##############ECHO OF PROBLEM################# ##############temp/diff2postode.ode################# diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; ! /* 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); array_y_init[1 + 1] = exact_soln_yp(x_start); array_y_init[2 + 1] = exact_soln_ypp(x_start); glob_h = 0.001 ; glob_look_poles = true; /* 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(2.0 - cos(x)); } double exact_soln_yp (double x) { return( sin(x)); } double exact_soln_ypp (double x) { return( cos(x)); } double exact_soln_yppp (double x) { return( -sin(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.004995834721974 y[1] (numeric) = 1.004995834721974 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) = 1.004996833105891 y[1] (numeric) = 1.004996833105891 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.004997831589308 y[1] (numeric) = 1.004997831589308 absolute error = 2.220446049250313e-16 relative error = 2.209403821039982e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.004998830172225 y[1] (numeric) = 1.004998830172225 absolute error = 4.440892098500626e-16 relative error = 4.418803251481992e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.004999828854642 y[1] (numeric) = 1.004999828854643 absolute error = 8.881784197001252e-16 relative error = 8.837597720910521e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.00500082763656 y[1] (numeric) = 1.005000827636562 absolute error = 1.998401444325282e-15 relative error = 1.988457511049899e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.005001826517977 y[1] (numeric) = 1.00500182651798 absolute error = 3.33066907387547e-15 relative error = 3.314092557836652e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.005002825498894 y[1] (numeric) = 1.005002825498899 absolute error = 5.329070518200751e-15 relative error = 5.302542821763057e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.005003824579311 y[1] (numeric) = 1.005003824579319 absolute error = 8.215650382226158e-15 relative error = 8.174745390312506e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.005004823759227 y[1] (numeric) = 1.005004823759239 absolute error = 1.154631945610163e-14 relative error = 1.148881993711487e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.005005823038643 y[1] (numeric) = 1.005005823038659 absolute error = 1.598721155460225e-14 relative error = 1.590758101904802e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.005006822417558 y[1] (numeric) = 1.00500682241758 absolute error = 2.176037128265307e-14 relative error = 2.165196374518949e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.005007821895973 y[1] (numeric) = 1.005007821896001 absolute error = 2.842170943040401e-14 relative error = 2.828008778756142e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.005008821473887 y[1] (numeric) = 1.005008821473923 absolute error = 3.61932706027801e-14 relative error = 3.601288847365655e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.0050098211513 y[1] (numeric) = 1.005009821151345 absolute error = 4.551914400963142e-14 relative error = 4.529223799772073e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.005010820928212 y[1] (numeric) = 1.005010820928268 absolute error = 5.595524044110789e-14 relative error = 5.567625668888671e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.005011820804623 y[1] (numeric) = 1.005011820804691 absolute error = 6.816769371198461e-14 relative error = 6.782775316752877e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.005012820780533 y[1] (numeric) = 1.005012820780614 absolute error = 8.171241461241152e-14 relative error = 8.130484798089485e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.005013820855941 y[1] (numeric) = 1.005013820856038 absolute error = 9.703349235223868e-14 relative error = 9.654941090222826e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.005014821030848 y[1] (numeric) = 1.005014821030962 absolute error = 1.143529715363911e-13 relative error = 1.137823732978373e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.005015821305254 y[1] (numeric) = 1.005015821305387 absolute error = 1.332267629550188e-13 relative error = 1.325618563715663e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.005016821679158 y[1] (numeric) = 1.005016821679312 absolute error = 1.543210004228968e-13 relative error = 1.535506641222791e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.00501782215256 y[1] (numeric) = 1.005017822152737 absolute error = 1.774136393351e-13 relative error = 1.765278539589609e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.005018822725461 y[1] (numeric) = 1.005018822725663 absolute error = 2.027267242965536e-13 relative error = 2.017143557040942e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.005019823397859 y[1] (numeric) = 1.00501982339809 absolute error = 2.302602553072575e-13 relative error = 2.291101627515897e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.005020824169756 y[1] (numeric) = 1.005020824170016 absolute error = 2.602362769721367e-13 relative error = 2.589362038215645e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.00502182504115 y[1] (numeric) = 1.005021825041443 absolute error = 2.928768338961163e-13 relative error = 2.914134067527583e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.005022826012043 y[1] (numeric) = 1.005022826012371 absolute error = 3.277378368693462e-13 relative error = 3.26099893840042e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.005023827082433 y[1] (numeric) = 1.005023827082799 absolute error = 3.654854197066015e-13 relative error = 3.636584624740683e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.005024828252321 y[1] (numeric) = 1.005024828252727 absolute error = 4.061195824078823e-13 relative error = 4.040891040613398e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.005025829521706 y[1] (numeric) = 1.005025829522156 absolute error = 4.496403249731884e-13 relative error = 4.473918100066873e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.005026830890589 y[1] (numeric) = 1.005026830891085 absolute error = 4.960476474025199e-13 relative error = 4.935665717132697e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.005027832358969 y[1] (numeric) = 1.005027832359514 absolute error = 5.455635943008019e-13 relative error = 5.428343143694566e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.005028833926846 y[1] (numeric) = 1.005028833927444 absolute error = 5.981881656680343e-13 relative error = 5.951950287145445e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.00502983559422 y[1] (numeric) = 1.005029835594875 absolute error = 6.541434061091422e-13 relative error = 6.508696388325449e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.005030837361092 y[1] (numeric) = 1.005030837361805 absolute error = 7.136513602290506e-13 relative error = 7.100790679248054e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.00503183922746 y[1] (numeric) = 1.005031839228236 absolute error = 7.764899834228345e-13 relative error = 7.72602372497672e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.005032841193325 y[1] (numeric) = 1.005032841194168 absolute error = 8.431033649003439e-13 relative error = 8.388814079938776e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.005033843258687 y[1] (numeric) = 1.0050338432596 absolute error = 9.134915046615788e-13 relative error = 9.089161631609395e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.005034845423545 y[1] (numeric) = 1.005034845424533 absolute error = 9.876544027065393e-13 relative error = 9.827066267441886e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.0050358476879 y[1] (numeric) = 1.005035847688966 absolute error = 1.06581410364015e-12 relative error = 1.060473719511669e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.005036850051751 y[1] (numeric) = 1.005036850052899 absolute error = 1.147970607462412e-12 relative error = 1.142217429543305e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.005037852515099 y[1] (numeric) = 1.005037852516333 absolute error = 1.234123914173324e-12 relative error = 1.22793774491671e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.005038855077943 y[1] (numeric) = 1.005038855079267 absolute error = 1.324274023772887e-12 relative error = 1.31763465370718e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.005039857740283 y[1] (numeric) = 1.005039857741702 absolute error = 1.419087070075875e-12 relative error = 1.411970937417875e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.005040860502119 y[1] (numeric) = 1.005040860503637 absolute error = 1.518118963872439e-12 relative error = 1.510504720289666e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.005041863363451 y[1] (numeric) = 1.005041863365073 absolute error = 1.621591749767504e-12 relative error = 1.613456920431872e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.005042866324279 y[1] (numeric) = 1.005042866326008 absolute error = 1.729727472365994e-12 relative error = 1.721048455069472e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.005043869384602 y[1] (numeric) = 1.005043869386445 absolute error = 1.84252613166791e-12 relative error = 1.833279310281357e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.005044872544421 y[1] (numeric) = 1.005044872546381 absolute error = 1.960209772278176e-12 relative error = 1.950370402184743e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.005045875803736 y[1] (numeric) = 1.005045875805819 absolute error = 2.082556349591869e-12 relative error = 2.072100786371017e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.005046879162546 y[1] (numeric) = 1.005046879164756 absolute error = 2.210231997423762e-12 relative error = 2.199133237710698e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.005047882620851 y[1] (numeric) = 1.005047882623194 absolute error = 2.342792626564005e-12 relative error = 2.331025881527887e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.005048886178652 y[1] (numeric) = 1.005048886181132 absolute error = 2.480460281617525e-12 relative error = 2.46799963238466e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.005049889835947 y[1] (numeric) = 1.005049889838571 absolute error = 2.62367905179417e-12 relative error = 2.610496332895901e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.005050893592738 y[1] (numeric) = 1.00505089359551 absolute error = 2.772226892489016e-12 relative error = 2.758295037755934e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.005051897449023 y[1] (numeric) = 1.00505189745195 absolute error = 2.926103803702063e-12 relative error = 2.911395731035348e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.005052901404804 y[1] (numeric) = 1.005052901407889 absolute error = 3.08575387464316e-12 relative error = 3.070240253353903e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.005053905460079 y[1] (numeric) = 1.00505390546333 absolute error = 3.250955060707383e-12 relative error = 3.234607659396347e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.005054909614848 y[1] (numeric) = 1.005054909618271 absolute error = 3.422151451104583e-12 relative error = 3.404939788231073e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.005055913869113 y[1] (numeric) = 1.005055913872712 absolute error = 3.599121001229832e-12 relative error = 3.581015694315433e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.005056918222871 y[1] (numeric) = 1.005056918226653 absolute error = 3.782085755688058e-12 relative error = 3.76305628777273e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.005057922676124 y[1] (numeric) = 1.005057922680095 absolute error = 3.97104571447926e-12 relative error = 3.951061550667377e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.005058927228871 y[1] (numeric) = 1.005058927233038 absolute error = 4.166667011418212e-12 relative error = 4.145694245914979e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.005059931881112 y[1] (numeric) = 1.005059931885481 absolute error = 4.368505557295066e-12 relative error = 4.346512500124034e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.005060936632848 y[1] (numeric) = 1.005060936637424 absolute error = 4.57656135210982e-12 relative error = 4.553516294685776e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.005061941484077 y[1] (numeric) = 1.005061941488868 absolute error = 4.791278485072326e-12 relative error = 4.76714746356579e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.0050629464348 y[1] (numeric) = 1.005062946439812 absolute error = 5.012656956182582e-12 