Numerical solution of linear fuzzy Volterra integro-differential equations by variational iteration method

Authors:
Mashaallah Matinfar;Mojtaba Ghanbari;Rahele Nuraei
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
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
Year:
2013

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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.