A numerical sinc method for systems of integro-differential equations

Abstract

In this paper, a sinc-collocation method is developed for solving linear systems of integro-differential equations of Fredholm and Volterra type with homogeneous boundary conditions. Some properties of the sinc procedure required for subsequent development are given and they are utilized to reduce the solution computation of systems of second-order boundary value integro-differential equations to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.