##############ECHO OF PROBLEM################# ##############temp/mtest5postode.ode################# diff ( y2 , x , 1 ) = diff ( y1, x , 1) ; diff ( y1 , x , 1 ) = sin ( x ) ; ! // 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_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); glob_h=0.00001; glob_max_iter=20; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y1 (double x) { return(2.0 - cos(x)); } double exact_soln_y2 (double x) { return(2.0 - cos(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900 step_error = 2.040816326530612e-14 est_needed_step_err = 2.040816326530612e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.084089116802804e-99 max_value3 = 1.084089116802804e-99 value3 = 1.084089116802804e-99 best_h = 0.001 START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.004995834721974 y2[1] (numeric) = 1.004995834721974 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.004995834721974 y1[1] (numeric) = 1.004995834721974 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 x[1] = 0.1 y2[1] (analytic) = 1.004995834721974 y2[1] (numeric) = 1.004995834721974 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.004995834721974 y1[1] (numeric) = 1.004995834721974 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.005096165624023 y2[1] (numeric) = 1.005095916878539 absolute error = 2.487454846544779e-07 relative error = 2.474842638565255e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 1.005096165624023 y1[1] (numeric) = 1.005096165624023 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.005197491429824 y2[1] (numeric) = 1.005196993963993 absolute error = 4.97465831195143e-07 relative error = 4.948936258162884e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 1.005197491429824 y1[1] (numeric) = 1.005197491429824 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.00529981203805 y2[1] (numeric) = 1.005299065877259 absolute error = 7.461607911540824e-07 relative error = 7.422271268920128e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 1.00529981203805 y1[1] (numeric) = 1.00529981203805 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.005403127346381 y2[1] (numeric) = 1.005402132516266 absolute error = 9.948301158413386e-07 relative error = 9.894838088151279e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 1.005403127346381 y1[1] (numeric) = 1.005403127346381 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.005507437251502 y2[1] (numeric) = 1.005506193777946 absolute error = 1.243473556122865e-06 relative error = 0.00012366627138252 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.005507437251502 y1[1] (numeric) = 1.005507437251502 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.005612741649103 y2[1] (numeric) = 1.00561124955824 absolute error = 1.492090863752793e-06 relative error = 0.0001483762886005118 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.005612741649103 y1[1] (numeric) = 1.005612741649103 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.00571904043388 y2[1] (numeric) = 1.00571729975209 absolute error = 1.74068179026321e-06 relative error = 0.0001730783370186824 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.00571904043388 y1[1] (numeric) = 1.00571904043388 absolute error = 2.220446049250313e-16 relative error = 2.207819440598822e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.005826333499533 y2[1] (numeric) = 1.005824344253446 absolute error = 1.989246086742114e-06 relative error = 0.0001977723211740744 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.005826333499533 y1[1] (numeric) = 1.005826333499533 absolute error = 2.220446049250313e-16 relative error = 2.207583929051449e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.00593462073877 y2[1] (numeric) = 1.005932382955265 absolute error = 2.237783504499546e-06 relative error = 0.0002224581457248278 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.00593462073877 y1[1] (numeric) = 1.00593462073877 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.006043902043303 y2[1] (numeric) = 1.006041415749508 absolute error = 2.486293795511685e-06 relative error = 0.0002471357154953132 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006043902043303 y1[1] (numeric) = 1.006043902043303 absolute error = 2.220446049250313e-16 relative error = 2.20710651368248e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.006154177303852 y2[1] (numeric) = 1.006151442527141 absolute error = 2.734776710866527e-06 relative error = 0.0002718049353226154 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006154177303852 y1[1] (numeric) = 1.006154177303851 absolute error = 2.220446049250313e-16 relative error = 2.206864613135482e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.00626544641014 y2[1] (numeric) = 1.006262463178138 absolute error = 2.983232002096159e-06 relative error = 0.0002964657101899766 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.00626544641014 y1[1] (numeric) = 1.00626544641014 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.006377709250899 y2[1] (numeric) = 1.006374477591478 absolute error = 3.231659420954713e-06 relative error = 0.0003211179452057033 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006377709250899 y1[1] (numeric) = 1.006377709250899 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.006490965713866 y2[1] (numeric) = 1.006487485655147 absolute error = 3.480058718752232e-06 relative error = 0.0003457615455379632 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006490965713866 y1[1] (numeric) = 1.006490965713866 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.006605215685784 y2[1] (numeric) = 1.006601487256137 absolute error = 3.728429647242848e-06 relative error = 0.0003703964165040341 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006605215685784 y1[1] (numeric) = 1.006605215685784 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.006720459052404 y2[1] (numeric) = 1.006716482280446 absolute error = 3.976771958180692e-06 relative error = 0.0003950224635271551 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006720459052404 y1[1] (numeric) = 1.006720459052404 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.006836695698482 y2[1] (numeric) = 1.006832470613079 absolute error = 4.225085402875806e-06 relative error = 0.0004196395920934028 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006836695698482 y1[1] (numeric) = 1.006836695698482 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.006953925507782 y2[1] (numeric) = 1.006949452138048 absolute error = 4.473369733526411e-06 relative error = 0.0004442477078850059 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.006953925507782 y1[1] (numeric) = 