Sinc-Galerkin method for solving linear sixth-order boundary-value problems
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- by Mohamed El-Gamel, John R. Cannon and Ahmed I. Zayed PDF
- Math. Comp. 73 (2004), 1325-1343 Request permission
Abstract:
There are few techniques available to numerically solve sixth-order boundary-value problems with two-point boundary conditions. In this paper we show that the Sinc-Galerkin method is a very effective tool in numerically solving such problems. The method is then tested on examples with homogeneous and nonhomogeneous boundary conditions and a comparison with the modified decomposition method is made. It is shown that the Sinc-Galerkin method yields better results.References
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Additional Information
- Mohamed El-Gamel
- Affiliation: Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
- Email: gamel_eg@yahoo.com
- John R. Cannon
- Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
- Email: jcannon@pegasus.cc.ucf.edu
- Ahmed I. Zayed
- Affiliation: Department of Mathematical Sciences, DePaul University, Chicago, Illinois 60614
- Email: azayed@math.depaul.edu
- Received by editor(s): June 27, 2002
- Received by editor(s) in revised form: December 10, 2002
- Published electronically: July 28, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 1325-1343
- MSC (2000): Primary 65L60; Secondary 65L10
- DOI: https://doi.org/10.1090/S0025-5718-03-01587-4
- MathSciNet review: 2047089