##############ECHO OF PROBLEM################# ##############temp/mtest3postode.ode################# diff ( y2 , x , 1 ) = m1 * y1 + 1.0; diff ( y1 , x , 1 ) = y2 - 1.0; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 0.5; glob_h = 0.00001; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); glob_max_iter = 20; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y1 (double x) { return(1.0 + cos(x)); } double exact_soln_y2 (double x) { return(1.0 - sin(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 0.9001665833531718 y2[1] (numeric) = 0.9001665833531718 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.995004165278026 y1[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 x[1] = 0.1 y2[1] (analytic) = 0.9001665833531718 y2[1] (numeric) = 0.9001665833531718 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.995004165278026 y1[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10001 y2[1] (analytic) = 0.9001566333165109 y2[1] (numeric) = 0.9001566333165109 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.995003166894109 y1[1] (numeric) = 1.995003166894109 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10002 y2[1] (analytic) = 0.9001466832898343 y2[1] (numeric) = 0.9001466832898343 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.995002168410692 y1[1] (numeric) = 1.995002168410692 absolute error = 2.220446049250313e-16 relative error = 1.113004328721717e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10003 y2[1] (analytic) = 0.900136733273143 y2[1] (numeric) = 0.900136733273143 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.995001169827775 y1[1] (numeric) = 1.995001169827775 absolute error = 2.220446049250313e-16 relative error = 1.113004885827711e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10004 y2[1] (analytic) = 0.9001267832664381 y2[1] (numeric) = 0.9001267832664381 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.995000171145358 y1[1] (numeric) = 1.995000171145358 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10005 y2[1] (analytic) = 0.9001168332697205 y2[1] (numeric) = 0.9001168332697205 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.99499917236344 y1[1] (numeric) = 1.99499917236344 absolute error = 2.220446049250313e-16 relative error = 1.113006000207905e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10006 y2[1] (analytic) = 0.9001068832829912 y2[1] (numeric) = 0.9001068832829912 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994998173482023 y1[1] (numeric) = 1.994998173482023 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10007 y2[1] (analytic) = 0.9000969333062512 y2[1] (numeric) = 0.9000969333062512 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994997174501106 y1[1] (numeric) = 1.994997174501106 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10008 y2[1] (analytic) = 0.9000869833395014 y2[1] (numeric) = 0.9000869833395014 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994996175420689 y1[1] (numeric) = 1.994996175420689 absolute error = 2.220446049250313e-16 relative error = 1.113007672198711e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10009 y2[1] (analytic) = 0.900077033382743 y2[1] (numeric) = 0.900077033382743 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994995176240773 y1[1] (numeric) = 1.994995176240773 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001 y2[1] (analytic) = 0.900067083435977 y2[1] (numeric) = 0.900067083435977 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994994176961357 y1[1] (numeric) = 1.994994176961357 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10011 y2[1] (analytic) = 0.9000571334992042 y2[1] (numeric) = 0.9000571334992041 absolute error = 1.110223024625157e-16 relative error = 1.233502833657768e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994993177582442 y1[1] (numeric) = 1.994993177582441 absolute error = 2.220446049250313e-16 relative error = 1.11300934469414e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10012 y2[1] (analytic) = 0.9000471835724256 y2[1] (numeric) = 0.9000471835724256 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994992178104027 y1[1] (numeric) = 1.994992178104027 absolute error = 2.220446049250313e-16 relative error = 1.113009902304755e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10013 y2[1] (analytic) = 0.9000372336556425 y2[1] (numeric) = 0.9000372336556424 absolute error = 1.110223024625157e-16 relative error = 1.233530106433277e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994991178526113 y1[1] (numeric) = 1.994991178526113 