Numerical Study of Hydromagnetic Flows Through a Porous Medium

Problems in Computational fluid dynamics are often formulated in terms of partial differential equations, together with initial and boundary conditions. It can be clearly observed that exact analytical solutions may be obtained only at very simple cases. In actual situations, problems are more complicated, as they involve non-linear differential equations with boundary conditions. So, it is very difficult to obtain an analytical solution of the problem due to its non-linearity. Therefore it is necessary to apply some numerical methods for the problems of practical interest. A large number of different approximation methods have been available for solving differential equations; the prominent among them is finite-difference method. So, in the present work, numerical techniques are used to obtain the approximate solution and to describe the physics of the non-linear boundary value problems.