Reliable treatment of a new analytical method for solving MHD boundary-layer equations

The purpose of this study is to implement a new analytical method which is a combination of the homotopy analysis method (HAM) and the Padé approximant for solving magnetohydrodynamic boundary-layer flow. The solution is compared with the numerical solution. Comparisons between the HAM–Padé and the numerical solution reveal that the new technique is a promising tool for solving MHD boundary-layer equations. The effects of the various parameters on the velocity and temperature profiles are presented graphically form. Favorable comparisons with previously published works (Crane, J. Appl. Math. Phys. 21:645–647, 1970, and Vajravelu and Hadjinicolaou, Int. J. Eng. Sci. 35:1237–1244, 1997) are obtained. It is predicted that HAM–Padé can have wide application in engineering problems (especially for boundary-layer and natural convection problems).