Convergence of approximate solution of system of Fredholm integral equations

Abstract

In this paper numerical solution of system of linear Fredholm integral equations by means of the Sinc-collocation method is considered. This approximation reduces the system of integral equations to an explicit system of algebraic equations. The exponential convergence rate of the method O ( e − k N ) is proved. The method is applied to a few test examples with continuous kernels to illustrate the accuracy and the implementation of the method.