Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2000): 65L60, 65L10

Retrieve articles in all journals with MSC (2000): 65L60, 65L10


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: http://dx.doi.org/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
Published electronically: July 28, 2003
Article copyright: © Copyright 2003 American Mathematical Society



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia