A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS

  1. Faculty of science, Minoodasht Branch, Islamic Azad University, Iran Iran, Islamic Republic of Department of Mathematics

Revised: 13-04-2016

Accepted: 13-04-2016

Published in Issue 21-03-2011

How to Cite

Mirzaei, S. M. (2011). A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS. International Journal of Mathematical Modelling & Computations, 1(2), 117-123. https://oiccpress.com/ijm2c/article/view/11041

Abstract

In this paper, we will compare a Homotopy perturbation algorithm and Taylor series expansin method for a system of second kind Fredholm integral equations. An application of He’s homotopy perturbation method is applied to solve the system of Fredholm integral equations. Taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.