On the Adomian (decomposition) method and comparisons with Picard's method
✍ Scribed by R. Rach
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 194 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0022-247X
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📜 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 (
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.
## 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,