##############ECHO OF PROBLEM################# ##############temp/sinh_sqrtpostode.ode################# diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; /* 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_y (double x) { return(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.6551348095261786 y[1] (numeric) = 0.6551348095261786 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.6551395541906029 y[1] (numeric) = 0.655139554190603 absolute error = 1.110223024625157e-16 relative error = 1.694635925313333e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.6551442988671041 y[1] (numeric) = 0.655144298867104 absolute error = 1.110223024625157e-16 relative error = 1.694623652445711e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.6551490435556842 y[1] (numeric) = 0.6551490435556817 absolute error = 2.442490654175344e-15 relative error = 3.728145035394142e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.6551537882563345 y[1] (numeric) = 0.6551537882563361 absolute error = 1.554312234475219e-15 relative error = 2.372438750010068e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.655158532969069 y[1] (numeric) = 0.655158532969067 absolute error = 1.998401444325282e-15 relative error = 3.05025630249958e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.6551632776938769 y[1] (numeric) = 0.6551632776938746 absolute error = 2.331468351712829e-15 relative error = 3.558606581124958e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.6551680224307601 y[1] (numeric) = 0.6551680224307588 absolute error = 1.332267629550188e-15 relative error = 2.033474748366531e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.6551727671797216 y[1] (numeric) = 0.6551727671797195 absolute error = 2.109423746787797e-15 relative error = 3.219645034802183e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.6551775119407572 y[1] (numeric) = 0.6551775119407568 absolute error = 4.440892098500626e-16 relative error = 6.778150985899806e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.6551822567138716 y[1] (numeric) = 0.6551822567138706 absolute error = 9.992007221626409e-16 relative error = 1.525072927301521e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.6551870014990615 y[1] (numeric) = 0.655187001499061 absolute error = 5.551115123125783e-16 relative error = 8.472566016152465e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.6551917462963279 y[1] (numeric) = 0.6551917462963277 absolute error = 2.220446049250313e-16 relative error = 3.389001863656044e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.6551964911056738 y[1] (numeric) = 0.6551964911056709 absolute error = 2.886579864025407e-15 relative error = 4.405670517487315e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.6552012359270916 y[1] (numeric) = 0.6552012359270906 absolute error = 9.992007221626409e-16 relative error = 1.52502875051632e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.6552059807605872 y[1] (numeric) = 0.6552059807605867 absolute error = 5.551115123125783e-16 relative error = 8.472320592498017e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.6552107256061601 y[1] (numeric) = 0.6552107256061591 absolute error = 9.992007221626409e-16 relative error = 1.525006662914809e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.6552154704638091 y[1] (numeric) = 0.6552154704638079 absolute error = 1.221245327087672e-15 relative error = 1.863883534714444e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.6552202153335347 y[1] (numeric) = 0.655220215333533 absolute error = 1.665334536937735e-15 relative error = 2.541640959734445e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.6552249602153348 y[1] (numeric) = 0.6552249602153345 absolute error = 3.33066907387547e-16 relative error = 5.08324510833786e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.6552297051092122 y[1] (numeric) = 0.6552297051092122 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.6552344500151657 y[1] (numeric) = 0.6552344500151662 absolute error = 5.551115123125783e-16 relative error = 8.47195247899023e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.6552391949331973 y[1] (numeric) = 0.6552391949331965 absolute error = 7.771561172376096e-16 relative error = 1.186064758102332e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.655243939863305 y[1] (numeric) = 0.655243939863303 absolute error = 1.998401444325282e-15 relative error = 3.049858720924885e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.6552486848054861 y[1] (numeric) = 0.6552486848054856 absolute error = 5.551115123125783e-16 relative error = 8.471768432123842e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.6552534297597452 y[1] (numeric) = 0.6552534297597444 absolute error = 7.771561172376096e-16 relative error = 1.186038991848637e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.6552581747260806 y[1] (numeric) = 0.6552581747260794 absolute error = 1.221245327087672e-15 relative error = 1.863762062332443e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.6552629197044912 y[1] (numeric) = 0.6552629197044905 absolute error = 7.771561172376096e-16 relative error = 1.186021814858819e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.65526766469498 y[1] (numeric) = 0.6552676646949777 absolute error = 2.331468351712829e-15 relative error = 3.558039679553091e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.6552724096975433 y[1] (numeric) = 0.655272409697541 absolute error = 2.331468351712829e-15 relative error = 3.558013914837303e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.6552771547121818 y[1] (numeric) = 0.6552771547121803 absolute error = 1.554312234475219e-15 relative error = 2.371992100286056e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.6552818997388974 y[1] (numeric) = 0.6552818997388957 absolute error = 1.665334536937735e-15 relative error = 2.541401704520301e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.6552866447776882 y[1] (numeric) = 0.6552866447776872 absolute error = 9.992007221626409e-16 relative error = 1.524829981086565e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.6552913898285566 y[1] (numeric) = 0.6552913898285546 