Table 4

The numerical results for the approximate solutions obtained by sinc-Galerkin in comparison with the exact solutions of Eq. (4.3) for<a onClick="popup('http://www.boundaryvalueproblems.com/content/2012/1/126/mathml/M121','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2012/1/126/mathml/M121">View MathML</a>
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

Secer and Kurulay

Secer and Kurulay Boundary Value Problems 2012 2012:126   doi:10.1186/1687-2770-2012-126

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