Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 5

Comparison of first-order absolute error of LSHPM with HPM and VIM in Problem 5.

	Exact	LSHPM		HPM		VIM [25]
	Solution	Solution	Error	Solution	Error	Error
0	1	1	0	1	0	0
0.1	0.994654	0.994654	0	0.99462
0.2	0.977122	0.977122	0	0.977
0.3	0.944901	0.944901	0	0.944672
0.4	0.895095	0.895095	0	0.894777
0.5	0.824361	0.824361	0	0.824006
0.6	0.728848	0.728848	0	0.728521
0.7	0.604126	0.604126	0	0.603883
0.8	0.445108	0.445108	0	0.444976
0.9	0.24596	0.24596	0	0.245923
1	0	0	0