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Z. Naturforsch. 67a, 248 – 254
(2012)
doi:10.5560/ZNA.2012-0010
Analytical Solutions of the Slip Magnetohydrodynamic Viscous Flow over a Stretching Sheet by Using the Laplace–Adomian Decomposition Method
1 Young Researchers Club, Buin Zahra Branch, Islamic Azad University, Buin Zahra, Iran
2 Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran
3 Young Researchers Club, Sarab Branch, Islamic Azad University, Sarab Iran
Received November 3, 2011 / revised December 26, 2011 / published online May 2, 2012
Reprint requests to: H. R. G.; E-mail:
hadiroohani61@gmail.com
In this research, the Laplace–Adomian decomposition method (LADM) is applied for the analytical and numerical treatment of the nonlinear differential equation that describes a magnetohydrodynamic (MHD) flow under slip condition over a permeable stretching surface. The technique is well applied to approximate the similarity solutions of the problem for some typical values of model parameters. The obtained series solutions by the LADM are combined with the Padé approximation to improve the accuracy and enlarge the convergence domain of the obtained results. Through tables and figures, the efficiency of the presented method is illustrated.
Key words: Laplace Adomian Decomposition Method; Padé Approximation; Navier–Stokes Equations; Semi-Infinite Interval; Magnetohydrodynamic Flow.