This paper presents a numerical study of the flow of an electrically conducting power-law fluid in the presence of a uniform transverse magnetic field. This flow is governed by the non-linear differential equation n(-f '')(n-1)f''' - (f')2 + (2n/n+1)ff '' - Mf' = 0. where a prime denotes differentiation with respect to the similarity variable eta and n, M are respectively the power-law index and the magnetic parameter. In this work, the numerical solutions are obtained using a Runge-Kutta algorithm for high-order initial value problems. (c) 2004 Elsevier Inc. All rights reserved.