Convergence of approximate solution of system of Fredholm integral equations

AbstractIn 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−kN) is proved. The method is applied to a few test examples with continuous kernels to illustrate the accuracy and the implementation of the method