A New Taylor Collocation Method for Nonlinear Fredholm-Volterra Integro-Differential Equations

Abstract

The aim of this article is to present an efficient numerical procedure for solving nonlinear integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given conditions into the matrix equation which corresponds to a system of nonlinear algebraic equations with unkown Taylor coefficients. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer program written in Maple10. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1006-1020,2010