A 14-Order Hybrid Block Method in Variable Step-Size Mode for Solving Second-Order Initial Value Problems

Table 3

Comparison of numerical solutions.

x	VHM	NDSolve
0	0	0
0.5	0.24030707	0.24030707
1.0	0.42277363	0.42277361
1.5	0.50228041	0.50228038
2.0	0.45888178	0.45888176
2.5	0.30272754	0.30272754
3.5	−0.17829328	−0.17829325
4.5	−0.49920271	−0.49920270
5.5	−0.36193141	−0.36193145
6.5	0.11085609	0.11085605
7.5	0.48578439	0.48578440
8.5	0.41539055	0.41539062
9.5	−0.03923230	−0.03923225
10.0	−0.28502433	−0.28502430