The Ritz-Galerkin method for MHD Couette flow of non-Newtonian fluid

In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) ow of third grade uid between the two plates. The properties of the Bernstein polynomials together with the Ritz-Galerkin method are used to reduce the solution of the MHD Couette ow of non-Newtonian uid in a porous medium to the solution of algebraic equations.