Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients

Abstract

© 2018 by the Mathematical Association of Thailand. All rights reserved. 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.