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