In this paper, the solution of Cauchy reaction-diffusion problem is presented by means of the homotopy perturbation method. Reaction-diffusion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. Application of homotopy perturb
Application of He's variational iteration method for solving the Cauchy reaction–diffusion problem
✍ Scribed by Mehdi Dehghan; Fatemeh Shakeri
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 665 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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 technique to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution. Moreover, this technique does not require any discretization, linearization or small perturbations and therefore it reduces significantly the numerical computations.
📜 SIMILAR VOLUMES
He's variational iteration method is applied to the search for the solution of the reaction-diffusion problem with ecological parameters. The method is extremely simple and concise, and comparison with the Adomian method reveals that the present method is an attracting mathematical tool.
variational iteration method System of partial differential equations System of integral equations a b s t r a c t In recent years a lot of attention from researchers has been attracted to the various aspects of the well known He's variational iteration method. This method is a very powerful method