A Collocation Approach for the Numerical Solution of Certain Linear Retarded and Advanced Integrodifferential Equations with Linear Functional Arguments

Abstract

This article presents a Taylor collocation method for the approximate solution of high-order linear Volterra-Fredholm integrodifferential equations with linear functional arguments. This method is essentially based on the truncated Taylor series and its matrix representations with collocation points. Some numerical examples, which consist of initial and boundary conditions, are given to show the properties of the technique. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 447-459, 2011