If a plate has reached a thermal equilibrium and x is a grid point not on the boundary of the plate, then the temperature at x is approximately the average of the temperatures of the four closest grid points to x.

To evaluate the distribution of heat on our plate, we first need to break our plate into a grid. We will start by exploring a simple grid of four interior points.

Find the system of equations for the distribution of heat for the plate at thermal equilibrium on the simple grid. HINT: First find the equations for each of the interior

points x1- x4.

Solve this system of equations.

Create a matrix which represents the temperature of each point on the grid.

Use the built-in MATLAB function imagesc to create a visual representation of the distribution of heat. Do not forget to add a title!!

PLEASE SOLVE BY USING MATLAB

25 #2:1 10 20 15 25 #2:1 10 20 15