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

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.