A new collocation method for solution of mixed linear Integro-differential difference equations

Abstract

The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-differenceequations. Our method depends mainly on a Taylor expansion approach. This method transforms mixed linear integro-differentialdifference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. Thereliability and effiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computerprogram in Maple10