Affiliations: Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran | Department of Mathematics, Islamic Azad University, Aliabad Katoul Branch, Aliabad Katoul, Iran | Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran
Note: [] Corresponding author. Mashaallah Matinfar, Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran. Tel.: +981125342496; Fax.: +981125342460; E-mail: [email protected]
Abstract: In this paper, we focus on linear fuzzy Volterra integro-differential equations and propose a new method, namely “variational iteration method (VIM)” for numerical solving them. Also, we provide the convergence of VIM when it is applied to system of linear Volterra integro-differential equations. Finally, using the proposed method, we give some illustrative examples and compare the solutions obtained by VIM with those obtained by homotopy perturbation method (HPM). The results reveal that the VIM is more powerful than the HPM.
Keywords: Fuzzy integro-differential equations, system of linear Volterra integro-differential equations, variational iteration method, homotopy perturbation method
