The temperature distribution in a thin metal plate with constant (or isothermal) temperatures on each side can be modeled using a two-dimensional grid with N columns and M rows, as shown in Figure 1. Eq. 1 is the two-dimensional Laplace's equation and it represents the steady-state temperature distribution over a two-dimensional body with no heat source. Eq. 2 is a finite- difference approximation of Eq. 1. Typically, the temperature of points in the grid are specified, as are the constant temperatures on the four sides. The temperatures of the interior points are usually initialized to zero, but they change according to the temperatures around them using Eq 3. Each time that the temperature of an interior point changes, the temperatures of the points adjacent to it change. These changes continue until a thermal equilibrium is achieved and all temperatures become constant. =0 Ax2 d -c Ax2 Ay2