Benha University

هانى نصر حسن محمد

أستاذ مساعد

كلية الهندسة ببنها العلوم الأساسية

The combined homotopy analysis method and Laplace transform for solution MHD viscous flow due to a shrinking sheet

International Journal of Applied Mathematics and Mechanics • 2013
العودة
معلومات البحث
المؤلفون Mourad S. Semary; Hany N. Hassan; K. El Naggar
الكلمات المفتاحية Homotopy analysis method, Laplace transform, Padé approximation, MHD viscous flow, Nonlinear boundary value problems.
المجلة العلمية International Journal of Applied Mathematics and Mechanics
الناشر Not Available
المجلد 9
العدد 18
الصفحات 53-63
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
In this paper, we present technique combined between Homotopy analysis method and the
Laplace transform to obtain the series solution of a certain type of third order nonlinear
boundary value problem with one boundary condition at infinity. The obtained analytic series
solution from this technique is combined with the Padé approximation techniques to handle
the boundary condition at infinity. We this technique applied to the boundary value problem
resulting from the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet, this
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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