relative error = 4.987405986822699e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.005063951485016 y[1] (numeric) = 1.005063951490257 absolute error = 5.240696765440589e-12 relative error = 5.214291844511267e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.005064956634727 y[1] (numeric) = 1.005064956640202 absolute error = 5.475397912846347e-12 relative error = 5.447805016682404e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.00506596188393 y[1] (numeric) = 1.005065961889648 absolute error = 5.717204487609706e-12 relative error = 5.688387334193649e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.005066967232628 y[1] (numeric) = 1.005066967238593 absolute error = 5.965894445125741e-12 relative error = 5.935817850578016e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.005067972680818 y[1] (numeric) = 1.00506797268704 absolute error = 6.221689829999377e-12 relative error = 6.19031747017494e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.005068978228502 y[1] (numeric) = 1.005068978234986 absolute error = 6.484812686835539e-12 relative error = 6.452107096435745e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.005069983875678 y[1] (numeric) = 1.005069983882434 absolute error = 6.755040971029302e-12 relative error = 6.720965782881109e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.005070989622348 y[1] (numeric) = 1.005070989629381 absolute error = 7.032818771790517e-12 relative error = 6.997335356812032e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.005071995468511 y[1] (numeric) = 1.005071995475829 absolute error = 7.318146089119182e-12 relative error = 7.281215795598656e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.005073001414166 y[1] (numeric) = 1.005073001421777 absolute error = 7.611022923015298e-12 relative error = 7.572607076606747e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.005074007459315 y[1] (numeric) = 1.005074007467226 absolute error = 7.911449273478866e-12 relative error = 7.871509177197701e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.005075013603955 y[1] (numeric) = 1.005075013612175 absolute error = 8.219869229719734e-12 relative error = 8.178363921559722e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.005076019848088 y[1] (numeric) = 1.005076019856625 absolute error = 8.536282791737904e-12 relative error = 8.493171285718383e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.005077026191714 y[1] (numeric) = 1.005077026200575 absolute error = 8.860467914928449e-12 relative error = 8.815710322721428e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.005078032634832 y[1] (numeric) = 1.005078032644025 absolute error = 9.192868688501221e-12 relative error = 9.146422854752812e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.005079039177442 y[1] (numeric) = 1.005079039186976 absolute error = 9.533485112456219e-12 relative error = 9.485308857160561e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.005080045819544 y[1] (numeric) = 1.005080045829427 absolute error = 9.882539231398368e-12 relative error = 9.832589227597416e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.005081052561139 y[1] (numeric) = 1.005081052571378 absolute error = 1.023980900072274e-11 relative error = 1.018804301864984e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.005082059402225 y[1] (numeric) = 1.00508205941283 absolute error = 1.060551646503427e-11 relative error = 1.055189112751841e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.005083066342803 y[1] (numeric) = 1.005083066353783 absolute error = 1.09801057135428e-11 relative error = 1.092457537215916e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.005084073382872 y[1] (numeric) = 1.005084073394236 absolute error = 1.13633547016434e-11 relative error = 1.130587480447986e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.005085080522434 y[1] (numeric) = 1.005085080534189 absolute error = 1.175548547394101e-11 relative error = 1.169601031967425e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.005086087761486 y[1] (numeric) = 1.005086087773643 absolute error = 1.215672007504054e-11 relative error = 1.20952028120455e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.00508709510003 y[1] (numeric) = 1.005087095112597 absolute error = 1.256683646033707e-11 relative error = 1.250323133348595e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.005088102538066 y[1] (numeric) = 1.005088102551052 absolute error = 1.298605667443553e-11 relative error = 1.292031677784556e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.005089110075592 y[1] (numeric) = 1.005089110089007 absolute error = 1.341460276194084e-11 relative error = 1.334668003808332e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.00509011771261 y[1] (numeric) = 1.005090117726462 absolute error = 1.385225267824808e-11 relative error = 1.378210016607577e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.005091125449119 y[1] (numeric) = 1.005091125463418 absolute error = 1.429945051256709e-11 relative error = 1.422701897420243e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.005092133285118 y[1] (numeric) = 1.005092133299875 absolute error = 1.475619626489788e-11 relative error = 1.468143643376018e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.005093141220609 y[1] (numeric) = 1.005093141235831 absolute error = 1.522271197984537e-11 relative error = 1.514557343547142e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.00509414925559 y[1] (numeric) = 1.005094149271288 absolute error = 1.569877561280464e-11 relative error = 1.561920903074776e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.005095157390061 y[1] (numeric) = 1.005095157406246 absolute error = 1.618460920838061e-11 relative error = 1.610256410985733e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 1.005096165624023 y[1] (numeric) = 1.005096165640704 absolute error = 1.66804348111782e-11 relative error = 1.659585956217632e-09 % Correct digits = 10 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; Iterations = 100 Total Elapsed Time = 16 Seconds Elapsed Time(since restart) = 15 Seconds Expected Time Remaining = 21 Hours 33 Minutes 27 Seconds Optimized Time Remaining = 20 Hours 12 Minutes 37 Seconds Time to Timeout = 44 Seconds Percent Done = 0.02061 %