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

Boundary Value Problems

Table 4 The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the exact solutions of Eq. ( 4.3 ) for $N = 100$

x	Exact solution	Sinc-Galerkin	Absolute error
−0.8	−0.768735600700030	−0.768735573640717	2.7059313E − 8
−0.6	−1.494977232326020	−1.494977256431750	2.4105730E − 8
−0.4	−2.178172723246240	−2.178172789883010	6.6636770E − 8
−0.2	−2.817647649506660	−2.817647724013040	7.4506380E − 8
0.0	−3.412578267829700	−3.412578329155590	6.1325890E − 8
0.2	−3.961958455904090	−3.961958531301040	7.5396950E − 8
0.4	−4.464559333163800	−4.464559424139430	9.0975630E − 8
0.6	−4.918879941496040	−4.918880051407700	1.0991166E − 7
0.8	−5.323087006521950	−5.323087129044260	1.2252231E − 7
1.0	−5.674941361858750	−5.674941494327020	1.3246827E − 7
1.2	−5.971708083510550	−5.971708201060930	1.1755038E − 7
1.4	−6.210046727765300	−6.210046817516560	8.9751260E − 8
1.6	−6.385877267459800	−6.385877325019590	5.7559790E − 8
1.8	−6.494216346163350	−6.494216361246050	1.5082700E − 8
2.0	−6.528977278586750	−6.528977261410670	1.7176080E − 8