THE HEAT TRANSFER AND MAGNETOHYDRODYNAMICS PROBLEM WITH HEAT SOURCE IN HALF INFINITE 1-D DOMAIN

In this paper we consider the temperature and laminar flow of an incompressible conducting fluid past a non-conducting half-space. For space approximation finite differences method-finite difference scheme (FDS) with exact spectrum (FDSES) for solving heat transfer initial boundary-value problem are used. This procedure allows reducing to value ordinary differential equations solution can be obtained numerically analytically. The equation is un-depending on velocity function obtain in analytical form use integral transform methods- Fourier Laplace transforms.