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Sinc-Galerkin method for solving linear sixth-order boundary-value problems
Author(s):
Mohamed
El-Gamel;
John
R.
Cannon;
Ahmed
I.
Zayed.
Journal:
Math. Comp.
73
(2004),
1325-1343.
MSC (2000):
Primary 65L60;
Secondary 65L10
Posted:
July 28, 2003
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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
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
DOI:
10.1090/S0025-5718-03-01587-4
PII:
S 0025-5718(03)01587-4
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
Posted:
July 28, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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