Solution of High-Order Linear Fredholm Integro-Differential Equations with Piecewise Intervals

Abstract

In this study, a practical matrix method is presented to find an approximate solution for high-order linear Fredholm integro-differential equations with piecewise intervals 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) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1327-1339, 2011