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10014 y2[1] (analytic) = 0.9000272837488555 y2[1] (numeric) = 0.9000272837488554 absolute error = 1.110223024625157e-16 relative error = 1.233543743252737e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.9949901788487 y1[1] (numeric) = 1.9949901788487 absolute error = 2.220446049250313e-16 relative error = 1.113011017694194e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001499999999999 y2[1] (analytic) = 0.9000173338520658 y2[1] (numeric) = 0.9000173338520657 absolute error = 1.110223024625157e-16 relative error = 1.233557380360012e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994989179071788 y1[1] (numeric) = 1.994989179071788 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001599999999999 y2[1] (analytic) = 0.9000073839652744 y2[1] (numeric) = 0.9000073839652744 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994988179195377 y1[1] (numeric) = 1.994988179195377 absolute error = 2.220446049250313e-16 relative error = 1.113012133307912e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001699999999999 y2[1] (analytic) = 0.8999974340884822 y2[1] (numeric) = 0.8999974340884822 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 y1[1] (analytic) = 1.994987179219467 y1[1] (numeric) = 1.994987179219467 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001799999999999 y2[1] (analytic) = 0.8999874842216904 y2[1] (numeric) = 0.8999874842216903 absolute error = 1.110223024625157e-16 relative error = 1.2335982934088e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994986179144059 y1[1] (numeric) = 1.994986179144059 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001899999999999 y2[1] (analytic) = 0.8999775343648997 y2[1] (numeric) = 0.8999775343648996 absolute error = 1.110223024625157e-16 relative error = 1.23361193166741e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994985178969152 y1[1] (numeric) = 1.994985178969152 absolute error = 2.220446049250313e-16 relative error = 1.113013807149014e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001999999999999 y2[1] (analytic) = 0.8999675845181113 y2[1] (numeric) = 0.8999675845181112 absolute error = 1.110223024625157e-16 relative error = 1.233625570213872e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994984178694746 y1[1] (numeric) = 1.994984178694746 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002099999999999 y2[1] (analytic) = 0.8999576346813262 y2[1] (numeric) = 0.8999576346813261 absolute error = 1.110223024625157e-16 relative error = 1.233639209048196e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994983178320842 y1[1] (numeric) = 1.994983178320842 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002199999999999 y2[1] (analytic) = 0.8999476848545452 y2[1] (numeric) = 0.8999476848545451 absolute error = 1.110223024625157e-16 relative error = 1.233652848170388e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99498217784744 y1[1] (numeric) = 1.99498217784744 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002299999999999 y2[1] (analytic) = 0.8999377350377695 y2[1] (numeric) = 0.8999377350377694 absolute error = 1.110223024625157e-16 relative error = 1.233666487580456e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994981177274539 y1[1] (numeric) = 1.994981177274539 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002399999999999 y2[1] (analytic) = 0.899927785231 y2[1] (numeric) = 0.8999277852309999 absolute error = 1.110223024625157e-16 relative error = 1.233680127278409e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994980176602141 y1[1] (numeric) = 1.994980176602141 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002499999999999 y2[1] (analytic) = 0.8999178354342379 y2[1] (numeric) = 0.8999178354342376 absolute error = 2.220446049250313e-16 relative error = 2.467387534528505e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994979175830244 y1[1] (numeric) = 1.994979175830244 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002599999999999 y2[1] (analytic) = 0.8999078856474838 y2[1] (numeric) = 0.8999078856474836 absolute error = 2.220446049250313e-16 relative error = 2.467414815075992e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99497817495885 y1[1] (numeric) = 1.994978174958849 absolute error = 2.220446049250313e-16 relative error = 1.113017714740721e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002699999999999 y2[1] (analytic) = 0.899897935870739 y2[1] (numeric) = 0.8998979358707387 absolute error = 2.220446049250313e-16 relative error = 