An analytical solution of the MHD Jeffery-Hamel flow by the modified Adomian decomposition method

In this paper, we apply a new approach of the Adomian decomposition method developed by Duan-Rach (DRA) to solve the MHD Jeffery-Hamel flow. A purely analytical solution can be obtained by this approach. This method modifies the Adomian decomposition method (ADM) by evaluating the inverse operator at the boundary conditions directly. The results show a good agreement with numerical method (4th-order Runge-Kutta algorithm) and homotopy analysis method (HAM). The algorithm derived from this approach can be easily implemented. (C) 2014 Elsevier Ltd. All rights reserved.