1.006953925507782 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.007072148363073 y2[1] (numeric) = 1.007067426738372 absolute error = 4.721624701442551e-06 relative error = 0.0004688467166048855 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007072148363073 y1[1] (numeric) = 1.007072148363073 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.007191364146134 y2[1] (numeric) = 1.007186394296075 absolute error = 4.9698500586004e-06 relative error = 0.0004934365241320042 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007191364146134 y1[1] (numeric) = 1.007191364146134 absolute error = 2.220446049250313e-16 relative error = 2.204592025203413e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.007311572737747 y2[1] (numeric) = 1.007306354692191 absolute error = 5.218045556532047e-06 relative error = 0.0005180170364120854 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007311572737747 y1[1] (numeric) = 1.007311572737747 absolute error = 2.220446049250313e-16 relative error = 2.20432893788306e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.007432774017705 y2[1] (numeric) = 1.007427307806758 absolute error = 5.466210946991623e-06 relative error = 0.0005425881595247324 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007432774017705 y1[1] (numeric) = 1.007432774017705 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.007554967864806 y2[1] (numeric) = 1.007549253518824 absolute error = 5.714345982177349e-06 relative error = 0.0005671497997064215 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007554967864806 y1[1] (numeric) = 1.007554967864806 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.007678154156857 y2[1] (numeric) = 1.007672191706443 absolute error = 5.962450413843357e-06 relative error = 0.0005917018632633004 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007678154156857 y1[1] (numeric) = 1.007678154156857 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.007802332770671 y2[1] (numeric) = 1.007796122246677 absolute error = 6.210523993743777e-06 relative error = 0.0006162442566162431 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007802332770671 y1[1] (numeric) = 1.007802332770671 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.007927503582069 y2[1] (numeric) = 1.007921045015595 absolute error = 6.458566474076832e-06 relative error = 0.0006407768863458691 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.007927503582069 y1[1] (numeric) = 1.007927503582069 absolute error = 2.220446049250313e-16 relative error = 2.202981902328371e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.008053666465881 y2[1] (numeric) = 1.008046959888275 absolute error = 6.706577606374609e-06 relative error = 0.000665299659083339 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008053666465881 y1[1] (numeric) = 1.008053666465881 absolute error = 2.220446049250313e-16 relative error = 2.202706188287512e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.008180821295944 y2[1] (numeric) = 1.008173866738802 absolute error = 6.954557142835327e-06 relative error = 0.0006898124816434953 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008180821295944 y1[1] (numeric) = 1.008180821295944 absolute error = 2.220446049250313e-16 relative error = 2.202428376286794e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.008308967945104 y2[1] (numeric) = 1.008301765440268 absolute error = 7.202504835657209e-06 relative error = 0.0007143152609597084 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008308967945104 y1[1] (numeric) = 1.008308967945103 absolute error = 4.440892098500626e-16 relative error = 4.404296936435069e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 1.008438106285212 y2[1] (numeric) = 1.008430655864776 absolute error = 7.45042043637234e-06 relative error = 0.000738807904018769 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008438106285212 y1[1] (numeric) = 1.008438106285212 absolute error = 2.220446049250313e-16 relative error = 2.201866465984492e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.008568236187132 y2[1] (numeric) = 1.008560537883434 absolute error = 7.698303697623032e-06 relative error = 0.0007632903180380029 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008568236187132 y1[1] (numeric) = 1.008568236187131 absolute error = 2.220446049250313e-16 relative error = 2.201582371505826e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.008699357520732 y2[1] (numeric) = 1.008691411366361 absolute error = 7.946154371385461e-06 relative error = 0.0007877624102900392 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008699357520732 y1[1] (numeric) = 1.008699357520732 absolute error = 2.220446049250313e-16 relative error = 2.201296186713071e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 1.008831470154893 y2[1] (numeric) = 1.008823276182683 absolute error = 8.193972209413758e-06 relative error = 0.0008122240881478133 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008831470154893 y1[1] (numeric) = 1.008831470154893 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.008964573957501 y2[1] (numeric) = 1.008956132200536 absolute error = 8.441756964572278e-06 relative error = 0.0008366752592175608 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.008964573957501 y1[1] (numeric) = 1.008964573957501 absolute error = 2.220446049250313e-16 relative error = 2.200717553978106e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.009098668795452 y2[1] (numeric) = 1.009089979287064 absolute error = 8.689508388393108e-06 relative error = 0.0008611158310976331 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.009098668795452 y1[1] (numeric) = 1.009098668795452 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.009233754534652 y2[1] (numeric) = 1.009224817308418 absolute error = 8.937226233740603e-06 relative error = 0.0008855457116435303 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.009233754534652 y1[1] (numeric) = 1.009233754534652 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.009369831040015 y2[1] (numeric) = 1.009360646129762 absolute error = 9.184910252590939e-06 relative error = 0.0009099648087487587 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.009369831040015 y1[1] (numeric) = 1.009369831040015 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.009506898175464 y2[1] (numeric) = 1.009497465615267 absolute error = 9.432560197142337e-06 relative error = 0.0009343730304557907 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.009506898175464 y1[1] (numeric) = 1.009506898175464 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.009644955803933 y2[1] (numeric) = 1.009635275628113 absolute error = 9.680175820037107e-06 