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Table 2 The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the Newton solutions of Eq. ( 4.1 ) for N=48

From: An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems

x

Newton Solution

Sinc-Galerkin

Relative Error

−0.79

−0.04367296498889709080

−0.04367277695575780

1.88033138931166478E − 7

−0.59

−0.03819740808174877660

−0.03819740640312920

1.67861962497104996E − 9

−0.39

−0.02633354081076150210

−0.02633360882474840

6.80139867594367620E − 8

−0.19

−0.01804242984461256610

−0.01804252401568270

9.41710703577436960E − 8

0.01

−0.01405035691404465420

−0.01405046008732300

1.03173278485183830E − 7

0.21

−0.01240001647814625340

−0.01240012227610340

1.05797957363189950E − 7

0.41

−0.01037407556626012560

−0.01037418276112410

1.07194863974841016E − 7

0.61

−0.00547925725715721866

−0.00547936685525044

1.09598093266566966E − 7