In this paper, He's variational iteration method is applied to obtain exact solutions of some nonlinear diffusion equations. The variational iteration method is used to construct correction functionals using general Lagrange multipliers identified optimally via the variational theory, and the initia
Variational Iteration Method for a Nonlinear Reaction-Diffusion Process
β Scribed by Wang, Shu-Qiang; He, Ji-Huan
- Book ID
- 120987548
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 2008
- Tongue
- English
- Weight
- 332 KB
- Volume
- 6
- Category
- Article
- ISSN
- 2194-5748
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π SIMILAR VOLUMES
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 powe
In this paper, the solution of Cauchy reaction-diffusion problem is presented by means of variational iteration method. Reactiondiffusion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. Application of variational iteration
In this paper, He's variational iteration method (VIM) is applied to nonlinear oscillators with discontinuities. We illustrate that the VIM is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in VIM, only one iteration lead