Application of the homotopy perturbation method for solving the foam drainage equation
type: Item
instance of: scholarly article
title: Application of the homotopy perturbation method for solving the foam drainage equation
zbMATH Open document ID: 1235.35014
DOI: 10.1155/2011/864023
author: Abdolhosein Fereidoon
author: Hessameddin Yaghoobi
author: Mohammadreza Davoudabadi
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: We use the 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.
Mathematics Subject Classification ID: 35A25
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6013228
zbMATH Keywords: He's homotopy perturbation method
zbMATH Keywords: Adomian's decomposition method
zbMATH Keywords: variational iteration method
MaRDI profile type: Publication
Wikidata QID: Q58686855
full work available at URL: https://doi.org/10.1155/2011/864023
OpenAlex ID: W2147971927
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description: scientific article; zbMATH DE number 6013228