Differential Transform Method for MHD Boundary-Layer Equations: Combination of the DTM and the Padé Approximant

The purpose of this study is to implement a new analytical method (DTM-Pade technique which is a combination of the differential transform method and the Pade approximant) for solving magnetohydrodynamic boundary-layer flow. We will show that the DTM solutions only valid for small values of independent variable, therefore the DTM not applicable for solving MHD boundary-layer equations. Numerical comparisons between the DTM-Pade and the classical fourth-order Runge-Kutta reveal that the new technique is a promising tool for solving MHD boundary-layer equations.