##############ECHO OF PROBLEM################# ##############temp/sin_sqrt_linpostode.ode################# diff ( y , x , 1 ) = sin(sqrt(2.0*x + 3.0)); ! // 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(sin(sqrt(2.0*x+3.0))-sqrt(2.0*x+3.0)*cos(sqrt(2.0*x+3.0))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.363309554731651 y[1] (numeric) = 1.363309554731651 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 1.363319317919592 y[1] (numeric) = 1.363319317919592 absolute error = 2.220446049250313e-16 relative error = 1.628705777189958e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.36332908109544 y[1] (numeric) = 1.36332908109544 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.363338844259194 y[1] (numeric) = 1.363338844259194 absolute error = 2.220446049250313e-16 relative error = 1.628682450148225e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.363348607410853 y[1] (numeric) = 1.363348607410853 absolute error = 2.220446049250313e-16 relative error = 1.628670786899604e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.363358370550418 y[1] (numeric) = 1.363358370550418 absolute error = 4.440892098500626e-16 relative error = 3.257318247664948e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.363368133677889 y[1] (numeric) = 1.363368133677889 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.363377896793263 y[1] (numeric) = 1.363377896793264 absolute error = 4.440892098500626e-16 relative error = 3.257271596485346e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.363387659896543 y[1] (numeric) = 1.363387659896544 absolute error = 2.220446049250313e-16 relative error = 1.628624135719994e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.363397422987728 y[1] (numeric) = 1.363397422987728 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.363407186066816 y[1] (numeric) = 1.363407186066816 absolute error = 4.440892098500626e-16 relative error = 3.257201622438121e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.363416949133808 y[1] (numeric) = 1.363416949133808 absolute error = 2.220446049250313e-16 relative error = 1.628589149240798e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.363426712188704 y[1] (numeric) = 1.363426712188704 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.363436475231504 y[1] (numeric) = 1.363436475231504 absolute error = 2.220446049250313e-16 relative error = 1.628565825828661e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.363446238262206 y[1] (numeric) = 1.363446238262206 absolute error = 2.220446049250313e-16 relative error = 1.62855416439478e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.363456001280811 y[1] (numeric) = 1.363456001280811 absolute error = 2.220446049250313e-16 relative error = 1.628542503142352e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.363465764287319 y[1] (numeric) = 1.363465764287319 absolute error = 2.220446049250313e-16 relative error = 1.628530842071371e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.363475527281729 y[1] (numeric) = 1.363475527281729 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.363485290264041 y[1] (numeric) = 1.363485290264041 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.363495053234254 y[1] (numeric) = 1.363495053234254 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.36350481619237 y[1] (numeric) = 1.36350481619237 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.363514579138386 y[1] (numeric) = 1.363514579138386 absolute error = 4.440892098500626e-16 relative error = 3.256945078876132e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.363524342072304 y[1] (numeric) = 1.363524342072304 absolute error = 2.220446049250313e-16 relative error = 1.628460879455696e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.363534104994121 y[1] (numeric) = 1.363534104994122 absolute error = 2.220446049250313e-16 relative error = 1.628449219654749e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.36354386790384 y[1] (numeric) = 1.36354386790384 absolute error = 2.220446049250313e-16 relative error = 1.628437560035218e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.363553630801458 y[1] (numeric) = 1.363553630801459 absolute error = 2.220446049250313e-16 relative error = 1.628425900597102e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.363563393686977 y[1] (numeric) = 1.363563393686977 absolute error = 2.220446049250313e-16 relative error = 1.628414241340395e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.363573156560395 y[1] (numeric) = 1.363573156560395 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.363582919421712 y[1] (numeric) = 1.363582919421713 absolute error = 2.220446049250313e-16 relative error = 1.628390923371196e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.363592682270929 y[1] (numeric) = 1.363592682270929 absolute error = 2.220446049250313e-16 relative error = 1.628379264658695e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.363602445108044 y[1] (numeric) = 1.363602445108045 absolute error = 4.440892098500626e-16 relative error = 3.256735212255178e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.363612207933058 y[1] (numeric) = 1.363612207933058 absolute error = 2.220446049250313e-16 relative error = 1.628355947777873e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.363621970745971 y[1] (numeric) = 1.36362197074597 absolute error = 2.220446049250313e-16 relative error = 1.628344289609543e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.36363173354678 