Improvement of the homotopy perturbation method for solving nonlinear diffusion equations
β Scribed by Jafari, M A; Aminataei, A
- Book ID
- 120940769
- Publisher
- Royal Swedish Academy of Sciences
- Year
- 2010
- Tongue
- English
- Weight
- 137 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0031-8949
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π SIMILAR VOLUMES
## Exact solution a b s t r a c t In this paper, we present an efficient numerical algorithm to find exact solutions for the system of linear equations based on homotopy perturbation method (HPM). A reliable modification is proposed, and the modified method is employed to solve the system of linea
## a b s t r a c t The Adomian's decomposition method and the homotopy perturbation method are two powerful methods which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. By theoretical analysis of the two methods, we show,
diffusion equations Approximate analytical solution Exact solutions a b s t r a c t In this paper, the homotopy perturbation method and a modified homotopy perturbation method are used for analytical treatment of the wave equation and some nonlinear diffusion equations, respectively. Some examples