Journal
MATHEMATICAL MODELLING AND ANALYSIS
Volume 15, Issue 4, Pages 491-504Publisher
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/1392-6292.2010.15.491-504
Keywords
Adomian decomposition method; homotopy perturbation method; squeezing flow
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The objective of this paper is to compare two methods employed for solving nonlinear problems, namely the Adomian Decomposition Method (ADM) and the Homotopy Perturbation Method (HPM). To this effect we solve the Navier-Stokes equations for the unsteady flow between two circular plates approaching each other symmetrically. The comparison between HPM and ADM is bench-marked against a numerical solution. The results show that the ADM is more reliable and efficient than HPM from a computational viewpoint. The ADM requires slightly more computational effort than the HPM, but it yields more accurate results than the HPM.
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