In this study, we consider a magnetohydrodynamics (MHD) problem of unsteady and
incompressible boundary layer flow of viscous fluid past an elliptical cylinder. The effect of magneti
c field that acts on viscous fluid causes the separation of flow delay. Dimensional Governing Equations are formulated from the physical phenomena and reduced by using boussinesq approximation and boundary layer theory. These dimensional boundary layer further are conver
ted into non-dimensional form by substituting several non-dimensional variables. Further, those non-dimensional equations are transformed into similar equations and solved numerically by using Keller-Box method. Numerical results for the flow quantities show that
temperature profiles decrease when both of magnetic parameter and convective parameter increases.