relative error = 0.0009587702849789646 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.009644955803933 y1[1] (numeric) = 1.009644955803933 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 1.009784003787363 y2[1] (numeric) = 1.009774076030489 absolute error = 9.92775687347347e-06 relative error = 0.0009831564806174159 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.009784003787363 y1[1] (numeric) = 1.009784003787363 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.009924041986707 y2[1] (numeric) = 1.009913866683597 absolute error = 1.017530310987169e-05 relative error = 0.001007531525821981 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.009924041986707 y1[1] (numeric) = 1.009924041986707 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.010065070261926 y2[1] (numeric) = 1.010054647447645 absolute error = 1.042281428142999e-05 relative error = 0.00103189532915213 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010065070261926 y1[1] (numeric) = 1.010065070261926 absolute error = 2.220446049250313e-16 relative error = 2.19831980594529e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.010207088471993 y2[1] (numeric) = 1.010196418181851 absolute error = 1.067029014123477e-05 relative error = 0.001056247799386789 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010207088471993 y1[1] (numeric) = 1.010207088471993 absolute error = 2.220446049250313e-16 relative error = 2.198010758971103e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.010350096474888 y2[1] (numeric) = 1.010339178744447 absolute error = 1.091773044148425e-05 relative error = 0.001080588845349371 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010350096474888 y1[1] (numeric) = 1.010350096474889 absolute error = 2.220446049250313e-16 relative error = 2.197699645892498e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.010494094127605 y2[1] (numeric) = 1.01048292899267 absolute error = 1.116513493482074e-05 relative error = 0.001104918376040584 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010494094127605 y1[1] (numeric) = 1.010494094127605 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.010639081286145 y2[1] (numeric) = 1.010627668782772 absolute error = 1.141250337366451e-05 relative error = 0.001129236300573384 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010639081286145 y1[1] (numeric) = 1.010639081286145 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.010785057805522 y2[1] (numeric) = 1.010773397970011 absolute error = 1.165983551065786e-05 relative error = 0.001153542528217829 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010785057805522 y1[1] (numeric) = 1.010785057805522 absolute error = 2.220446049250313e-16 relative error = 2.196753931118691e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.010932023539758 y2[1] (numeric) = 1.010920116408659 absolute error = 1.190713109866515e-05 relative error = 0.001177836968401947 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.010932023539758 y1[1] (numeric) = 1.010932023539758 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.011079978341888 y2[1] (numeric) = 1.011067823951998 absolute error = 1.215438989010664e-05 relative error = 0.001202119530646738 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.011079978341888 y1[1] (numeric) = 1.011079978341888 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.011228922063958 y2[1] (numeric) = 1.01121652045232 absolute error = 1.240161163806874e-05 relative error = 0.001226390124676871 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.011228922063958 y1[1] (numeric) = 1.011228922063958 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1510000000000001 y2[1] (analytic) = 1.011378854557023 y2[1] (numeric) = 1.011366205760928 absolute error = 1.264879609519376e-05 relative error = 0.001250648660311753 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.011378854557023 y1[1] (numeric) = 1.011378854557023 absolute error = 2.220446049250313e-16 relative error = 2.195464181642253e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1520000000000001 y2[1] (analytic) = 1.011529775671151 y2[1] (numeric) = 1.011516879728137 absolute error = 1.2895943014124e-05 relative error = 0.001274895047510345 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.011529775671151 y1[1] (numeric) = 1.011529775671151 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1530000000000001 y2[1] (analytic) = 1.011681685255421 y2[1] (numeric) = 1.011668542203273 absolute error = 1.314305214794587e-05 relative error = 0.001299129196415928 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.011681685255421 y1[1] (numeric) = 1.011681685255421 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1540000000000001 y2[1] (analytic) = 1.011834583157923 y2[1] (numeric) = 1.011821193034674 absolute error = 1.339012324930167e-05 relative error = 0.001323351017269172 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.011834583157923 y1[1] (numeric) = 1.011834583157923 absolute error = 2.220446049250313e-16 relative error = 2.194475348253396e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1550000000000001 y2[1] (analytic) = 1.01198846922576 y2[1] (numeric) = 1.011974832069689 absolute error = 1.363715607149985e-05 relative error = 0.001347560420518743 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.01198846922576 y1[1] (numeric) = 1.01198846922576 absolute error = 2.220446049250313e-16 relative error = 2.194141649607041e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1560000000000001 y2[1] (analytic) = 1.012143343305046 y2[1] (numeric) = 1.012129459154678 absolute error = 1.388415036718271e-05 relative error = 0.001371757316690491 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.012143343305046 y1[1] (numeric) = 1.012143343305046 absolute error = 2.220446049250313e-16 relative error = 2.193805910929261e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1570000000000001 y2[1] (analytic) = 1.012299205240905 y2[1] (numeric) = 1.012285074135016 absolute error = 1.413110588943667e-05 relative error = 0.001395941616498036 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.012299205240905 y1[1] (numeric) = 1.012299205240905 absolute error = 2.220446049250313e-16 relative error = 2.193468134475019e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1580000000000001 y2[1] (analytic) = 1.012456054877477 y2[1] (numeric) = 1.012441676855086 absolute error = 1.437802239157016e-05 relative error = 0.001420113230821669 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.012456054877477 y1[1] (numeric) = 1.012456054877478 absolute error = 2.220446049250313e-16 relative error = 2.193128322511757e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1590000000000001 