Journal of Applied Mathematics and Physics, 2015, 3, 649-663 Published Online June 2015 in SciRes. http://www.scirp.org/journal/jamp http://dx.doi.org/10.4236/jamp.2015.36078 How to cite this paper: El-Dabe, N.T., Ghaly, A.Y., Rizkallah, R.R., Ewis, K.M. and Al-Bareda, A.S. (2015) Numerical Solution of MHD Boundary Layer Flow of Non-Newtonian Casson Fluid on a Moving Wedge with Heat and Mass Transfer and In- duced Magnetic Field. Journal of Applied Mathematics and Physics, 3, 649-663. http://dx.doi.org/10.4236/jamp.2015.36078 Numerical Solution of MHD Boundary Layer Flow of Non-Newtonian Casson Fluid on a Moving Wedge with Heat and Mass Transfer and Induced Magnetic Field Nabil T. El-Dabe 1 , Ahmed Y. Ghaly 1 , Raafat R. Rizkallah 1 , Karem M. Ewis 2 , Ameen S. Al-Bareda 1* 1 Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt 2 Department of Engineering Mathematics and Physics, Faculty of Engineering, El-Fayoum University, El-Fayoum, Egypt Email: * ameen_azeez@hotmail.com Received 2 May 2015; accepted 21 June 2015; published 25 June 2015 Copyright © 2015 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract The paper investigates the numerical solution of the magnetohydrodynamics (MHD) boundary layer flow of non-Newtonian Casson fluid on a moving wedge with heat and mass transfer. The ef- fects of thermal diffusion and diffusion thermo with induced magnetic field are taken in consider- ation. The governing partial differential equations are transformed into nonlinear ordinary diffe- rential equations by applying the similarity transformation and solved numerically by using finite difference method (FDM). The effects of various governing parameters, on the velocity, tempera- ture and concentration are displayed through graphs and discussed numerically. In order to verify the accuracy of the present results, we have compared these results with the analytical solutions by using the differential transform method (DTM). It is observed that this approximate numerical solution is in good agreement with the analytical solution. Furthermore, comparisons of the pre- sent results with previously published work show that the present results have high accuracy. Keywords Casson Fluid, Induced Magnetic Field, Boundary Layer, Moving Wedge, Radiation, Soret and Dufour Effects * Corresponding author.