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Zbl 1120.76051
Helal, M.A.; Mehanna, M.S.
The tanh method and Adomian decomposition method for solving the foam drainage equation. (English)
[J] Appl. Math. Comput. 190, No. 1, 599-609 (2007). ISSN 0096-3003

Summary: Foaming occurs in many distillation and absorption processes. The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. In this paper, we use a semi-analytic method, the Adomian decomposition method, and an analytic method, the tanh method to handle the foam drainage equation. The powerful tanh method gives the solution in a closed form. However, Adomian decomposition method computes the solution in a rapidly convergent infinite series. The comparison between the two approaches is conducted to illustrate the performance of each method.

MSC 2000:: *76M25 Other numerical methods
76S05 Flows in porous media
76D45 Capillarity

Keywords: closed-form solution; surface tension; convergent infinite series

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Zentralblatt MATH Berlin [Germany]