The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations

Authors:
Abdul-Majid Wazwaz
Affiliations:
Department of Mathematics, Saint Xavier University, 3700West 103rd Street, Chicago, IL 60655, United States
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this work, we introduce a framework for obtaining exact solutions to linear and nonlinear diffusion equations. Exact solutions are developed for some diffusion processes of power law diffusitivies. He's variational iteration method (VIM) is used for analytic treatment of these equations. The powerful VIM method is capable of handling both linear and nonlinear equations in a direct manner.