2.467442096199293e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994977173987957 y1[1] (numeric) = 1.994977173987957 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002799999999999 y2[1] (analytic) = 0.8998879861040044 y2[1] (numeric) = 0.8998879861040041 absolute error = 3.33066907387547e-16 relative error = 3.701204066847635e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994976172917567 y1[1] (numeric) = 1.994976172917567 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002899999999999 y2[1] (analytic) = 0.899878036347281 y2[1] (numeric) = 0.8998780363472807 absolute error = 3.33066907387547e-16 relative error = 3.7012449902601e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994975171747679 y1[1] (numeric) = 1.994975171747679 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002999999999999 y2[1] (analytic) = 0.8998680866005698 y2[1] (numeric) = 0.8998680866005695 absolute error = 3.33066907387547e-16 relative error = 3.701285914536355e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994974170478294 y1[1] (numeric) = 1.994974170478294 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003099999999999 y2[1] (analytic) = 0.8998581368638717 y2[1] (numeric) = 0.8998581368638715 absolute error = 2.220446049250313e-16 relative error = 2.467551226450949e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994973169109411 y1[1] (numeric) = 1.994973169109411 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003199999999999 y2[1] (analytic) = 0.8998481871371879 y2[1] (numeric) = 0.8998481871371876 absolute error = 3.33066907387547e-16 relative error = 3.701367765680331e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994972167641031 y1[1] (numeric) = 1.994972167641031 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003299999999999 y2[1] (analytic) = 0.8998382374205193 y2[1] (numeric) = 0.8998382374205189 absolute error = 3.33066907387547e-16 relative error = 3.701408692548099e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994971166073154 y1[1] (numeric) = 1.994971166073154 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003399999999999 y2[1] (analytic) = 0.8998282877138668 y2[1] (numeric) = 0.8998282877138665 absolute error = 3.33066907387547e-16 relative error = 3.70144962027975e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99497016440578 y1[1] (numeric) = 1.99497016440578 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003499999999999 y2[1] (analytic) = 0.8998183380172315 y2[1] (numeric) = 0.8998183380172312 absolute error = 3.33066907387547e-16 relative error = 3.701490548875308e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994969162638908 y1[1] (numeric) = 1.994969162638908 absolute error = 2.220446049250313e-16 relative error = 1.113022742824329e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003599999999999 y2[1] (analytic) = 0.8998083883306144 y2[1] (numeric) = 0.8998083883306141 absolute error = 3.33066907387547e-16 relative error = 3.701531478334796e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99496816077254 y1[1] (numeric) = 1.99496816077254 absolute error = 2.220446049250313e-16 relative error = 1.113023301780645e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003699999999999 y2[1] (analytic) = 0.8997984386540164 y2[1] (numeric) = 0.8997984386540161 absolute error = 3.33066907387547e-16 relative error = 3.701572408658238e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994967158806675 y1[1] (numeric) = 1.994967158806675 absolute error = 2.220446049250313e-16 relative error = 1.113023860793033e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003799999999999 y2[1] (analytic) = 0.8997884889874386 y2[1] (numeric) = 0.8997884889874382 absolute error = 3.33066907387547e-16 relative error = 3.701613339845657e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994966156741313 y1[1] (numeric) = 1.994966156741313 absolute error = 2.220446049250313e-16 relative error = 1.113024419861493e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003899999999999 y2[1] (analytic) = 0.8997785393308819 y2[1] (numeric) = 0.8997785393308816 absolute error = 3.33066907387547e-16 relative error = 3.701654271897075e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994965154576455 y1[1] (numeric) = 1.994965154576454 absolute error = 2.220446049250313e-16 relative error = 1.113024978986026e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003999999999999 y2[1] (analytic) = 0.8997685896843474 y2[1] (numeric) = 0.899768589684347 absolute error = 3.33066907387547e-16 relative error = 