Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 11

Comparison of first-order absolute error of LSHPM with second-order HPM and VIM in Problem 11.

	Exact	LSHPM		HPM		VIM
	Solution	Solution	Error	Solution	Error	Error [32]
0	1	1	0	1	0	0
0.1	0.994654	0.994654		0.994654
0.2	0.977122	0.977122		0.977122
0.3	0.944901	0.944901		0.944901
0.4	0.895095	0.895095		0.895095
0.5	0.824361	0.824361		0.824361
0.6	0.728848	0.728848		0.728848
0.7	0.604126	0.604126		0.604126
0.8	0.445108	0.445108		0.445108
0.9	0.24596	0.24596		0.24596
1	0			0	0