Spectral Adomian Decomposition Method for the MHD Three-Dimensional Flow due to a Stretching Sheet in a Porous Medium
Yassir Daoud
Faculty of Technology of Mathematical Sciences and Statistics, Alneelain University, Algamhoria Street, P.O. Box 12702, Khartoum - Sudan.
Mohammed Abdalbagi
Faculty of Technology of Mathematical Sciences and Statistics, Alneelain University, Algamhoria Street, P.O. Box 12702, Khartoum - Sudan. and Mathematics Program, Science and Technology Department, Ranyah University College, Taif University, Kingdom of Saudi Arabia.
Ahmed A. Khidir *
Department of Mathematics, Faculty of Sciences, University of Tabuk, P. O. Box 741, Tabuk, Kingdom of Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
An approximate solution is obtained of the steady, laminar three-dimensional ow for an incompressible, viscous uid past a stretching sheet using the Spectral Adomian Decomposition Method (SADM). The governing partial dierential equations are transformed into ordinary dierential equations using suitable transformations. A comparison between the obtained results with solutions obtained early in the literature and the numerical solution has been made to test
the validity, accuracy and convergence of the SADM. The eects of physical parameters on the velocity are determined and discussed.
Keywords: MHD ow, Porous medium, Successive linearization method, Chebyshev spectral method.