On the solution a of second order singularly-perturbed boundary value problem by the Sinc-Galerkin method |
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Authors: | Mohamed El-Gamel John R. Cannon |
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Affiliation: | (1) Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt;(2) Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA |
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Abstract: | Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the Sinc-Galerkin method for solving second order singularly perturbed boundary value problems. The method is then tested on linear and nonlinear examples and a comparison with spline method and finite element scheme is made. It is shown that the Sinc-Galerkin method yields better results.Received: January 3, 2003; revised: July 14, 2003 |
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Keywords: | Primary: 65N30 Secondary: 35K05 |
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