e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479618595164163 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0001930565599597145 relative error = 0.007785736094100118 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.500229999999999 y2[1] (analytic) = 1.122527729194592 y2[1] (numeric) = 1.122527729194593 absolute error = 4.440892098500626e-16 relative error = 3.956153583561755e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479627369910852 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002018313066489696 relative error = 0.00813958214440204 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002399999999989 y2[1] (analytic) = 1.122532525512165 y2[1] (numeric) = 1.122532525512165 absolute error = 6.661338147750939e-16 relative error = 5.934205019771386e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479636144609578 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002106060053752579 relative error = 0.008493423756267193 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002499999999989 y2[1] (analytic) = 1.122537321917484 y2[1] (numeric) = 1.122537321917485 absolute error = 6.661338147750939e-16 relative error = 5.934179663952949e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479644919260341 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002193806561381351 relative error = 0.008847260929745322 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002599999999988 y2[1] (analytic) = 1.12254211841055 y2[1] (numeric) = 1.12254211841055 absolute error = 6.661338147750939e-16 relative error = 5.934154307887335e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.47965369386314 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002281552589367131 relative error = 0.009201093664868256 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002699999999988 y2[1] (analytic) = 1.122546914991361 y2[1] (numeric) = 1.122546914991362 absolute error = 6.661338147750939e-16 relative error = 5.934128951574556e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479662468417973 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002369298137696596 relative error = 0.009554921961649929 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002799999999987 y2[1] (analytic) = 1.122551711659918 y2[1] (numeric) = 1.122551711659919 absolute error = 6.661338147750939e-16 relative error = 5.934103595014624e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.47967124292484 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002457043206365306 relative error = 0.009908745820140079 % Correct digits = 4 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002899999999987 y2[1] (analytic) = 1.122556508416219 y2[1] (numeric) = 1.12255650841622 absolute error = 6.661338147750939e-16 relative error = 5.93407823820755e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479680017383739 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002544787795359937 relative error = 0.01026256524035263 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5002999999999986 y2[1] (analytic) = 1.122561305260265 y2[1] (numeric) = 1.122561305260266 absolute error = 6.661338147750939e-16 relative error = 5.934052881153346e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479688791794671 y1[1] (numeric) = 2.479425538604203 absolute error = 0.000263253190467605 relative error = 0.01061638022233733 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003099999999986 y2[1] (analytic) = 1.122566102192055 y2[1] (numeric) = 1.122566102192056 absolute error = 6.661338147750939e-16 relative error = 5.934027523852023e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479697566157633 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002720275534304761 relative error = 0.01097019076612601 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003199999999985 y2[1] (analytic) = 1.122570899211588 y2[1] (numeric) = 1.122570899211589 absolute error = 6.661338147750939e-16 relative error = 5.934002166303594e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479706340472627 y1[1] (numeric) = 2.479425538604203 absolute error = 0.000280801868423719 relative error = 0.0113239968717505 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003299999999985 y2[1] (analytic) = 1.122575696318864 y2[1] (numeric) = 1.122575696318865 absolute error = 6.661338147750939e-16 relative error = 5.93397680850807e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479715114739649 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002895761354460014 relative error = 0.01167779853922472 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003399999999985 y2[1] (analytic) = 1.122580493513883 y2[1] (numeric) = 1.122580493513884 absolute error = 6.661338147750939e-16 relative error = 5.933951450465461e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.4797238889587 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0002983503544968791 relative error = 0.01203159576859842 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003499999999984 y2[1] (analytic) = 1.122585290796643 y2[1] (numeric) = 1.122585290796644 absolute error = 6.661338147750939e-16 relative error = 5.933926092175781e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479732663129778 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003071245255750199 relative error = 0.01238538855988551 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003599999999984 y2[1] (analytic) = 1.122590088167145 y2[1] (numeric) = 1.122590088167146 absolute error = 6.661338147750939e-16 relative error = 5.933900733639041e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479741437252883 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003158986486804238 relative error = 0.01273917691315365 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003699999999983 y2[1] (analytic) = 1.122594885625388 y2[1] (numeric) = 1.122594885625389 absolute error = 6.661338147750939e-16 relative error = 5.933875374855252e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479750211328014 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003246727238113145 relative error = 0.01309296082839885 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003799999999983 y2[1] (analytic) = 1.122599683171372 y2[1] (numeric) = 1.122599683171372 absolute error = 4.440892098500626e-16 relative error = 3.955900010549617e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479758985355171 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003334467509676919 relative error = 0.01344674030568874 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003899999999982 y2[1] (analytic) = 1.122604480805095 y2[1] (numeric) = 1.122604480805096 absolute error = 4.440892098500626e-16 relative error = 3.955883104364382e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479767759334351 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003422207301477798 relative error = 0.01380051534501936 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5003999999999982 y2[1] (analytic) = 1.122609278526558 y2[1] (numeric) = 1.122609278526559 absolute error = 4.440892098500626e-16 relative error = 3.955866198014473e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479776533265554 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003509946613511339 relative error = 0.01415428594644043 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004099999999981 y2[1] (analytic) = 1.12261407633576 y2[1] (numeric) = 1.122614076335761 absolute error = 4.440892098500626e-16 relative error = 3.955849291499895e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.47978530714878 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003597685445768661 relative error = 0.01450805210998377 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004199999999981 y2[1] (analytic) = 1.122618874232701 y2[1] (numeric) = 1.122618874232701 absolute error = 4.440892098500626e-16 relative error = 3.955832384820657e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479794080984027 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003685423798240883 