Table 4 The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the Newton solutions of Eq. ( 4.3 ) for $\mathit{N}\mathbf{=}\mathbf{48}$

4.01

0.0000819807184737612502

0.0000855970440948756

3.616325621114482100E − 6

4.11

0.0103179812858067658000

0.0103251970537185000

7.215767911801503840E − 6

4.21

−0.0011116378549017658700

−0.0011221143338274400

1.047647892566533000E − 5

4.31

0.0030747524654397085400

0.0030712556170523700

3.496848387328578060E − 6

4.41

0.0010377464582858838400

0.0010372904397433000

4.560185426059223020E − 7

4.51

−0.0034415082789204937200

−0.0034511540521152400

9.645773194724025980E − 6

4.61

0.0018479414405554888800

0.0018722669507933500

2.432551023786393470E − 5

4.71

−0.0072577349999568422200

−0.0072485697536300800

9.165246326795330540E − 6

4.81

0.0010544514520660040800

0.0010554094005589100

9.579484929011514780E − 7

4.91

−0.0092573478518260567200

−0.0092581760507376400

8.281989115607653900E − 7