Urgent! Numerical Methods problem related to electromagnetics. Consider the regi

Question

Urgent! Numerical Methods problem related to electromagnetics.

Consider the region enclosed on 3 sided by grounded conducting planes. It has width a in the x-direction and height b in the y-direction. The end plate on the left is insulated from the grounded sides and has a constant potential V0. All planes are assumed to be infinite in extent in the z-direction. The potential in this region is Finite Difference Make a finite difference solution to solve the Laplace Equation in the region of interest and makes a contour plot of it's solution. Submit the Matlab code. Study the scaling of the mean square error with the spacing of your grid points. Monte Carlo Make a Monte Carlo simulation that results in a solution of the LaPlace Equation. How does it's error scale with the number of random trials?

Explanation / Answer

Monte carlo Laplace eqaution:

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