Some Relatively New Techniques for Nonlinear Problems

Table 2

Error estimates.

X	Y	Exact solution	HPM	ADM	VIMHP	Absolute error
−1	−1	−1.9109600760	−1.9097472990	−1.9097472990	−1.9097472990	0.0012127770
−0.8	−0.8	−1.4294111280	−1.491500900	−1.491500900	−1.491500900	0.0002610380
−0.6	−0.6	−1.0405661130	−1.0405303310	−1.0405303310	−1.0405303310	0.0000357820
−0.4	−0.4	−.7005569670	−0.7005548150	−0.7005548150	−0.7005548150	0.0000021520
−0.2	−0.2	−.367755010	−0.3677594840	−0.3677594840	−0.3677594840	0.0000000170
0.0	−0.0	0.0000000000	0.0000000000	0.0000000000	0.0000000000	0.0000000000
0.2	0.2	0.4482939020	0.4482938840	0.4482938840	0.4482938840	0.0000000180
0.4	0.4	1.0291588280	1.0291564150	1.0291564150	1.0291564150	0.0000024130
0.6	0.6	1.8045504110	1.8045079310	1.8045079310	1.8045079310	0.0000424800
0.8	0.8	2.850380700	2.8500524900	2.8500524900	2.8500524900	0.0003282100
1.0	1.0	4.2613624630	4.2597472990	4.2597472990	4.2597472990	0.0016151640