Convergence analysis of the sinc collocation method for integrodifferential equations system

In this paper, a numerical solution for a system of linear Fredholm integrodifferential equations by means of the sinc method is considered. This approximation reduces the system of integrodifferential equations to an explicit system of algebraic equations. The exponential convergence rate O(e^−k√N) of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.