An Effective Approach for solving MHD Viscous Flow Due to A Shrinking Sheet
Applied Mathematics & Information Sciences • 2016
Publication Information
Authors
Mourad S. Semary; Hany N. Hassan
Keywords
Homotopy analysis method, Pade´ approximation, h¯-curves, MHD viscous flow, Nonlinear boundary value problems.
Journal
Applied Mathematics & Information Sciences
Publisher
Not Available
Volume
10
Issue
4
Pages
1425-1432
publication.type
International
Paper Link
Not Available
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.
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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