You can use the surf plot to visualize a spatial diagram for cross diffusion in MATLAB. The surf function creates a 3D surface plot, where the x and y coordinates represent the spatial domain, and the z coordinate represents the concentration or any other quantity of interest.
Here's an example code snippet,
% Define the domain and mesh
x = linspace(0, 1, 100);
y = linspace(0, 1, 100);
[X, Y] = meshgrid(x, y);
% Define the cross diffusion coefficients
D1 = 1;
D2 = 0.5;
% Compute the solution
u = D1*X.^2 + D2*Y.^2; % Example solution, replace with your own
% Plot the spatial diagram using surf
surf(X, Y, u);
title('Spatial Diagram for Cross Diffusion');
xlabel('x');
ylabel('y');
zlabel('Concentration');
In this example, X and Y define the meshgrid for the spatial domain, and u represents the concentration. The surf function is used to create the 3D surface plot, with the x and y coordinates provided by X and Y, and the z coordinate provided by u.
In addition to the surf functions, there are several other plots you can use to create a spatial diagram for cross diffusion in MATLAB.
You can refer to the below documentation on plots for more information on plots,
Hope this helps!