3.701695204812517e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.9949641523121 y1[1] (numeric) = 1.9949641523121 absolute error = 2.220446049250313e-16 relative error = 1.113025538166632e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004099999999998 y2[1] (analytic) = 0.899758640047836 y2[1] (numeric) = 0.8997586400478357 absolute error = 3.33066907387547e-16 relative error = 3.701736138592004e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994963149948249 y1[1] (numeric) = 1.994963149948248 absolute error = 2.220446049250313e-16 relative error = 1.11302609740331e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004199999999998 y2[1] (analytic) = 0.8997486904213488 y2[1] (numeric) = 0.8997486904213484 absolute error = 3.33066907387547e-16 relative error = 3.701777073235561e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994962147484901 y1[1] (numeric) = 1.994962147484901 absolute error = 2.220446049250313e-16 relative error = 1.113026656696061e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004299999999998 y2[1] (analytic) = 0.8997387408048867 y2[1] (numeric) = 0.8997387408048863 absolute error = 4.440892098500626e-16 relative error = 4.935757344990948e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994961144922057 y1[1] (numeric) = 1.994961144922057 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004399999999998 y2[1] (analytic) = 0.8997287911984506 y2[1] (numeric) = 0.8997287911984503 absolute error = 3.33066907387547e-16 relative error = 3.701858945114977e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994960142259717 y1[1] (numeric) = 1.994960142259717 absolute error = 2.220446049250313e-16 relative error = 1.113027775449782e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004499999999998 y2[1] (analytic) = 0.8997188416020417 y2[1] (numeric) = 0.8997188416020414 absolute error = 3.33066907387547e-16 relative error = 3.701899882350881e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994959139497881 y1[1] (numeric) = 1.994959139497881 absolute error = 2.220446049250313e-16 relative error = 1.113028334910752e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004599999999998 y2[1] (analytic) = 0.8997088920156611 y2[1] (numeric) = 0.8997088920156606 absolute error = 4.440892098500626e-16 relative error = 4.935921093934598e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994958136636549 y1[1] (numeric) = 1.994958136636549 absolute error = 2.220446049250313e-16 relative error = 1.113028894427796e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004699999999998 y2[1] (analytic) = 0.8996989424393094 y2[1] (numeric) = 0.8996989424393089 absolute error = 4.440892098500626e-16 relative error = 4.935975679220267e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994957133675721 y1[1] (numeric) = 1.994957133675721 absolute error = 2.220446049250313e-16 relative error = 1.113029454000912e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004799999999998 y2[1] (analytic) = 0.8996889928729879 y2[1] (numeric) = 0.8996889928729874 absolute error = 4.440892098500626e-16 relative error = 4.936030265658215e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994956130615398 y1[1] (numeric) = 1.994956130615398 absolute error = 2.220446049250313e-16 relative error = 1.113030013630103e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004899999999998 y2[1] (analytic) = 0.8996790433166975 y2[1] (numeric) = 0.899679043316697 absolute error = 4.440892098500626e-16 relative error = 4.936084853248472e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994955127455579 y1[1] (numeric) = 1.994955127455579 absolute error = 2.220446049250313e-16 relative error = 1.113030573315367e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004999999999998 y2[1] (analytic) = 0.8996690937704391 y2[1] (numeric) = 0.8996690937704387 absolute error = 4.440892098500626e-16 relative error = 4.936139441991069e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994954124196264 y1[1] (numeric) = 1.994954124196264 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005099999999998 y2[1] (analytic) = 0.8996591442342139 y2[1] (numeric) = 0.8996591442342134 absolute error = 4.440892098500626e-16 relative error = 4.936194031886038e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994953120837454 y1[1] (numeric) = 1.994953120837454 absolute error = 2.220446049250313e-16 relative error = 1.113031692854116e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005199999999998 y2[1] (analytic) = 0.8996491947080227 y2[1] (numeric) = 0.8996491947080223 absolute error = 4.440892098500626e-16 relative error = 4.936248622933407e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994952117379149 y1[1] (numeric) = 1.994952117379149 absolute error = 2.220446049250313e-16 relative error = 1.113032252707601e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005299999999998 y2[1] (analytic) = 0.8996392451918666 y2[1] (numeric) = 0.8996392451918662 absolute error = 3.33066907387547e-16 relative error = 3.702227411349908e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994951113821348 y1[1] (numeric) = 1.994951113821348 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005399999999998 y2[1] (analytic) = 0.8996292956857466 y2[1] (numeric) = 0.8996292956857462 absolute error = 3.33066907387547e-16 relative error = 3.702268356364108e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994950110164053 y1[1] (numeric) = 1.994950110164053 absolute error = 2.220446049250313e-16 relative error = 1.113033372582795e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005499999999998 y2[1] (analytic) = 0.8996193461896637 y2[1] (numeric) = 0.8996193461896633 absolute error = 3.33066907387547e-16 relative error = 3.70230930224268e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994949106407262 y1[1] (numeric) = 1.994949106407262 absolute error = 2.220446049250313e-16 relative error = 1.113033932604502e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005599999999998 y2[1] (analytic) = 0.8996093967036188 y2[1] (numeric) = 0.8996093967036185 absolute error = 3.33066907387547e-16 relative error = 3.702350248985645e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994948102550977 y1[1] (numeric) = 1.994948102550976 absolute error = 2.220446049250313e-16 relative error = 1.113034492682285e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005699999999998 y2[1] (analytic) = 0.899599447227613 y2[1] (numeric) = 0.8995994472276126 absolute error = 3.33066907387547e-16 relative error = 3.702391196593029e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994947098595196 y1[1] (numeric) = 1.994947098595196 absolute error = 2.220446049250313e-16 relative error = 1.113035052816142e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005799999999998 y2[1] (analytic) = 0.8995894977616472 y2[1] (numeric) = 0.8995894977616469 absolute error = 3.33066907387547e-16 relative error = 3.702432145064853e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994946094539921 y1[1] (numeric) = 1.994946094539921 absolute error = 2.220446049250313e-16 relative error = 1.113035613006073e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005899999999998 y2[1] (analytic) = 0.8995795483057225 y2[1] (numeric) = 0.8995795483057222 absolute error = 3.33066907387547e-16 relative error = 3.702473094401141e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994945090385152 y1[1] (numeric) = 1.994945090385151 absolute error = 4.440892098500626e-16 relative error = 2.226072346504159e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005999999999998 y2[1] (analytic) = 0.8995695988598399 y2[1] (numeric) = 0.8995695988598396 absolute error = 3.33066907387547e-16 relative error = 3.702514044601917e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994944086130887 y1[1] (numeric) = 1.994944086130887 absolute error = 4.440892098500626e-16 relative error = 2.226073467108321e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006099999999998 y2[1] (analytic) = 0.8995596494240002 y2[1] (numeric) = 0.8995596494239999 absolute error = 3.33066907387547e-16 relative error = 3.702554995667203e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994943081777129 y1[1] (numeric) = 1.994943081777128 absolute error = 4.440892098500626e-16 relative error = 2.226074587824634e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006199999999998 y2[1] (analytic) = 0.8995496999982047 y2[1] (numeric) = 0.8995496999982043 absolute error = 3.33066907387547e-16 relative error = 3.702595947597022e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994942077323876 y1[1] (numeric) = 1.994942077323876 absolute error = 2.220446049250313e-16 relative error = 1.113037854326548e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006299999999998 y2[1] (analytic) = 0.8995397505824541 y2[1] (numeric) = 0.8995397505824537 absolute error = 3.33066907387547e-16 relative error = 3.702636900391399e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994941072771129 y1[1] (numeric) = 1.994941072771128 absolute error = 4.440892098500626e-16 relative error = 2.226076829593709e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006399999999998 