A comparison of variational iteration and adomian decomposition methods in solving nonlinear thin film flow problems

A. M. Siddiqui, A. A. Farooq, T. Haroon, B. S. Babcock

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

This paper provides a comparative study of the Variational Iteration Method (VIM) and the Adomian Decomposition Method (ADM) to obtain analytic approximations of a nonlinear problem that arises in the thin film flow of a third grade fluid on a moving belt. An excellent agreement is observed between the series solutions for the velocity field obtained by these two methods. This comparison is bench-marked against a numerical solution. Furthermore, the VIM has an advantage over ADM that it solves the nonlinear problems without using the Adomian polynomials.

Original languageEnglish (US)
Pages (from-to)4911-4919
Number of pages9
JournalApplied Mathematical Sciences
Volume6
Issue number97-100
StatePublished - Oct 16 2012

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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