Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 10

Comparison of zeroth-order absolute error of LSHPM with second-order HPM, VIM, and ADM in Problem 10.

	Exact	LSHPM		HPM		VIM	ADM
	Solution	Solution	Error	Solution	Error	Error [31]	Error [30]
0	1	1	0	1	0	0	0
0.1	1.10517	1.10516		1.10561
0.2	1.2214	1.22138		1.22225
0.3	1.34986	1.34983		1.35102
0.4	1.49182	1.49179		1.49319
0.5	1.64872	1.64868		1.65016
0.6	1.82212	1.82208		1.82349
0.7	2.01375	2.01372		2.01492
0.8	2.22554	2.22552		2.22639
0.9	2.4596	2.45959		2.46005
1	2.71828	2.71828	0	2.71828