y[1] (numeric) = 1.363631733546781 absolute error = 4.440892098500626e-16 relative error = 3.256665263245195e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.363641496335488 y[1] (numeric) = 1.363641496335489 absolute error = 2.220446049250313e-16 relative error = 1.628320973817029e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.363651259112094 y[1] (numeric) = 1.363651259112094 absolute error = 4.440892098500626e-16 relative error = 3.256618632385672e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.363661021876596 y[1] (numeric) = 1.363661021876597 absolute error = 4.440892098500626e-16 relative error = 3.256595317500028e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.363670784628996 y[1] (numeric) = 1.363670784628996 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.363680547369292 y[1] (numeric) = 1.363680547369292 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.363690310097484 y[1] (numeric) = 1.363690310097485 absolute error = 2.220446049250313e-16 relative error = 1.628262687509734e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.363700072813573 y[1] (numeric) = 1.363700072813573 absolute error = 2.220446049250313e-16 relative error = 1.628251030792357e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.363709835517558 y[1] (numeric) = 1.363709835517558 absolute error = 2.220446049250313e-16 relative error = 1.628239374256332e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.363719598209438 y[1] (numeric) = 1.363719598209438 absolute error = 2.220446049250313e-16 relative error = 1.628227717901654e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.363729360889213 y[1] (numeric) = 1.363729360889214 absolute error = 4.440892098500626e-16 relative error = 3.25643212345664e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.363739123556884 y[1] (numeric) = 1.363739123556884 absolute error = 4.440892098500626e-16 relative error = 3.256408811472651e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.363748886212449 y[1] (numeric) = 1.363748886212449 absolute error = 2.220446049250313e-16 relative error = 1.628192749925667e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.363758648855909 y[1] (numeric) = 1.363758648855909 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.363768411487263 y[1] (numeric) = 1.363768411487263 absolute error = 4.440892098500626e-16 relative error = 3.256338877696686e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.363778174106511 y[1] (numeric) = 1.363778174106512 absolute error = 2.220446049250313e-16 relative error = 1.628157783581669e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.363787936713653 y[1] (numeric) = 1.363787936713653 absolute error = 2.220446049250313e-16 relative error = 1.628146128496316e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.363797699308689 y[1] (numeric) = 1.363797699308689 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.363807461891617 y[1] (numeric) = 1.363807461891617 absolute error = 2.220446049250313e-16 relative error = 1.628122818869555e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.363817224462439 y[1] (numeric) = 1.363817224462439 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.363826987021153 y[1] (numeric) = 1.363826987021153 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.363836749567759 y[1] (numeric) = 1.363836749567759 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.363846512102258 y[1] (numeric) = 1.363846512102258 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.363856274624649 y[1] (numeric) = 1.363856274624648 absolute error = 2.220446049250313e-16 relative error = 1.628064547975489e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.363866037134931 y[1] (numeric) = 1.36386603713493 absolute error = 2.220446049250313e-16 relative error = 1.62805289434056e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.363875799633104 y[1] (numeric) = 1.363875799633104 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.363885562119168 y[1] (numeric) = 1.363885562119168 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.363895324593124 y[1] (numeric) = 1.363895324593124 absolute error = 2.220446049250313e-16 relative error = 1.628017934523469e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.36390508705497 y[1] (numeric) = 1.363905087054969 absolute error = 4.440892098500626e-16 relative error = 3.256012563227315e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.363914849504706 y[1] (numeric) = 1.363914849504706 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.363924611942332 y[1] (numeric) = 1.363924611942332 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.363934374367847 y[1] (numeric) = 1.363934374367847 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.363944136781252 y[1] (numeric) = 1.363944136781253 absolute error = 2.220446049250313e-16 relative error = 1.627959671787075e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.363953899182547 y[1] (numeric) = 1.363953899182547 absolute error = 2.220446049250313e-16 relative error = 1.627948019783575e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.36396366157173 y[1] (numeric) = 1.36396366157173 absolute error = 2.220446049250313e-16 relative error = 1.627936367961326e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.363973423948802 y[1] (numeric) = 1.363973423948802 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.363983186313763 y[1] (numeric) = 1.363983186313763 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.363992948666611 