On the Galerkin and collocation methods for two-point boundary value problems using sinc bases

Authors:
Adel Mohsen;Mohamed El-Gamel
Affiliations:
Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Egypt;Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

This paper presents a study of the performance of the collocation and Galerkin methods using sinc basis functions for solving linear and nonlinear second-order two-point boundary value problems. The two methods have the linear systems solved by the Q-R method and have the nonlinear systems solved by Newton's method. This study shows that the collocation method performs better than the Galerkin method for the cases considered.