y2[1] (analytic) = 1.012613892057912 y2[1] (numeric) = 1.012599267158286 absolute error = 1.462489962622548e-05 relative error = 0.001444272070621472 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.012613892057912 y1[1] (numeric) = 1.012613892057913 absolute error = 2.220446049250313e-16 relative error = 2.192786477319357e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1600000000000001 y2[1] (analytic) = 1.012772716624373 y2[1] (numeric) = 1.012757844887026 absolute error = 1.48717373467111e-05 relative error = 0.001468418047069773 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.012772716624373 y1[1] (numeric) = 1.012772716624373 absolute error = 4.440892098500626e-16 relative error = 4.384885202380218e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1610000000000001 y2[1] (analytic) = 1.012932528418035 y2[1] (numeric) = 1.012917409882728 absolute error = 1.511853530633545e-05 relative error = 0.001492551071486181 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.012932528418035 y1[1] (numeric) = 1.012932528418035 absolute error = 4.440892098500626e-16 relative error = 4.384193392857338e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1620000000000001 y2[1] (analytic) = 1.013093327279086 y2[1] (numeric) = 1.013077961985828 absolute error = 1.536529325796288e-05 relative error = 0.001516671055294599 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.013093327279086 y1[1] (numeric) = 1.013093327279086 absolute error = 4.440892098500626e-16 relative error = 4.383497530704053e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1630000000000001 y2[1] (analytic) = 1.013255113046728 y2[1] (numeric) = 1.013239501035772 absolute error = 1.561201095534592e-05 relative error = 0.001540777910155579 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.013255113046728 y1[1] (numeric) = 1.013255113046728 absolute error = 2.220446049250313e-16 relative error = 2.191398810289462e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1640000000000001 y2[1] (analytic) = 1.013417885559174 y2[1] (numeric) = 1.013402026871023 absolute error = 1.58586881511269e-05 relative error = 0.001564871547769906 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.013417885559174 y1[1] (numeric) = 1.013417885559174 absolute error = 2.220446049250313e-16 relative error = 2.191046833582513e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1650000000000001 y2[1] (analytic) = 1.013581644653652 y2[1] (numeric) = 1.013565539329053 absolute error = 1.610532459905833e-05 relative error = 0.001588951880098582 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.013581644653652 y1[1] (numeric) = 1.013581644653653 absolute error = 2.220446049250313e-16 relative error = 2.190692837584933e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1660000000000001 y2[1] (analytic) = 1.013746390166404 y2[1] (numeric) = 1.013730038246351 absolute error = 1.635192005244868e-05 relative error = 0.001613018819210251 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.013746390166404 y1[1] (numeric) = 1.013746390166404 absolute error = 2.220446049250313e-16 relative error = 2.190336824662658e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1670000000000001 y2[1] (analytic) = 1.013912121932683 y2[1] (numeric) = 1.013895523458419 absolute error = 1.659847426460637e-05 relative error = 0.001637072277325864 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.013912121932683 y1[1] (numeric) = 1.013912121932683 absolute error = 2.220446049250313e-16 relative error = 2.189978797193762e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1680000000000001 y2[1] (analytic) = 1.014078839786758 y2[1] (numeric) = 1.014061994799769 absolute error = 1.684498698906189e-05 relative error = 0.001661112166841394 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.014078839786758 y1[1] (numeric) = 1.014078839786759 absolute error = 2.220446049250313e-16 relative error = 2.189618757568426e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1690000000000001 y2[1] (analytic) = 1.014246543561912 y2[1] (numeric) = 1.014229452103932 absolute error = 1.709145797934575e-05 relative error = 0.001685138400306754 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.014246543561912 y1[1] (numeric) = 1.014246543561912 absolute error = 2.220446049250313e-16 relative error = 2.189256708188893e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1700000000000001 y2[1] (analytic) = 1.014415233090439 y2[1] (numeric) = 1.01439789520345 absolute error = 1.733788698898842e-05 relative error = 0.00170915089042661 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.014415233090439 y1[1] (numeric) = 1.014415233090439 absolute error = 2.220446049250313e-16 relative error = 2.188892651469432e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1710000000000001 y2[1] (analytic) = 1.014584908203652 y2[1] (numeric) = 1.01456732392988 absolute error = 1.758427377129834e-05 relative error = 0.001733149550039311 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.014584908203652 y1[1] (numeric) = 1.014584908203652 absolute error = 2.220446049250313e-16 relative error = 2.1885265898363e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1720000000000001 y2[1] (analytic) = 1.014755568731874 y2[1] (numeric) = 1.014737738113793 absolute error = 1.78306180802501e-05 relative error = 0.001757134292205244 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.014755568731874 y1[1] (numeric) = 1.014755568731874 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1730000000000001 y2[1] (analytic) = 1.014927214504445 y2[1] (numeric) = 1.014909137584776 absolute error = 1.807691966915215e-05 relative error = 0.00178110503007632 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.014927214504445 y1[1] (numeric) = 1.014927214504445 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1740000000000001 y2[1] (analytic) = 1.015099845349719 y2[1] (numeric) = 1.015081522171427 absolute error = 1.832317829197905e-05 relative error = 0.001805061677028076 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.015099845349719 y1[1] (numeric) = 1.015099845349719 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1750000000000001 y2[1] (analytic) = 1.015273461095066 y2[1] (numeric) = 1.015254891701364 absolute error = 1.856939370248334e-05 relative error = 0.001829004146572937 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.015273461095066 y1[1] (numeric) = 1.015273461095066 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1760000000000001 y2[1] (analytic) = 1.015448061566871 y2[1] (numeric) = 1.015429246001216 absolute error = 1.881556565441755e-05 relative error = 0.001852932352382898 