Numerical solution of the system of Volterra integral equations of the first kind

Subject Areas : International Journal of Industrial Mathematics

A.  Armand ¹ (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)
Z.  Gouyandeh ² (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)

Received: 2013-11-14 Accepted : 2013-11-14 Published : 2014-12-01

Keywords: Volterra integral equation of , Variational iteration method, Modified variational iteration,

Abstract :

This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an approximation for system of Volterra integral equations. Some examples are given to show the pertinent features of this methods.