Question 4:
Solve the Laplace equation below, specially this can be thought of as a cube on a cartesian
coordinate system on an x and y plane. Choose your method of solution and write the method
steps for your chosen solution.
If you solve exactly state so, if you approximate, state the approximation methods and the
assumptions made.
$\frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} = 0$
Boundary conditions are f(x=0, y) = f(x,y=0) = 0 and f(x=50,y) = f(x, y=50) = 25.4