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

2006; Elsevier BV; Volume: 223; Issue: 1 Linguagem: Inglês

10.1016/j.jcp.2006.09.025

1090-2716

Mohamed El‐Gamel,

Differential Equations and Numerical Methods

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.