y2[1] (analytic) = 0.8995298011767496 y2[1] (numeric) = 0.8995298011767492 absolute error = 4.440892098500626e-16 relative error = 4.936903805400473e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994940068118888 y1[1] (numeric) = 1.994940068118887 absolute error = 4.440892098500626e-16 relative error = 2.226077950646472e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006499999999998 y2[1] (analytic) = 0.8995198517810921 y2[1] (numeric) = 0.8995198517810917 absolute error = 3.33066907387547e-16 relative error = 3.702718808573915e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994939063367152 y1[1] (numeric) = 1.994939063367152 absolute error = 2.220446049250313e-16 relative error = 1.113039535905693e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006599999999997 y2[1] (analytic) = 0.8995099023954826 y2[1] (numeric) = 0.8995099023954822 absolute error = 3.33066907387547e-16 relative error = 3.702759763962101e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994938058515923 y1[1] (numeric) = 1.994938058515923 absolute error = 2.220446049250313e-16 relative error = 1.113040096544226e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006699999999997 y2[1] (analytic) = 0.8994999530199221 y2[1] (numeric) = 0.8994999530199217 absolute error = 4.440892098500626e-16 relative error = 4.937067626953249e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.9949370535652 y1[1] (numeric) = 1.9949370535652 absolute error = 2.220446049250313e-16 relative error = 1.113040657238834e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006799999999997 y2[1] (analytic) = 0.8994900036544116 y2[1] (numeric) = 0.8994900036544112 absolute error = 3.33066907387547e-16 relative error = 3.702841677332446e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994936048514984 y1[1] (numeric) = 1.994936048514983 absolute error = 2.220446049250313e-16 relative error = 1.113041217989518e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006899999999997 y2[1] (analytic) = 0.8994800542989522 y2[1] (numeric) = 0.8994800542989517 absolute error = 4.440892098500626e-16 relative error = 4.937176847086202e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994935043365273 y1[1] (numeric) = 1.994935043365273 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006999999999997 y2[1] (analytic) = 0.8994701049535446 y2[1] (numeric) = 0.8994701049535442 absolute error = 4.440892098500626e-16 relative error = 4.937231458882102e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99493403811607 y1[1] (numeric) = 1.99493403811607 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007099999999997 y2[1] (analytic) = 0.8994601556181901 y2[1] (numeric) = 0.8994601556181897 absolute error = 4.440892098500626e-16 relative error = 4.937286071830991e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994933032767372 y1[1] (numeric) = 1.994933032767372 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007199999999997 y2[1] (analytic) = 0.8994502062928896 y2[1] (numeric) = 0.8994502062928892 absolute error = 4.440892098500626e-16 relative error = 4.937340685932902e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994932027319182 y1[1] (numeric) = 1.994932027319182 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007299999999997 y2[1] (analytic) = 0.8994402569776441 y2[1] (numeric) = 0.8994402569776436 absolute error = 4.440892098500626e-16 relative error = 4.937395301187866e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994931021771498 y1[1] (numeric) = 1.994931021771498 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007399999999997 y2[1] (analytic) = 0.8994303076724546 y2[1] (numeric) = 0.899430307672454 absolute error = 5.551115123125783e-16 relative error = 6.171812396994889e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994930016124322 y1[1] (numeric) = 1.994930016124322 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007499999999997 y2[1] (analytic) = 0.8994203583773219 y2[1] (numeric) = 0.8994203583773215 absolute error = 4.440892098500626e-16 relative error = 4.937504535157072e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994929010377652 y1[1] (numeric) = 1.994929010377652 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007599999999997 y2[1] (analytic) = 0.8994104090922473 y2[1] (numeric) = 0.8994104090922469 absolute error = 4.440892098500626e-16 relative error = 4.937559153871377e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994928004531489 y1[1] (numeric) = 1.994928004531489 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007699999999997 y2[1] (analytic) = 0.8994004598172317 y2[1] (numeric) = 0.8994004598172313 absolute error = 4.440892098500626e-16 relative error = 4.937613773738858e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994926998585834 y1[1] (numeric) = 1.994926998585834 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007799999999997 y2[1] (analytic) = 0.8993905105522759 y2[1] (numeric) = 0.8993905105522756 absolute error = 3.33066907387547e-16 relative error = 3.70325129606966e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994925992540685 y1[1] (numeric) = 1.994925992540686 absolute error = 2.220446049250313e-16 relative error = 1.113046828580549e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007899999999997 y2[1] (analytic) = 0.8993805612973812 y2[1] (numeric) = 0.8993805612973809 absolute error = 3.33066907387547e-16 relative error = 3.703292262700105e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994924986396045 y1[1] (numeric) = 1.994924986396045 absolute error = 2.220446049250313e-16 relative error = 1.113047389948073e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007999999999997 y2[1] (analytic) = 0.8993706120525484 y2[1] (numeric) = 0.8993706120525481 absolute error = 3.33066907387547e-16 relative error = 3.703333230195502e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994923980151912 y1[1] (numeric) = 1.994923980151912 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008099999999997 y2[1] (analytic) = 0.8993606628177785 y2[1] (numeric) = 0.8993606628177782 absolute error = 3.33066907387547e-16 relative error = 3.703374198555874e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994922973808286 y1[1] (numeric) = 1.994922973808286 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008199999999997 y2[1] (analytic) = 0.8993507135930725 y2[1] (numeric) = 0.8993507135930722 absolute error = 3.33066907387547e-16 relative error = 3.703415167781244e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994921967365168 y1[1] (numeric) = 1.994921967365168 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008299999999997 y2[1] (analytic) = 0.8993407643784316 y2[1] (numeric) = 0.8993407643784311 absolute error = 4.440892098500626e-16 relative error = 4.937941517162179e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994920960822558 y1[1] (numeric) = 1.994920960822558 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008399999999997 y2[1] (analytic) = 0.8993308151738564 y2[1] (numeric) = 0.899330815173856 absolute error = 3.33066907387547e-16 relative error = 3.70349710882707e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994919954180456 y1[1] (numeric) = 1.994919954180455 absolute error = 2.220446049250313e-16 relative error = 1.113050197626855e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008499999999997 y2[1] (analytic) = 0.8993208659793482 y2[1] (numeric) = 0.8993208659793479 absolute error = 3.33066907387547e-16 relative error = 3.703538080647574e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994918947438861 y1[1] (numeric) = 1.994918947438861 absolute error = 2.220446049250313e-16 relative error = 1.113050759330844e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008599999999997 y2[1] (analytic) = 0.899310916794908 y2[1] (numeric) = 0.8993109167949076 absolute error = 4.440892098500626e-16 relative error = 4.938105404444225e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994917940597775 y1[1] (numeric) = 1.994917940597775 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008699999999997 y2[1] (analytic) = 0.8993009676205367 y2[1] (numeric) = 0.8993009676205362 absolute error = 4.440892098500626e-16 relative error = 4.938160035845171e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994916933657197 y1[1] (numeric) = 1.994916933657197 absolute error = 2.220446049250313e-16 relative error = 1.113051882907056e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008799999999997 y2[1] (analytic) = 0.8992910184562352 y2[1] (numeric) = 0.8992910184562348 absolute error = 3.33066907387547e-16 relative error = 3.703661001299725e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994915926617128 y1[1] (numeric) = 1.994915926617127 absolute error = 2.220446049250313e-16 relative error = 1.113052444779278e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008899999999997 y2[1] (analytic) = 0.8992810693020047 y2[1] (numeric) = 0.8992810693020042 absolute error = 4.440892098500626e-16 relative error = 4.938269302107643e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994914919477566 