Table 3
The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the exact solutions of Eq. (4.2) forN=100
x	Exact solution	Sinc-Galerkin	Absolute error
0.2	0.00314134396980435	0.00314134378138869	1.88415721000000E − 10
0.4	0.01128904694197050	0.01128904622846880	7.13501861405898E − 10
0.6	0.02049668664764170	0.02049668582683820	8.20803253396388E − 10
0.8	0.02205723725961330	0.02205723670616530	5.53448662985227E − 10

Secer and Kurulay Boundary Value Problems 2012 2012:126   doi:10.1186/1687-2770-2012-126