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
Application of He’s homotopy perturbation method for solving the Cauchy reaction–diffusion problem
✍ Scribed by Ahmet Yıldırım
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 378 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 perturbation method to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution.
📜 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.
## Abstract In this paper, we will discuss the solution of an initial value problem of parabolic type. The main objective is to propose an alternative method of solution, one not based on finite difference or finite element or spectral methods. The aim of the present paper is to investigate the app