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publication name An Effective Approach for solving MHD Viscous Flow Due to A Shrinking Sheet
Authors Mourad S. Semary; Hany N. Hassan
year 2016
keywords Homotopy analysis method, Pade´ approximation, h¯-curves, MHD viscous flow, Nonlinear boundary value problems.
journal Applied Mathematics & Information Sciences
volume 10
issue 4
pages 1425-1432
publisher Not Available
Local/International International
Paper Link Not Available
Full paper download
Supplementary materials Not Available
Abstract

In this paper, we present an effective technique combined between homotopy analysis method and traditional Pade´ approximation so-called (HAM Pade´), the technique to obtain the analytic approximation solution of a certain type of nonlinear boundary value problem with one boundary condition at infinity. The analytic series solution obtained from the homotopy analysis method and the Pade´ diagonal approximation to handle the boundary condition at infinity. This technique apply to the boundary value problem resulting from the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet. The proposed technique success to obtain the two branches of solutions for important parameter. Comparison of the present solution is made with the existing solution and excellent agreement is noted.

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