Example 3.  Solve Laplace's equation with the Neuman boundary condition over a  9 by 9  grid with boundary conditions
    Top:            180
    Left:              80
    Bottom:     = 0
    Right:             0

Solution 3.

First set up the boundary values.

Next, solve it.

Plot the solution.

To see the numerical values enter the command:

We can make a contour plot of the solution.  However, to get the orientation like the table and the 3D figure requires reversing the rows in the matrix.

This problem has smoother contours.

(c) John H. Mathews 2004