y1[1] (numeric) = 1.994914919477566 absolute error = 2.220446049250313e-16 relative error = 1.113053006707579e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008999999999997 y2[1] (analytic) = 0.8992711201578459 y2[1] (numeric) = 0.8992711201578456 absolute error = 3.33066907387547e-16 relative error = 3.703742952726925e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994913912238514 y1[1] (numeric) = 1.994913912238514 absolute error = 2.220446049250313e-16 relative error = 1.113053568691958e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009099999999997 y2[1] (analytic) = 0.8992611710237602 y2[1] (numeric) = 0.8992611710237598 absolute error = 4.440892098500626e-16 relative error = 4.938378572984432e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99491290489997 y1[1] (numeric) = 1.994912904899969 absolute error = 2.220446049250313e-16 relative error = 1.113054130732415e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009199999999996 y2[1] (analytic) = 0.8992512218997483 y2[1] (numeric) = 0.8992512218997479 absolute error = 3.33066907387547e-16 relative error = 3.703824907614954e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994911897461934 y1[1] (numeric) = 1.994911897461934 absolute error = 2.220446049250313e-16 relative error = 1.113054692828951e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009299999999996 y2[1] (analytic) = 0.8992412727858113 y2[1] (numeric) = 0.8992412727858109 absolute error = 4.440892098500626e-16 relative error = 4.938487848475783e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994910889924408 y1[1] (numeric) = 1.994910889924407 absolute error = 2.220446049250313e-16 relative error = 1.113055254981565e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009399999999996 y2[1] (analytic) = 0.8992313236819501 y2[1] (numeric) = 0.8992313236819498 absolute error = 3.33066907387547e-16 relative error = 3.703906865963998e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99490988228739 y1[1] (numeric) = 1.99490988228739 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009499999999996 y2[1] (analytic) = 0.8992213745881659 y2[1] (numeric) = 0.8992213745881655 absolute error = 3.33066907387547e-16 relative error = 3.703947846436459e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994908874550881 y1[1] (numeric) = 1.994908874550881 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009599999999996 y2[1] (analytic) = 0.8992114255044595 y2[1] (numeric) = 0.8992114255044591 absolute error = 4.440892098500626e-16 relative error = 4.938651770365658e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994907866714882 y1[1] (numeric) = 1.994907866714882 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009699999999996 y2[1] (analytic) = 0.8992014764308319 y2[1] (numeric) = 0.8992014764308316 absolute error = 3.33066907387547e-16 relative error = 3.704029809977375e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994906858779391 y1[1] (numeric) = 1.994906858779391 absolute error = 2.220446049250313e-16 relative error = 1.113057504152811e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009799999999996 y2[1] (analytic) = 0.8991915273672842 y2[1] (numeric) = 0.8991915273672839 absolute error = 3.33066907387547e-16 relative error = 3.704070793045877e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.99490585074441 y1[1] (numeric) = 1.99490585074441 absolute error = 2.220446049250313e-16 relative error = 1.11305806658582e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009899999999996 y2[1] (analytic) = 0.8991815783138174 y2[1] (numeric) = 0.8991815783138171 absolute error = 3.33066907387547e-16 relative error = 3.704111776979772e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994904842609939 y1[1] (numeric) = 1.994904842609939 absolute error = 2.220446049250313e-16 relative error = 1.113058629074908e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009999999999996 y2[1] (analytic) = 0.8991716292704324 y2[1] (numeric) = 0.899171629270432 absolute error = 3.33066907387547e-16 relative error = 3.704152761779083e-14 % Correct digits = 15 h = 1e-05 y1[1] (analytic) = 1.994903834375977 y1[1] (numeric) = 1.994903834375976 absolute error = 2.220446049250313e-16 relative error = 1.113059191620075e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 1 ) = m1 * y1 + 1.0; diff ( y1 , x , 1 ) = y2 - 1.0; Iterations = 100 Total Elapsed Time Unknown Elapsed Time(since restart) Unknown Expected Time Remaining Unknown Optimized Time Remaining Unknown Time to Timeout = 14 Minutes 37 Seconds Percent Done = 0.2525 %