relative error = 0.01486181383568123 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.500429999999998 y2[1] (analytic) = 1.12262367221738 y2[1] (numeric) = 1.12262367221738 absolute error = 4.440892098500626e-16 relative error = 3.955815477976765e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479802854771295 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003773161670919123 relative error = 0.01521557112356462 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.500439999999998 y2[1] (analytic) = 1.122628470289796 y2[1] (numeric) = 1.122628470289797 absolute error = 6.661338147750939e-16 relative error = 5.933697856452346e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479811628510582 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003860899063794498 relative error = 0.01556932397366578 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.500449999999998 y2[1] (analytic) = 1.12263326844995 y2[1] (numeric) = 1.12263326844995 absolute error = 6.661338147750939e-16 relative error = 5.933672495692586e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479820402201889 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0003948635976858128 relative error = 0.01592307238601652 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004599999999979 y2[1] (analytic) = 1.12263806669784 y2[1] (numeric) = 1.122638066697841 absolute error = 6.661338147750939e-16 relative error = 5.933647134685883e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479829175845213 y1[1] (numeric) = 2.479425538604203 absolute error = 0.000403637241010113 relative error = 0.01627681636064868 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004699999999979 y2[1] (analytic) = 1.122642865033467 y2[1] (numeric) = 1.122642865033467 absolute error = 6.661338147750939e-16 relative error = 5.933621773432249e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479837949440554 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004124108363514623 relative error = 0.01663055589759408 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004799999999978 y2[1] (analytic) = 1.122647663456829 y2[1] (numeric) = 1.122647663456829 absolute error = 6.661338147750939e-16 relative error = 5.933596411931694e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479846722987912 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004211843837089724 relative error = 0.01698429099688455 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004899999999978 y2[1] (analytic) = 1.122652461967926 y2[1] (numeric) = 1.122652461967927 absolute error = 6.661338147750939e-16 relative error = 5.93357105018423e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479855496487285 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004299578830817552 relative error = 0.0173380216585519 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5004999999999977 y2[1] (analytic) = 1.122657260566758 y2[1] (numeric) = 1.122657260566759 absolute error = 6.661338147750939e-16 relative error = 5.933545688189869e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479864269938672 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004387313344689225 relative error = 0.01769174788262797 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005099999999977 y2[1] (analytic) = 1.122662059253325 y2[1] (numeric) = 1.122662059253325 absolute error = 6.661338147750939e-16 relative error = 5.933520325948623e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479873043342073 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004475047378700303 relative error = 0.01804546966916248 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005199999999976 y2[1] (analytic) = 1.122666858027625 y2[1] (numeric) = 1.122666858027626 absolute error = 6.661338147750939e-16 relative error = 5.933494963460502e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479881816697487 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004562780932837462 relative error = 0.01839918701816935 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005299999999976 y2[1] (analytic) = 1.122671656889658 y2[1] (numeric) = 1.122671656889659 absolute error = 6.661338147750939e-16 relative error = 5.93346960072552e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479890590004912 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004650514007091822 relative error = 0.01875289992968041 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005399999999975 y2[1] (analytic) = 1.122676455839425 y2[1] (numeric) = 1.122676455839426 absolute error = 8.881784197001252e-16 relative error = 7.911258983658249e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479899363264348 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004738246601454499 relative error = 0.01910660840372747 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005499999999975 y2[1] (analytic) = 1.122681254876923 y2[1] (numeric) = 1.122681254876924 absolute error = 8.881784197001252e-16 relative error = 7.91122516602002e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479908136475795 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004825978715921053 relative error = 0.01946031244036026 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005599999999975 y2[1] (analytic) = 1.122686054002154 y2[1] (numeric) = 1.122686054002155 absolute error = 6.661338147750939e-16 relative error = 5.933393511039514e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479916909639251 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0004913710350478162 relative error = 0.01981401203959269 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005699999999974 y2[1] (analytic) = 1.122690853215116 y2[1] (numeric) = 1.122690853215117 absolute error = 6.661338147750939e-16 relative error = 5.9333681473172e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479925682754715 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0005001441505116944 relative error = 0.0201677072014566 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005799999999974 y2[1] (analytic) = 1.122695652515809 y2[1] (numeric) = 1.12269565251581 absolute error = 6.661338147750939e-16 relative error = 5.93334278334808e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479934455822186 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0005089172179828516 relative error = 0.0205213979259838 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005899999999973 y2[1] (analytic) = 1.122700451904232 y2[1] (numeric) = 1.122700451904233 absolute error = 6.661338147750939e-16 relative error = 5.933317419132169e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479943228841664 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0005176902374608439 relative error = 0.02087508421322401 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5005999999999973 y2[1] (analytic) = 1.122705251380386 y2[1] (numeric) = 1.122705251380386 absolute error = 6.661338147750939e-16 relative error = 5.933292054669476e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479952001813147 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0005264632089443388 relative error = 0.02122876606319114 % Correct digits = 3 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5006099999999972 y2[1] (analytic) = 1.122710050944268 y2[1] (numeric) = 1.122710050944269 absolute error = 8.881784197001252e-16 relative error = 7.911022253280022e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 2.479960774736636 y1[1] (numeric) = 2.479425538604203 absolute error = 0.0005352361324328925 relative error = 0.02158244347593493 % Correct digits = 3 h = 1e-05 Finished! Maximum Time Reached before Solution Completed! diff(y2,x,1) = y1 - 2.0; diff(y1,x,1) = diff(y2,x,5); Iterations = 61 Total Elapsed Time = 1 Minutes 1 Seconds Elapsed Time(since restart) = 1 Minutes 0 Seconds Expected Time Remaining = 10 Days 19 Hours 36 Minutes 56 Seconds Optimized Time Remaining = 10 Days 15 Hours 21 Minutes 34 Seconds Time to Timeout Unknown Percent Done = 0.006526 %