An efficient matrix method for solving system of linear Fredholm integro-differential equations

This paper suggests a novel and efficient method for system of linear Fredholm integrodifferential equations (FIDEs). This method transforms the system of linear FIDEs into a matrix equation. A small number of polynomials are needed to receive a satisfactory result. Some preliminaries and notations are proposed for convergence analysis and error estimation. The method is computationally attractive and some numerical examples are provided to illuminate the high accuracy of the proposed method