Sinc and the numerical solution of fifth-order boundary value problems

Abstract

Sinc methods are a family of self-contained methods of approximation, which have several advantages over classical methods of approximation in the case of the presence of end-point singularities. In this paper we present a fast and accurate numerical scheme for the fifth-order boundary value problems with two-point boundary conditions. The method is then tested on linear and nonlinear examples and a comparison with sixth-degree B-spline functions is made. It is shown that the Sinc-Galerkin method yields better results.