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

Table 2

Comparison of the proposed method with [12].

value	Exact solution	Computed solution for ;  ;	Error in new method	Error for [12]
0.100	1.050041729278491400	1.050041729278491200
0.200	1.100335347731075600	1.100335347731075300
0.300	1.151140435936466800	1.151140435936466100
0.400	1.202732554054082100	1.202732554054081000
0.500	1.255412811882995200	1.255412811882994800
0.600	1.309519604203111900	1.309519604203112800
0.700	1.365443754271396400	1.365443754271398000
0.800	1.423648930193601900	1.423648930193606400
0.900	1.484700278594052000	1.484700278594060600
1.000	1.549306144334055000	1.549306144334067700