Unsteady Natural MHD Convection in Porous Medium Using Nonstandard Finite Difference Method

Abstract

Numerical solutions of unsteady magneto hydrodynamics convection in porous medium are the main concern of this paper. Isothermal walls with different temperatures are perpendicular to each other. The fluid inside the cavity generate heat non-uniformly and an incline magnetic field also gives effect to the fluid movement. Some new hybrid nonstandard finite difference schemes for unsteady problems are proposed. Overall, the new schemes improved the convergence rate up to 225 times faster and number of iteration up to 506 times less compared to classical finite difference scheme.