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Zbl 1193.65179
Abidi, Fayçal; Omrani, Khaled
The homotopy analysis method for solving the fornberg-whitham equation and comparison with Adomian's decomposition method. (English)
[J] Comput. Math. Appl. 59, No. 8, 2743-2750 (2010). ISSN 0898-1221

Summary: 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 (HPM). The results reveal that HAM is very simple and effective. The HAM contains the auxiliary parameter $\hbar$, which provides us with a simple way to adjust and control the convergence region of solution series.

MSC 2000:: *65M99 Numerical methods for IVP of PDE

Keywords: homotopy analysis method; Adomian decomposition method; homotopy perturbation method; fornberg-whitham equation

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Zentralblatt MATH Berlin [Germany]