Journal of Applied Mathematics / 2017 / Article / Tab 3 / Research Article
Implicit One-Step Block Hybrid Third-Derivative Method for the Direct Solution of Initial Value Problems of Second-Order Ordinary Differential Equations Table 3 Comparison of the proposed method with [
13 ].
value Exact solution Computed solution for ; ; Error in new method Error for [13 ] 0.100 −0.105170918075647710 −0.105170918075647660 0.200 −0.221402758160169850 −0.221402758160169990 0.300 −0.349858807576003180 −0.349858807576003520 0.400 −0.491824697641270570 −0.491824697641271070 0.500 −0.648721270700128640 −0.648721270700129420 0.600 −0.822118800390509550 −0.822118800390510880 0.700 −1.013752707470477500 −1.013752707470479300 0.800 −1.225540928492468800 −1.225540928492471600 0.900 −1.459603111156951200 −1.459603111156955000 1.000 −1.718281828459047300 −1.718281828459052400