Non-Perturbative Solution for Hydromagnetic Flow Over a Linearly Stretching Sheet
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Institute for Advance Research in Mathematical Modelling and Computations Cape Peninsula University of Technology P. O. Box 1906, Bellville 7535, SOUTH AFRICA
Department of Mathematics, Government First Grade College for Women Hassan, Karnataka state – 573 201, INDIA
Department of Mathematics Rani Channamma University Belagavi- 591 156, Karnataka state – 571 105, INDIA
Online publication date: 2013-09-06
Publication date: 2013-08-01
International Journal of Applied Mechanics and Engineering 2013;18(3):935-943
In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field. A closed form power series solution based on Adomian polynomials is obtained for the similarity nonlinear ordinary differential equation modelling the problem. In order to satisfy the farfield condition, the Adomian power series is converted to diagonal Padé approximants and evaluated. The results obtained using ADM-Padé are remarkably accurate compared with the numerical results. The proposed technique can be easily employed to solve a wide range of nonlinear boundary value problems
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