Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 12

Comparison of zeroth-order absolute error of LSHPM with HPM in Problem 12.

	Exact	LSHPM		HPM
	Solution	Solution	Error	Solution	Error
0	1	1	0	1	0
0.1	1.10517	1.10517		1.10517
0.2	1.2214	1.2214		1.2214
0.3	1.34986	1.34986		1.34986
0.4	1.49182	1.49182		1.49183
0.5	1.64872	1.64872		1.64873
0.6	1.82212	1.82212		1.82214
0.7	2.01375	2.01375		2.0138
0.8	2.22554	2.22554		2.22561
0.9	2.4596	2.4596		2.45972
1	2.71828	2.71828	0	2.71847