## 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,
Comparison between Adomian’s method and He’s homotopy perturbation method
✍ Scribed by Turgut Öziş; Ahmet Yıldırım
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 216 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, it is revealed that modified form of He's homotopy perturbation method corresponds to Adomian's decomposition method for certain nonlinear problems.
📜 SIMILAR VOLUMES
In this work, an analytical technique, namely the homotopy analysis method (HAM), is applied to obtain an approximate analytical solution of the Fornberg-Whitham equation. A comparison is made between the HAM results and the Adomian's decomposition method (ADM) and the homotopy perturbation method (
He's homotopy perturbation method is applied for obtaining approximate analytical solutions of continuous population models for single and interacting species. In comparison with existing techniques, this method is very straightforward, and the solution procedure is very simple. Also, it is highly e