Plotting the Contour of the Solution of the Laplace Equation

I would like some guidance as to how to input this equation into MATLAB. How can I plot the contour of this function using a grid with different values of x and y with parameters Vo = 1, a = 1, and b = 1.1, for example.

Answer 1

[Christiaan]

Dear Jack,

In the code below, you find a small code that could help you to plot your the laplacian function.

However note that if you take n infinite, then many numbers go to -Inf or +Inf.

Kind regards, Christiaan

    clc;clear all;close all;

range = 10; accuracy = 200;
X   =   linspace(-range,range,accuracy);
Y   =   linspace(-range,range,accuracy);

V0 = 1; a = 1;
b = 1.1;

for i = 1:length(X)
    for j = 1:length(Y)
        x = X(i);
        y = Y(j);

          V(i,j) = 0;
          for n=1:2:1500
               V(i,j) = V(i,j) + sinh(n*pi*(a-x)/b)/(n*sinh(n*pi*a/b))*sin(n*pi/b*y);
          end
      end
  end

GRAD = gradient(V);
mesh(X,Y,V,GRAD)