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M. Inokuti, et al., General use of the Lagrange multiplier in non-linear mathematical physics, in: S, Nemat-Nasser (Ed.), Variational Method in the Mechanics of solids, pergamon Press, Oxford. 1978, pp. 156-162.

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Article

Application of VIM Method for Nonlinear Porous Media Equations

1Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran

2Department of Applied Mathematics, Shahid Beheshti University, Tehran, Iran


American Journal of Numerical Analysis. 2014, Vol. 2 No. 1, 11-13
DOI: 10.12691/ajna-2-1-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
E. Abdolmaleki, S.A. Yousefi. Application of VIM Method for Nonlinear Porous Media Equations. American Journal of Numerical Analysis. 2014; 2(1):11-13. doi: 10.12691/ajna-2-1-3.

Correspondence to: E.  Abdolmaleki, Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran. Email: saedalat@yahoo.com

Abstract

In this paper, we applied He’s variational iteration method (VIM) to solve nonlinear porous media equations. The main advantage of this method is the flexibility to give approximate solutions to nonlinear problems without linearization or discretization. The results show that this method is simple and effective.

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