Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 9

Comparison of first-order absolute error of LSHPM with second-order HPM, HPLM, and ADM in Problem 9.

	Exact	LSHPM		HPM		HPLM	ADM
	Solution	Solution	Error	Solution	Error	Error [14]	Error [30]
0	1	1	0	1	0	0	0
0.1	0.994654	0.994654		0.994658
0.2	0.977122	0.977122		0.97713
0.3	0.944901	0.944901		0.944912
0.4	0.895095	0.895095		0.895107
0.5	0.824361	0.824361		0.824374
0.6	0.728848	0.728848		0.72886
0.7	0.604126	0.604126		0.604136
0.8	0.445108	0.445108		0.445116
0.9	0.24596	0.24596		0.245964
1	0						0