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Sinc-Galerkin method for solving linear sixth-order boundary-value problems

Authors: Mohamed El-Gamel, John R. Cannon and Ahmed I. Zayed
Journal: Math. Comp. 73 (2004), 1325-1343
MSC (2000): Primary 65L60; Secondary 65L10
Published electronically: July 28, 2003
MathSciNet review: 2047089
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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.

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Additional Information

Mohamed El-Gamel
Affiliation: Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt

John R. Cannon
Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816

Ahmed I. Zayed
Affiliation: Department of Mathematical Sciences, DePaul University, Chicago, Illinois 60614

Keywords: Sinc functions, Sinc-Galerkin method, sixth-order differential equations, numerical solutions
Received by editor(s): June 27, 2002
Received by editor(s) in revised form: December 10, 2002
Published electronically: July 28, 2003
Article copyright: © Copyright 2003 American Mathematical Society