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

✍ Scribed by Abdul-Majid Wazwaz

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
181 KB
Volume
54
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Comparison between the homotopy perturba
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
✍ Shaher Momani; Zaid Odibat πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 230 KB

In this article, the homotopy perturbation method proposed by J.-H. He is adopted for solving linear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Comparison of the results obtained by the homotopy perturbation method with those obtained by