A Taylor polynomial approach for solving the most general linear Fredholm integro-differential-difference equations

Abstract

In this study, a matrix method is developed to solve approximately the most general higher order linear Fredholm integro-differential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. This technique reduces the problem into the linear algebraic system. The method is valid for any combination of differential, difference and integral equations. An initial value problem and a boundary value problem are also presented to illustrate the accuracy and efficiency of the method. Copyright © 2012 John Wiley & Sons, Ltd.