Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 1

Comparison of third-order absolute error of LSHPM with HPM in Problem 1.

	Exact	LSHPM		HPM
	Solution	Solution	Error	Solution	Error
0	1	1.	0	1	0
0.1	1.55223	1.55223		1.56034
0.2	1.99031	1.99031		2.00428
0.3	2.33095	2.33095		2.34683
0.4	2.58873	2.58873		2.60253
0.5	2.77635	2.77635		2.7852
0.6	2.90481	2.90481		2.90766
0.7	2.98368	2.98368		2.98144
0.8	3.02123	3.02123		3.01646
0.9	3.02462	3.02462		3.02073
1	3	3	0	3	0