Implicit One-Step Block Hybrid Third-Derivative Method for the Direct Solution of Initial Value Problems of Second-Order Ordinary Differential Equations

Table 1

Comparison of the proposed method with [11].

value	Exact solution	Computed solution for ;  ;	Error in new method	Error for [11]
0.100	0.904837418035959520	0.904837418035948970
0.200	0.818730753077981820	0.818730753077964060
0.300	0.740818220681717770	0.740818220681694340
0.400	0.670320046035639330	0.670320046035611350
0.500	0.606530659712633420	0.606530659712602120
0.600	0.548811636094026500	0.548811636093992530
0.700	0.496585303791409530	0.496585303791373890
0.800	0.449328964117221620	0.449328964117184870
0.900	0.406569659740599170	0.406569659740561860
1.000	0.367879441171442330	0.367879441171404920