Euler-Taylor Matrix Method for Solving Linear Volterra-Fredholm Integro-Differential Equations with Variable Coefficients

Teeranush Suebcharoen

Abstract

In this paper, we present a numerical method for solving   the high-order linear Volterra-Fredholm integro - differential  equations with constant arguments and  variable coefficients.The proposed method  is based on the Euler polynomials and collocation points which  transforms  the integro - differential equation into a  matrix equation.The matrix equation corresponds to a system of  algebraic equations for which  the unknown are Euler coefficients.Some examples are provided to illustrate the validity of the method.