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Numerical method for non‐linear wave and diffusion equations by the variational iteration method
Authors:S. Abbasbandy
Affiliation:1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran;2. Department of Mathematics, Imam Khomeini International University, Ghazvin 34149‐16818, Iran
Abstract:This paper applies He's variational iteration to the wave equations in an infinite one‐dimensional medium and some non‐linear diffusion equations. A suitable choice of an initial solution can lead to the needed exact solution by a few iterations. Copyright © 2007 John Wiley & Sons, Ltd.
Keywords:variational iteration method  wave equation in an infinite domain  non‐linear diffusion equations
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