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.015448061566871 y1[1] (numeric) = 1.01544806156687 absolute error = 2.220446049250313e-16 relative error = 2.186666293718745e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1770000000000001 y2[1] (analytic) = 1.015623646590531 y2[1] (numeric) = 1.01560458489663 absolute error = 1.906169390131218e-05 relative error = 0.001876846208268454 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.015623646590531 y1[1] (numeric) = 1.015623646590531 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1780000000000001 y2[1] (analytic) = 1.015800215990463 y2[1] (numeric) = 1.015780908212265 absolute error = 1.930777819736385e-05 relative error = 0.001900745628266841 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.015800215990463 y1[1] (numeric) = 1.015800215990463 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1790000000000001 y2[1] (analytic) = 1.015977769590096 y2[1] (numeric) = 1.0159582157718 absolute error = 1.955381829632508e-05 relative error = 0.001924630526533489 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.015977769590096 y1[1] (numeric) = 1.015977769590096 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1800000000000001 y2[1] (analytic) = 1.016156307211879 y2[1] (numeric) = 1.016136507397926 absolute error = 1.97998139523925e-05 relative error = 0.00194850081743025 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.016156307211879 y1[1] (numeric) = 1.016156307211879 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1810000000000001 y2[1] (analytic) = 1.016335828677271 y2[1] (numeric) = 1.016315782912352 absolute error = 2.00457649190966e-05 relative error = 0.001972356415416892 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.016335828677271 y1[1] (numeric) = 1.016335828677272 absolute error = 2.220446049250313e-16 relative error = 2.184756245521869e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1820000000000001 y2[1] (analytic) = 1.016516333806754 y2[1] (numeric) = 1.016496042135803 absolute error = 2.029167095085604e-05 relative error = 0.001996197235204842 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.016516333806754 y1[1] (numeric) = 1.016516333806754 absolute error = 2.220446049250313e-16 relative error = 2.184368293360286e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1830000000000001 y2[1] (analytic) = 1.01669782241982 y2[1] (numeric) = 1.016677284888019 absolute error = 2.053753180186746e-05 relative error = 0.002020023191648678 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.01669782241982 y1[1] (numeric) = 1.016697822419821 absolute error = 2.220446049250313e-16 relative error = 2.18397836632076e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1840000000000001 y2[1] (analytic) = 1.016880294334983 y2[1] (numeric) = 1.016859510987757 absolute error = 2.078334722610542e-05 relative error = 0.00204383419974691 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.016880294334983 y1[1] (numeric) = 1.016880294334983 absolute error = 2.220446049250313e-16 relative error = 2.183586466981776e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1850000000000001 y2[1] (analytic) = 1.017063749369769 y2[1] (numeric) = 1.017042720252791 absolute error = 2.10291169775445e-05 relative error = 0.002067630174664603 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.017063749369769 y1[1] (numeric) = 1.017063749369769 absolute error = 2.220446049250313e-16 relative error = 2.183192597933246e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1860000000000001 y2[1] (analytic) = 1.017248187340723 y2[1] (numeric) = 1.017226912499912 absolute error = 2.127484081060338e-05 relative error = 0.00209141103177778 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.017248187340723 y1[1] (numeric) = 1.017248187340723 absolute error = 2.220446049250313e-16 relative error = 2.182796761776469e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1870000000000001 y2[1] (analytic) = 1.017433608063409 y2[1] (numeric) = 1.017412087544929 absolute error = 2.152051847970071e-05 relative error = 0.002115176686630496 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.017433608063409 y1[1] (numeric) = 1.017433608063409 absolute error = 2.220446049250313e-16 relative error = 2.182398961124086e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1880000000000001 y2[1] (analytic) = 1.017620011352404 y2[1] (numeric) = 1.017598245202665 absolute error = 2.176614973903312e-05 relative error = 0.002138927054913768 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.017620011352404 y1[1] (numeric) = 1.017620011352404 absolute error = 2.220446049250313e-16 relative error = 2.181999198600044e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1890000000000001 y2[1] (analytic) = 1.017807397021306 y2[1] (numeric) = 1.017785385286963 absolute error = 2.201173434301928e-05 relative error = 0.00216266205250997 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.017807397021306 y1[1] (numeric) = 1.017807397021307 absolute error = 2.220446049250313e-16 relative error = 2.181597476839551e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1900000000000001 y2[1] (analytic) = 1.01799576488273 y2[1] (numeric) = 1.017973507610684 absolute error = 2.225727204585581e-05 relative error = 0.002186381595449937 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.01799576488273 y1[1] (numeric) = 1.01799576488273 absolute error = 2.220446049250313e-16 relative error = 2.181193798489036e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1910000000000001 y2[1] (analytic) = 1.018185114748306 y2[1] (numeric) = 1.018162611985704 absolute error = 2.250276260218342e-05 relative error = 0.002210085599979142 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.018185114748306 y1[1] (numeric) = 1.018185114748307 absolute error = 4.440892098500626e-16 relative error = 4.361576332412213e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1920000000000001 y2[1] (analytic) = 1.018375446428686 y2[1] (numeric) = 1.01835269822292 absolute error = 2.274820576664283e-05 relative error = 0.002233773982514788 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.018375446428686 y1[1] (numeric) = 1.018375446428687 absolute error = 4.440892098500626e-16 relative error = 4.36076116531901e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1930000000000001 y2[1] (analytic) = 1.018566759733538 y2[1] (numeric) = 1.018543766132245 absolute error = 2.299360129365269e-05 relative error = 0.002257446659624737 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.018566759733538 y1[1] (numeric) = 1.018566759733539 absolute error = 4.440892098500626e-16 relative error = 