A COMPARISON OF THE VARIATIONAL ITERATION METHOD AND ADOMIAN DECOMPOSITION METHODS IN SOLVING THE PROBLEM OF SQUEEZING FLOW BETWEEN TWO CIRCULAR DISKS
Abstract
The aim of this work is to compare two methods adopted in solving nonlinear problems, namely the Variational Iteration Method (VIM) and the Adomian Decomposition Method (ADM). The Navier-Stokes equation for the Unsteady flow between the two circular disks approaching each other symmetrically was solved. The comparison between VIM and ADM is bench-marked against a numerical solution. The results show that the VIM is more reliable and efficient than ADM from a computational viewpoint. The ADM requires slightly more computational effort than the VIM, but the VIM yields more accurate results than the ADM.
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