Structure variable homotopy methods for solving nonlinear systems
β Scribed by Zhang Li-qing; Han Guo-qiang
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 704 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
In this paper, we adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.
This paper applies the homotopy analysis method (HAM) to systems of ordinary differential equations (ODEs). The systems investigated include stiff systems, the chaotic Genesio system and the matrix Riccati-type differential equation. The HAM gives approximate analytical solutions which are of compar
## 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,