4.359942101058141e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1940000000000001 y2[1] (analytic) = 1.018759054471549 y2[1] (numeric) = 1.018735815522611 absolute error = 2.323894893763168e-05 relative error = 0.002281103548050054 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.018759054471549 y1[1] (numeric) = 1.018759054471549 absolute error = 6.661338147750939e-16 relative error = 6.538678717517081e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1950000000000001 y2[1] (analytic) = 1.018952330450423 y2[1] (numeric) = 1.018928846201969 absolute error = 2.348424845344255e-05 relative error = 0.00230474456474931 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.018952330450423 y1[1] (numeric) = 1.018952330450423 absolute error = 6.661338147750939e-16 relative error = 6.537438453873823e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1960000000000001 y2[1] (analytic) = 1.019146587476885 y2[1] (numeric) = 1.019122857977289 absolute error = 2.372949959572601e-05 relative error = 0.002328369626833904 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.019146587476885 y1[1] (numeric) = 1.019146587476885 absolute error = 6.661338147750939e-16 relative error = 6.536192368796041e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1970000000000001 y2[1] (analytic) = 1.019341825356677 y2[1] (numeric) = 1.019317850654558 absolute error = 2.397470211934483e-05 relative error = 0.002351978651612363 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.019341825356677 y1[1] (numeric) = 1.019341825356678 absolute error = 6.661338147750939e-16 relative error = 6.534940470455114e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1980000000000001 y2[1] (analytic) = 1.019538043894563 y2[1] (numeric) = 1.019513824038784 absolute error = 2.42198557789397e-05 relative error = 0.002375571556547471 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.019538043894563 y1[1] (numeric) = 1.019538043894564 absolute error = 6.661338147750939e-16 relative error = 6.533682767055068e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1990000000000001 y2[1] (analytic) = 1.019735242894323 y2[1] (numeric) = 1.019710777933993 absolute error = 2.446496032959544e-05 relative error = 0.002399148259322326 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.019735242894323 y1[1] (numeric) = 1.019735242894324 absolute error = 6.661338147750939e-16 relative error = 6.532419266832446e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2000000000000001 y2[1] (analytic) = 1.019933422158758 y2[1] (numeric) = 1.019908712143232 absolute error = 2.471001552595276e-05 relative error = 0.002422708677753919 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.019933422158758 y1[1] (numeric) = 1.019933422158759 absolute error = 6.661338147750939e-16 relative error = 6.53114997805618e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2010000000000001 y2[1] (analytic) = 1.02013258148969 y2[1] (numeric) = 1.020107626468567 absolute error = 2.495502112309644e-05 relative error = 0.00244625272988094 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.02013258148969 y1[1] (numeric) = 1.020132581489691 absolute error = 6.661338147750939e-16 relative error = 6.529874909027462e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2020000000000001 y2[1] (analytic) = 1.020332720687958 y2[1] (numeric) = 1.020307520711083 absolute error = 2.519997687588926e-05 relative error = 0.002469780333899142 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.020332720687958 y1[1] (numeric) = 1.020332720687959 absolute error = 6.661338147750939e-16 relative error = 6.528594068079614e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2030000000000001 y2[1] (analytic) = 1.020533839553424 y2[1] (numeric) = 1.020508394670885 absolute error = 2.544488253941601e-05 relative error = 0.002493291408205576 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.020533839553424 y1[1] (numeric) = 1.020533839553425 absolute error = 6.661338147750939e-16 relative error = 6.527307463577959e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2040000000000001 y2[1] (analytic) = 1.020735937884969 y2[1] (numeric) = 1.020710248147101 absolute error = 2.56897378687615e-05 relative error = 0.002516785871377497 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.020735937884969 y1[1] (numeric) = 1.02073593788497 absolute error = 6.661338147750939e-16 relative error = 6.526015103919688e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2050000000000001 y2[1] (analytic) = 1.020939015480495 y2[1] (numeric) = 1.020913080937876 absolute error = 2.593454261923256e-05 relative error = 0.0025402636421948 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.020939015480495 y1[1] (numeric) = 1.020939015480496 absolute error = 6.661338147750939e-16 relative error = 6.524716997533732e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2060000000000001 y2[1] (analytic) = 1.021143072136923 y2[1] (numeric) = 1.021116892840378 absolute error = 2.617929654569195e-05 relative error = 0.002563724639575444 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.021143072136923 y1[1] (numeric) = 1.021143072136924 absolute error = 6.661338147750939e-16 relative error = 6.52341315288063e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2070000000000001 y2[1] (analytic) = 1.021348107650198 y2[1] (numeric) = 1.021321683650794 absolute error = 2.642399940389062e-05 relative error = 0.00258716878270661 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.021348107650198 y1[1] (numeric) = 1.021348107650199 absolute error = 6.661338147750939e-16 relative error = 6.522103578452396e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2080000000000001 y2[1] (analytic) = 1.021554121815283 y2[1] (numeric) = 1.021527453164335 absolute error = 2.666865094869131e-05 relative error = 0.002610595990871398 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.021554121815283 y1[1] (numeric) = 1.021554121815284 absolute error = 6.661338147750939e-16 relative error = 6.52078828277239e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2090000000000001 y2[1] (analytic) = 1.021761114426166 y2[1] (numeric) = 1.02173420117523 absolute error = 2.691325093562291e-05 relative error = 0.002634006183601707 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.021761114426166 y1[1] (numeric) = 1.021761114426166 absolute error = 6.661338147750939e-16 relative error = 6.519467274395184e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2100000000000001 y2[1] (analytic) = 1.021969085275852 y2[1] (numeric) = 1.021941927476732 absolute error = 2.715779912021432e-05 relative error = 0.002657399280613644 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.021969085275852 y1[1] (numeric) = 1.021969085275853 