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Z. Naturforsch. 69a, 263 – 272
(2014)
doi:10.5560/ZNA.2014-0019
A Comparative Study Between two Explicit and Minimal Strategies for the Case of Magnetohydrodynamical Falkner–Skan Flow over a Permeable Wall
1 Department of Mathematics, Malek Ashtar University of Technology, Shahin Shahr, Isfahan, 83145-115, Iran
2 Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran
3 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Received November 11, 2013 / revised March 17, 2014 / published online May 21, 2014
Reprint requests to: H. R. G.; E-mail:
hadiroohani61@gmail.com
In this paper, two efficient and powerful explicit and minimal approaches based on the Hankel–Padé method and Laplace Adomian decomposition method coupled with Padé approximation, respectively, are discussed and employed to obtain approximate results of similarity solutions for the magnetohydrodynamical (MHD) Falkner–Skan boundary layer flow over a permeable wall. The values of skin friction coefficients of the problem are computed with high accuracy. The presented results through tables and figures show the efficiency, reliability, and accuracy of the two presented approaches. Finally, the effects of various model parameters on the boundary layer flow are investigated graphically.
Key words: Laplace Adomian Decomposition Method; Padé Approximation; MHD Boundary Layer Flow; Falkner–Skan Equation; Hankel–Padé Method.