Application of the Homotopy Perturbation Method for Solving the Foam Drainage Equation | Zendy

Abdolhosein Fereidoon | Zendy; Hessameddin Yaghoobi | Zendy; Mohammadreza Davoudabadi | Zendy

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Application of the Homotopy Perturbation Method for Solving the Foam Drainage Equation

Author(s) -

Abdolhosein Fereidoon,

Hessameddin Yaghoobi,

Mohammadreza Davoudabadi

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/864023

Subject(s) - adomian decomposition method , homotopy analysis method , mathematics , homotopy perturbation method , homotopy , perturbation (astronomy) , drainage , mathematical analysis , partial differential equation , physics , pure mathematics , ecology , quantum mechanics , biology

We use homotopy perturbation method (HPM) to handle the foam drainage equation. Foaming occurs in many distillation and absorption processes. The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. The concept of He's homotopy perturbation method is introduced briefly for applying this method for problem solving. The results of HPM as an analytical solution are then compared with those derived from Adomian's decomposition method (ADM) and the variational iteration method (VIM). The results reveal that the HPM is very effective and convenient in predicting the solution of such problems, and it is predicted that HPM can find a wide application in new engineering problems

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