absolute error = 6.661338147750939e-16 relative error = 6.518140561906429e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2110000000000001 y2[1] (analytic) = 1.022178034156371 y2[1] (numeric) = 1.022150631861114 absolute error = 2.740229525755034e-05 relative error = 0.002680775201764742 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.022178034156371 y1[1] (numeric) = 1.022178034156372 absolute error = 8.881784197001252e-16 relative error = 8.689077538563631e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2120000000000001 y2[1] (analytic) = 1.022387960858775 y2[1] (numeric) = 1.022360314119672 absolute error = 2.764673910338189e-05 relative error = 0.002704133867163251 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.022387960858775 y1[1] (numeric) = 1.022387960858776 absolute error = 8.881784197001252e-16 relative error = 8.687293412121973e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2130000000000001 y2[1] (analytic) = 1.022598865173136 y2[1] (numeric) = 1.022570974042723 absolute error = 2.789113041323787e-05 relative error = 0.002727475197081861 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.022598865173136 y1[1] (numeric) = 1.022598865173137 absolute error = 8.881784197001252e-16 relative error = 8.68550171478772e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2140000000000001 y2[1] (analytic) = 1.022810746888551 y2[1] (numeric) = 1.022782611419608 absolute error = 2.813546894286922e-05 relative error = 0.002750799112001798 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.022810746888551 y1[1] (numeric) = 1.022810746888552 absolute error = 8.881784197001252e-16 relative error = 8.683702458172392e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2150000000000001 y2[1] (analytic) = 1.023023605793138 y2[1] (numeric) = 1.02299522603869 absolute error = 2.837975444758278e-05 relative error = 0.002774105532548323 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.023023605793138 y1[1] (numeric) = 1.023023605793139 absolute error = 8.881784197001252e-16 relative error = 8.681895653928058e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2160000000000001 y2[1] (analytic) = 1.023237441674037 y2[1] (numeric) = 1.023208817687354 absolute error = 2.862398668312949e-05 relative error = 0.002797394379578221 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.023237441674037 y1[1] (numeric) = 1.023237441674038 absolute error = 8.881784197001252e-16 relative error = 8.680081313747155e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2170000000000001 y2[1] (analytic) = 1.023452254317413 y2[1] (numeric) = 1.023423386152007 absolute error = 2.886816540570436e-05 relative error = 0.002820665574180386 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.023452254317413 y1[1] (numeric) = 1.023452254317414 absolute error = 8.881784197001252e-16 relative error = 8.678259449362313e-14 % Correct digits = 15 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2180000000000001 y2[1] (analytic) = 1.023668043508454 y2[1] (numeric) = 1.023638931218083 absolute error = 2.911229037061425e-05 relative error = 0.002843919037546261 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.023668043508454 y1[1] (numeric) = 1.023668043508455 absolute error = 1.110223024625157e-15 relative error = 1.084553759068272e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2190000000000001 y2[1] (analytic) = 1.023884809031369 y2[1] (numeric) = 1.023855452670035 absolute error = 2.935636133427622e-05 relative error = 0.002867154691165733 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.023884809031369 y1[1] (numeric) = 1.02388480903137 absolute error = 1.110223024625157e-15 relative error = 1.084324149388901e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2200000000000001 y2[1] (analytic) = 1.024102550669395 y2[1] (numeric) = 1.024072950291342 absolute error = 2.960037805221916e-05 relative error = 0.002890372456632508 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.024102550669395 y1[1] (numeric) = 1.024102550669396 absolute error = 1.110223024625157e-15 relative error = 1.084093603613691e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2210000000000001 y2[1] (analytic) = 1.024321268204788 y2[1] (numeric) = 1.024291423864507 absolute error = 2.984434028041605e-05 relative error = 0.002913572255774876 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.024321268204788 y1[1] (numeric) = 1.024321268204789 absolute error = 1.332267629550188e-15 relative error = 1.300634547874909e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2220000000000001 y2[1] (analytic) = 1.024540961418832 y2[1] (numeric) = 1.024510873171056 absolute error = 3.008824777528396e-05 relative error = 0.002936754010656281 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.024540961418832 y1[1] (numeric) = 1.024540961418833 absolute error = 1.110223024625157e-15 relative error = 1.08362970972646e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2230000000000001 y2[1] (analytic) = 1.024761630091833 y2[1] (numeric) = 1.02473129799154 absolute error = 3.033210029235178e-05 relative error = 0.002959917643445883 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.024761630091833 y1[1] (numeric) = 1.024761630091834 absolute error = 1.332267629550188e-15 relative error = 1.300075637522453e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2240000000000001 y2[1] (analytic) = 1.024983274003122 y2[1] (numeric) = 1.024952698105534 absolute error = 3.057589758848067e-05 relative error = 0.002983063076635876 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.024983274003122 y1[1] (numeric) = 1.024983274003124 absolute error = 1.110223024625157e-15 relative error = 1.083162089356957e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2250000000000001 y2[1] (analytic) = 1.025205892931057 y2[1] (numeric) = 1.025175073291638 absolute error = 3.081963941919952e-05 relative error = 0.003006190232782059 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.025205892931057 y1[1] (numeric) = 1.025205892931058 absolute error = 1.110223024625157e-15 relative error = 1.082926885497153e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2260000000000001 y2[1] (analytic) = 1.025429486653017 y2[1] (numeric) = 1.025398423327476 absolute error = 3.106332554092539e-05 relative error = 0.003029299034721102 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.025429486653017 y1[1] (numeric) = 1.025429486653018 absolute error = 1.332267629550188e-15 relative error = 1.299228905440085e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2270000000000001 y2[1] (analytic) = 1.025654054945409 y2[1] (numeric) = 1.025622747989699 absolute error = 3.13069557102974e-05 relative