Table 3 The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the exact solutions of Eq. ( 4.2 ) for $\mathit{N}\mathbf{=}\mathbf{32}$

−0.79

−0.0279198537590887030

−0.0279190996665941

7.54092494600466520E − 7

−0.59

−0.0611657628394463374

−0.0611664872171184

7.24377672134392476E − 7

−0.39

−0.0973239208356010965

−0.0973261954947172

2.27465911560142520E − 6

−0.19

−0.1238852239083363670

−0.1238891553354690

3.93142713083890409E − 6

0.01

−0.1237120026631739060

−0.1237176238268980

5.62116372328485409E − 6

0.21

−0.0847168119395961262

−0.0847241308368652

7.31889726906482055E − 6

0.41

−0.0126466852046787422

−0.0126555978765954

8.91267191663590533E − 6

0.61

0.0601106492319938846

0.0601002769211166

1.03723108773924407E − 5