Convergence of approximate solution of system of Fredholm integral equations

In this paper numerical solution of system of linear Fredholm integral equations by means of the Sinccollocation 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. © 2006 Elsevier Inc. All rights reserved