absolute error = 1.998401444325282e-15 relative error = 3.049637879185506e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.6552961348914981 y[1] (numeric) = 0.655296134891498 absolute error = 1.110223024625157e-16 relative error = 1.69423099803417e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.6553008799665172 y[1] (numeric) = 0.6553008799665173 absolute error = 1.110223024625157e-16 relative error = 1.694218730000612e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.6553056250536158 y[1] (numeric) = 0.6553056250536126 absolute error = 3.219646771412954e-15 relative error = 4.913198740129125e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.6553103701527863 y[1] (numeric) = 0.6553103701527837 absolute error = 2.55351295663786e-15 relative error = 3.896646647057494e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.6553151152640297 y[1] (numeric) = 0.6553151152640307 absolute error = 9.992007221626409e-16 relative error = 1.524763734100743e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.6553198603873533 y[1] (numeric) = 0.6553198603873536 absolute error = 2.220446049250313e-16 relative error = 3.38833931866162e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.6553246055227548 y[1] (numeric) = 0.6553246055227523 absolute error = 2.55351295663786e-15 relative error = 3.896562001667728e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.6553293506702271 y[1] (numeric) = 0.6553293506702268 absolute error = 3.33066907387547e-16 relative error = 5.08243537462359e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.6553340958297766 y[1] (numeric) = 0.6553340958297771 absolute error = 4.440892098500626e-16 relative error = 6.776531431464159e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.6553388410014023 y[1] (numeric) = 0.655338841001403 absolute error = 7.771561172376096e-16 relative error = 1.185884413702784e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.6553435861851058 y[1] (numeric) = 0.6553435861851048 absolute error = 9.992007221626409e-16 relative error = 1.5246974918595e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.6553483313808808 y[1] (numeric) = 0.6553483313808822 absolute error = 1.443289932012704e-15 relative error = 2.202324875034862e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.6553530765887361 y[1] (numeric) = 0.6553530765887353 absolute error = 7.771561172376096e-16 relative error = 1.185858653907427e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.6553578218086658 y[1] (numeric) = 0.6553578218086641 absolute error = 1.665334536937735e-15 relative error = 2.541107287529919e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.65536256704067 y[1] (numeric) = 0.6553625670406685 absolute error = 1.443289932012704e-15 relative error = 2.202277036556983e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.655367312284747 y[1] (numeric) = 0.6553673122847486 absolute error = 1.665334536937735e-15 relative error = 2.541070489359672e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.6553720575409043 y[1] (numeric) = 0.6553720575409043 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.6553768028091362 y[1] (numeric) = 0.6553768028091356 absolute error = 6.661338147750939e-16 relative error = 1.016413476827147e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.655381548089442 y[1] (numeric) = 0.6553815480894424 absolute error = 3.33066907387547e-16 relative error = 5.082030587502782e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.6553862933818266 y[1] (numeric) = 0.6553862933818247 absolute error = 1.887379141862766e-15 relative error = 2.879796481741774e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.6553910386862829 y[1] (numeric) = 0.6553910386862826 absolute error = 3.33066907387547e-16 relative error = 5.081956995554476e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.6553957840028155 y[1] (numeric) = 0.6553957840028158 absolute error = 3.33066907387547e-16 relative error = 5.08192020023913e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.655400529331424 y[1] (numeric) = 0.6554005293314246 absolute error = 5.551115123125783e-16 relative error = 8.469805675604948e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.6554052746721095 y[1] (numeric) = 0.6554052746721087 absolute error = 7.771561172376096e-16 relative error = 1.185764209216062e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.6554100200248691 y[1] (numeric) = 0.6554100200248684 absolute error = 7.771561172376096e-16 relative error = 1.185755623949907e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.6554147653897029 y[1] (numeric) = 0.6554147653897033 absolute error = 4.440892098500626e-16 relative error = 6.775697364492723e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.655419510766615 y[1] (numeric) = 0.6554195107666136 absolute error = 1.332267629550188e-15 relative error = 2.03269449210002e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.6554242561555983 y[1] (numeric) = 0.6554242561555993 absolute error = 9.992007221626409e-16 relative error = 1.524509831270922e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.6554290015566628 y[1] (numeric) = 0.6554290015566603 absolute error = 2.55351295663786e-15 relative error = 3.895941361418541e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.6554337469697975 y[1] (numeric) = 0.6554337469697966 absolute error = 8.881784197001252e-16 relative error = 1.355100227607067e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.6554384923950094 y[1] (numeric) = 0.6554384923950082 absolute error = 1.221245327087672e-15 relative error = 1.863249322793314e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.6554432378322967 y[1] (numeric) = 0.655443237832295 absolute error = 1.77635683940025e-15 relative error = 2.710161211327888e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.6554479832816584 y[1] (numeric) = 0.655447983281657 absolute error = 1.443289932012704e-15 relative error = 2.201990041660552e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.6554527287430938 y[1] (numeric) = 0.6554527287430942 absolute error = 4.440892098500626e-16 relative error = 6.77530492094609e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.6554574742166088 