An Effective Approach for solving MHD Viscous Flow Due to A Shrinking Sheet
Applied Mathematics & Information Sciences • 2016
معلومات البحث
المؤلفون
Mourad S. Semary; Hany N. Hassan
الكلمات المفتاحية
Homotopy analysis method, Pade´ approximation, h¯-curves, MHD viscous flow, Nonlinear boundary value problems.
المجلة العلمية
Applied Mathematics & Information Sciences
الناشر
Not Available
المجلد
10
العدد
4
الصفحات
1425-1432
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
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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