International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Optimal homotopy asymptotic method solution to convection heat transfer flow

S. Islam1, Fazal E Mabood2, Gul Zaman3, Xue-Zhi Li4 and Il Hyo Jung5*        
1Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan.  2Department of Mathematics, Edwardes College Peshawar, Pakistan. 3Department of Mathematics, University of Malakand, Chakdara, Pakistan. 4Department of Mathematics, Xinyang Normal University, Xinyang 464000, P. R. China. 5Department of Mathematics, Pusan National University, Busan 609-735, South Korea.
Email: [email protected]

  •  Accepted: 24 August 2011
  •  Published: 09 October 2011

Abstract

In this paper, we apply optimal homotopy asymptotic method (OHAM) to compute an approximation to solve the problem of forced convection over a horizontal flat plate. We investigate in this work, that OHAM, being independent of free parameter, provides greater accuracy and yields a good agreement. Moreover, its convergence domain can be easily adjusted and controlled, which shows that OHAM is more effective and easy than the other approximate method.

 

Key words: Convection heat transfer, optimal homotopy asymptotic method (OHAM), nonlinear equation, convergence constant h.

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