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Table 2 The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the exact solutions of Eq. ( 4.1 ) for N=100

From: The sinc-Galerkin method and its applications on singular Dirichlet-type boundary value problems

x

Exact solution

Sinc-Galerkin

Absolute error

0.2

0.000450466988174113

0.000450466929764516

5.8409597E − 11

0.4

0.000893654763766436

0.000893654689218907

7.4547529E − 11

0.6

0.001096474957106920

0.001096474871619300

8.5487620E − 11

0.8

0.000797109647979786

0.000797109574773798

7.3205988E − 11