Numerical solution of a class of Integro-Differential equations by the Tau Method with an error estimation

摘要

The Tau Method, by construction, produces approximate polynomial solutions of differential equations. The purpose of this paper is to extend the Tau Method to the Integro-Differential equations. An efficient error estimation for the Tau method is also introduced. Details of this method are presented and some numerical results along with estimated errors are given to clarify the method and its error estimator.