y[1] (numeric) = 0.6554574742166067 absolute error = 2.109423746787797e-15 relative error = 3.218246537365286e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.6554622197021953 y[1] (numeric) = 0.6554622197021943 absolute error = 9.992007221626409e-16 relative error = 1.524421533580716e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.6554669651998604 y[1] (numeric) = 0.655466965199857 absolute error = 3.33066907387547e-15 relative error = 5.081368323207419e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.6554717107095986 y[1] (numeric) = 0.6554717107095949 absolute error = 3.774758283725532e-15 relative error = 5.758842406240638e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.6554764562314102 y[1] (numeric) = 0.6554764562314078 absolute error = 2.331468351712829e-15 relative error = 3.556906322947662e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.6554812017652984 y[1] (numeric) = 0.6554812017652958 absolute error = 2.664535259100376e-15 relative error = 4.065006367725613e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.6554859473112613 y[1] (numeric) = 0.6554859473112589 absolute error = 2.442490654175344e-15 relative error = 3.726228859969005e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.6554906928692987 y[1] (numeric) = 0.655490692869297 absolute error = 1.77635683940025e-15 relative error = 2.70996500594776e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.65549543843941 y[1] (numeric) = 0.65549543843941 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.6555001840215977 y[1] (numeric) = 0.655500184021598 absolute error = 3.33066907387547e-16 relative error = 5.081110814403264e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.6555049296158617 y[1] (numeric) = 0.655504929615861 absolute error = 6.661338147750939e-16 relative error = 1.01621480583748e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.6555096752222003 y[1] (numeric) = 0.6555096752221989 absolute error = 1.332267629550188e-15 relative error = 2.032414897764224e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.655514420840613 y[1] (numeric) = 0.6555144208406117 absolute error = 1.221245327087672e-15 relative error = 1.863033502026671e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.6555191664711009 y[1] (numeric) = 0.6555191664710994 absolute error = 1.443289932012704e-15 relative error = 2.201750926342033e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.6555239121136629 y[1] (numeric) = 0.655523912113662 absolute error = 8.881784197001252e-16 relative error = 1.354913838057096e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.6555286577683008 y[1] (numeric) = 0.6555286577682994 absolute error = 1.443289932012704e-15 relative error = 2.201719047533754e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.6555334034350129 y[1] (numeric) = 0.6555334034350115 absolute error = 1.332267629550188e-15 relative error = 2.032341330844575e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.6555381491138002 y[1] (numeric) = 0.6555381491137985 absolute error = 1.665334536937735e-15 relative error = 2.540408272484285e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.6555428948046618 y[1] (numeric) = 0.6555428948046602 absolute error = 1.554312234475219e-15 relative error = 2.371030556190182e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.6555476405075964 y[1] (numeric) = 0.6555476405075967 absolute error = 3.33066907387547e-16 relative error = 5.080742981999756e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.6555523862226076 y[1] (numeric) = 0.6555523862226079 absolute error = 3.33066907387547e-16 relative error = 5.080706201173778e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.655557131949696 y[1] (numeric) = 0.6555571319496938 absolute error = 2.220446049250313e-15 relative error = 3.387112947191151e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.6555618776888552 y[1] (numeric) = 0.6555618776888543 absolute error = 8.881784197001252e-16 relative error = 1.354835370890305e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.6555666234400899 y[1] (numeric) = 0.6555666234400895 absolute error = 3.33066907387547e-16 relative error = 5.080595861329491e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.6555713692034 y[1] (numeric) = 0.6555713692033994 absolute error = 5.551115123125783e-16 relative error = 8.467598470432093e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.6555761149787833 y[1] (numeric) = 0.6555761149787839 absolute error = 5.551115123125783e-16 relative error = 8.467537172713249e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.6555808607662428 y[1] (numeric) = 0.6555808607662429 absolute error = 1.110223024625157e-16 relative error = 1.693495175145181e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.655585606565779 y[1] (numeric) = 0.6555856065657765 absolute error = 2.55351295663786e-15 relative error = 3.895010706556215e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.6555903523773867 y[1] (numeric) = 0.6555903523773846 absolute error = 2.109423746787797e-15 relative error = 3.217594247899365e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.655595098201069 y[1] (numeric) = 0.6555950982010672 absolute error = 1.77635683940025e-15 relative error = 2.70953343652891e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.6555998440368274 y[1] (numeric) = 0.6555998440368244 absolute error = 2.997602166487923e-15 relative error = 4.572304575349376e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.6556045898846579 y[1] (numeric) = 0.655604589884656 absolute error = 1.887379141862766e-15 relative error = 2.878837596598916e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.6556093357445629 y[1] (numeric) = 0.655609335744562 absolute error = 8.881784197001252e-16 relative error = 1.354737297466086e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); Iterations = 100 Total Elapsed Time = 22 Seconds Elapsed Time(since restart) = 22 Seconds Expected Time Remaining = 1 Days 5 Hours 38 Minutes 30 Seconds Optimized Time Remaining = 1 Days 4 Hours 17 Minutes 40 Seconds Time to Timeout = 38 Seconds Percent Done = 0.02061 %