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On comparison of exact and series solutions for thin film flow of a third‐grade fluid
Authors:S. Abbasbandy  T. Hayat  F. M. Mahomed  R. Ellahi
Affiliation:1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran;2. Department of Mathematics, Quaid‐i‐Azam University, Islamabad 44000, Pakistan;3. School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa;4. Department of Mathematics, Faculty of Applied Sciences, IIU, Islamabad, Pakistan
Abstract:The present investigation derives the exact and series solutions for steady thin film flow of a third‐grade fluid. The series solution is constructed by a homotopy analysis method. The obtained solutions are compared and an excellent agreement between these is achieved. Copyright © 2009 John Wiley & Sons, Ltd.
Keywords:thin film flow  third‐grade fluid  analytic solution  homotopy analysis method (HAM)  serious solution  exact solution
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