Z. Naturforsch. 68a, 412 – 420
On the Analytic Solution for a Steady Magnetohydrodynamic Equation
1 Young Researchers Club and Elites, Ardabil Branch, Islamic Azad University, Ardabil, Iran
2 Young Researchers Club and Elites, Buinzahra Branch, Islamic Azad University, Buinzahra, Iran
3 Ege University, Science Faculty, Department of Mathematics, 35100 Bornova Izmir, Turkey
4 Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran
Received August 17, 2012 / revised December 26, 2012 / published online May 1, 2013
The purpose of this study is to apply the Laplace–Adomian Decomposition Method (LADM) for obtaining the analytical and numerical solutions of a nonlinear differential equation that describes a magnetohydrodynamic (MHD) flow near the forward stagnation point of two-dimensional and axisymmetric bodies. By using this method, the similarity solutions of the problem are obtained for some typical values of the model parameters. For getting computational solutions, we combined the obtained series solutions by LADM with the Padé approximation. The method is easy to apply and gives high accurate results. The presented results through tables and figures show the efficiency and accuracy of the proposed technique.
Key words: Laplace Transformation; Adomian Decomposition Method; Padé Approximation; Navier–Stokes Equations; Semi-Infinite Interval; MHD Flow.
PACS numbers: 02.30.Hq; 02.30.Mv; 02.60.Lj; 47.15.Cb