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Solution of the Falkner-Skan wedge flow by a revised optimal homotopy asymptotic method

Madaki AG 1 , Abdulhameed M 2 , Ali M 1 , Roslan R 1

Affiliations 

  • 1 Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, 86400 Batu Pahat, Johor Malaysia
  • 2 Department of Mathematics, School of Science and Technology, Federal Polytechnic Bauchi, P.M.B. 0231, Off Dass Road, Bauchi, Nigeria
Springerplus, 2016;5:513.
PMID: 27186477 DOI: 10.1186/s40064-016-2147-z

Abstract

In this paper, a revised optimal homotopy asymptotic method (OHAM) is applied to derive an explicit analytical solution of the Falkner-Skan wedge flow problem. The comparisons between the present study with the numerical solutions using (fourth order Runge-Kutta) scheme and with analytical solution using HPM-Padé of order [4/4] and order [13/13] show that the revised form of OHAM is an extremely effective analytical technique.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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