The numerical solution of integro-differential equation by means of the Sinc method

摘要

We develop a numerical procedure for solving a class of linear integro-differential equation of Fredholm type, using the globally defined Sinc basis functions. Properties of the Sinc procedure are utilized to reduce the computation of the linear integro-differential equation to some algebraic equations. We used three numerical examples to illustrate the accuracy and to show the implementation of our method.