In this paper, the nonlinear boundary value problem (BVP) for the JefferyHamel
flow equations taking into consideration the magnetohydrodynamics (MHD)
effects is solved by using the modified Adomian decomposition method. We first
transform the original two-dimensional MHD Jeffery-Hamel problem into an equivalent
third-order BVP, then solve by the modified Adomian decomposition method for
analytical approximations. Ultimately, the effects of Reynolds number and Hartmann
number are discussed.