هانى نصر حسن محمد
أستاذ مساعد
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
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.
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.
