A comparison between the Sinc-Galerkin and the modified decomposition methods for solving two-point boundary-value problems

Authors:
Mohamed El-gamel
Affiliations:
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt
Venue:
Journal of Computational Physics
Year:
2007

Citing 7
Cited 1

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Abstract

One of the new techniques used in solving boundary-value problems involving ordinary differential equations is the Sinc-Galerkin method. This method has been shown to be a powerful numerical tool for finding fast and accurate solutions. A less known technique that has been around for almost two decades is the decomposition method. In this paper we solve boundary-value problems of higher order using these two methods and then compare the results. It is shown that the Sinc-Galerkin method in many instances gives better results.