Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients

Abstract

In this study, a practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions in terms of Taylor polynomials. The method converts the integro-differential equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative examples are included to demonstrate the validity and applicability of the technique. (c) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.