y[1] (numeric) = 1.363992948666611 absolute error = 2.220446049250313e-16 relative error = 1.627901413582041e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.364002711007347 y[1] (numeric) = 1.364002711007348 absolute error = 4.440892098500626e-16 relative error = 3.255779524969511e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.364012473335971 y[1] (numeric) = 1.364012473335972 absolute error = 4.440892098500626e-16 relative error = 3.255756223137401e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.364022235652483 y[1] (numeric) = 1.364022235652483 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.364031997956881 y[1] (numeric) = 1.364031997956881 absolute error = 4.440892098500626e-16 relative error = 3.255709620560536e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.364041760249166 y[1] (numeric) = 1.364041760249166 absolute error = 2.220446049250313e-16 relative error = 1.627843159907883e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.364051522529338 y[1] (numeric) = 1.364051522529338 absolute error = 2.220446049250313e-16 relative error = 1.627831509716713e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.364061284797396 y[1] (numeric) = 1.364061284797396 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.364071047053339 y[1] (numeric) = 1.36407104705334 absolute error = 2.220446049250313e-16 relative error = 1.627808209878005e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.364080809297169 y[1] (numeric) = 1.364080809297169 absolute error = 2.220446049250313e-16 relative error = 1.62779656023046e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.364090571528884 y[1] (numeric) = 1.364090571528884 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.364100333748484 y[1] (numeric) = 1.364100333748484 absolute error = 2.220446049250313e-16 relative error = 1.627773261478964e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.364110095955969 y[1] (numeric) = 1.36411009595597 absolute error = 2.220446049250313e-16 relative error = 1.627761612375006e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.364119858151339 y[1] (numeric) = 1.364119858151339 absolute error = 4.440892098500626e-16 relative error = 3.255499926904475e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.364129620334593 y[1] (numeric) = 1.364129620334594 absolute error = 4.440892098500626e-16 relative error = 3.255476629421305e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.364139382505732 y[1] (numeric) = 1.364139382505732 absolute error = 4.440892098500626e-16 relative error = 3.255453332300497e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.364149144664754 y[1] (numeric) = 1.364149144664754 absolute error = 4.440892098500626e-16 relative error = 3.255430035542043e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.364158906811659 y[1] (numeric) = 1.36415890681166 absolute error = 6.661338147750939e-16 relative error = 4.883110108718902e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.364168668946448 y[1] (numeric) = 1.364168668946449 absolute error = 4.440892098500626e-16 relative error = 3.255383443112164e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.36417843106912 y[1] (numeric) = 1.364178431069121 absolute error = 4.440892098500626e-16 relative error = 3.255360147440723e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.364188193179675 y[1] (numeric) = 1.364188193179676 absolute error = 2.220446049250313e-16 relative error = 1.627668426065803e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.364197955278112 y[1] (numeric) = 1.364197955278113 absolute error = 4.440892098500626e-16 relative error = 3.255313557184802e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.364207717364432 y[1] (numeric) = 1.364207717364432 absolute error = 4.440892098500626e-16 relative error = 3.255290262600306e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.364217479438634 y[1] (numeric) = 1.364217479438634 absolute error = 2.220446049250313e-16 relative error = 1.627633484189054e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.364227241500717 y[1] (numeric) = 1.364227241500717 absolute error = 4.440892098500626e-16 relative error = 3.255243674518204e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.364237003550681 y[1] (numeric) = 1.364237003550682 absolute error = 4.440892098500626e-16 relative error = 3.255220381020582e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.364246765588527 y[1] (numeric) = 1.364246765588528 absolute error = 4.440892098500626e-16 relative error = 3.255197087885236e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.364256527614254 y[1] (numeric) = 1.364256527614255 absolute error = 6.661338147750939e-16 relative error = 4.882760692668238e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.364266289627862 y[1] (numeric) = 1.364266289627862 absolute error = 4.440892098500626e-16 relative error = 3.25515050270134e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.364276051629349 y[1] (numeric) = 1.36427605162935 absolute error = 6.661338147750939e-16 relative error = 4.882690815979164e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 1.364285813618717 y[1] (numeric) = 1.364285813618718 absolute error = 6.661338147750939e-16 relative error = 4.882655878449684e-14 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(sqrt(2.0*x + 3.0)); Iterations = 100 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Time to Timeout = 1 Minutes 0 Seconds Percent Done = 0.02061 %