error = 0.003052389405506101 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.025654054945409 y1[1] (numeric) = 1.025654054945411 absolute error = 1.332267629550188e-15 relative error = 1.29894443757754e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2280000000000001 y2[1] (analytic) = 1.025879597583666 y2[1] (numeric) = 1.025848047053982 absolute error = 3.155052968328853e-05 relative error = 0.003075461268320567 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.025879597583666 y1[1] (numeric) = 1.025879597583667 absolute error = 1.332267629550188e-15 relative error = 1.298658860833359e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2290000000000001 y2[1] (analytic) = 1.026106114342243 y2[1] (numeric) = 1.026074320295027 absolute error = 3.179404721653789e-05 relative error = 0.003098514546608913 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.026106114342243 y1[1] (numeric) = 1.026106114342245 absolute error = 1.332267629550188e-15 relative error = 1.298372177037656e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2300000000000001 y2[1] (analytic) = 1.026333604994625 y2[1] (numeric) = 1.026301567486559 absolute error = 3.203750806646255e-05 relative error = 0.003121549163990428 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.026333604994625 y1[1] (numeric) = 1.026333604994627 absolute error = 1.332267629550188e-15 relative error = 1.298084388026216e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2310000000000001 y2[1] (analytic) = 1.026562069313321 y2[1] (numeric) = 1.026529788401331 absolute error = 3.228091198970162e-05 relative error = 0.003144565044303136 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.026562069313321 y1[1] (numeric) = 1.026562069313322 absolute error = 1.332267629550188e-15 relative error = 1.29779549564047e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2320000000000001 y2[1] (analytic) = 1.026791507069867 y2[1] (numeric) = 1.026758982811124 absolute error = 3.252425874289422e-05 relative error = 0.003167562111582712 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.026791507069867 y1[1] (numeric) = 1.026791507069868 absolute error = 1.332267629550188e-15 relative error = 1.297505501727466e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2330000000000001 y2[1] (analytic) = 1.027021918034824 y2[1] (numeric) = 1.026989150486741 absolute error = 3.276754808223536e-05 relative error = 0.003190540290019818 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.027021918034824 y1[1] (numeric) = 1.027021918034825 absolute error = 1.554312234475219e-15 relative error = 1.513416809496481e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2340000000000001 y2[1] (analytic) = 1.027253301977782 y2[1] (numeric) = 1.027220291198017 absolute error = 3.301077976503031e-05 relative error = 0.003213499504112014 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.027253301977782 y1[1] (numeric) = 1.027253301977783 absolute error = 1.554312234475219e-15 relative error = 1.513075919525092e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2350000000000001 y2[1] (analytic) = 1.027485658667357 y2[1] (numeric) = 1.027452404713809 absolute error = 3.325395354791816e-05 relative error = 0.003236439678491313 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.027485658667357 y1[1] (numeric) = 1.027485658667359 absolute error = 1.554312234475219e-15 relative error = 1.51273375094223e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2360000000000001 y2[1] (analytic) = 1.027718987871192 y2[1] (numeric) = 1.027685490802005 absolute error = 3.349706918731599e-05 relative error = 0.003259360737968022 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.027718987871192 y1[1] (numeric) = 1.027718987871194 absolute error = 1.77635683940025e-15 relative error = 1.728446063918484e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2370000000000001 y2[1] (analytic) = 1.027953289355959 y2[1] (numeric) = 1.027919549229518 absolute error = 3.374012644052904e-05 relative error = 0.003282262607639318 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.027953289355959 y1[1] (numeric) = 1.027953289355961 absolute error = 1.77635683940025e-15 relative error = 1.728052099053243e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2380000000000001 y2[1] (analytic) = 1.028188562887355 y2[1] (numeric) = 1.028154579762291 absolute error = 3.398312506441847e-05 relative error = 0.003305145212760118 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.028188562887355 y1[1] (numeric) = 1.028188562887357 absolute error = 1.77635683940025e-15 relative error = 1.727656680416569e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2390000000000001 y2[1] (analytic) = 1.028424808230107 y2[1] (numeric) = 1.028390582165291 absolute error = 3.422606481584545e-05 relative error = 0.003328008478786857 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.028424808230107 y1[1] (numeric) = 1.028424808230109 absolute error = 1.77635683940025e-15 relative error = 1.727259810522575e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2400000000000001 y2[1] (analytic) = 1.02866202514797 y2[1] (numeric) = 1.028627556202518 absolute error = 3.446894545189316e-05 relative error = 0.003350852331399606 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.02866202514797 y1[1] (numeric) = 1.028662025147972 absolute error = 1.77635683940025e-15 relative error = 1.726861491892564e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2410000000000001 y2[1] (analytic) = 1.028900213403728 y2[1] (numeric) = 1.028865501636998 absolute error = 3.471176672986687e-05 relative error = 0.00337367669650258 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.028900213403728 y1[1] (numeric) = 1.028900213403729 absolute error = 1.554312234475219e-15 relative error = 1.510654011173119e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.2420000000000001 y2[1] (analytic) = 1.02913937275919 y2[1] (numeric) = 1.029104418230783 absolute error = 3.495452840662772e-05 relative error = 0.003396481500159919 % Correct digits = 4 h = 0.001 y1[1] (analytic) = 1.02913937275919 y1[1] (numeric) = 1.029139372759192 absolute error = 1.77635683940025e-15 relative error = 1.726060518545434e-13 % Correct digits = 14 h = 0.001 Finished! Maximum Time Reached before Solution Completed! diff ( y2 , x , 1 ) = diff ( y1, x , 1) ; diff ( y1 , x , 1 ) = sin ( x ) ; Iterations = 142 Total Elapsed Time = 3 Minutes 1 Seconds Elapsed Time(since restart) = 2 Minutes 58 Seconds Expected Time Remaining = 1 Hours 40 Minutes 21 Seconds Optimized Time Remaining = 1 Hours 38 Minutes 41 Seconds Expected Total Time = 1 Hours 41 Minutes 42 Seconds Time to Timeout Unknown Percent Done = 2.918 %