Hany Nasr Hassan Mohammed
Asst. Professor
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
Publication Information
Authors
Mourad S. Semary; Hany N. Hassan; K. El Naggar
Keywords
Homotopy analysis method, Laplace transform, Padé approximation, MHD
viscous flow, Nonlinear boundary value problems.
Journal
International Journal of Applied Mathematics and Mechanics
Publisher
Not Available
Volume
9
Issue
18
Pages
53-63
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
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.