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

作者：Dib A^*; Haiahem A; Bou Said B

来源：Computers & Fluids, 2014, 102: 111-115.

DOI：10.1016/j.compfluid.2014.06.026

• Jeffery-Hamel flow
• Magnetohydrodynamics
• Duan-Rach approach
• Adomian decomposition method (ADM)
• Nonlinear equations

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.

• 出版日期2014-10-10