Equations with mode m,n

How do I code an equation in which a term as different mode represented by subscripts m,n as shown in the figure

[pragnan nadimatla]

I understand that you wanted to code the equations with different modes. In MATLAB, if you need to represent different modes with subscripts m and n in an equation, you can use nested for loops to iterate through the modes and calculate the equation for each mode.

Please refer to the below code snippet.

A = zeros(N); % Initialize a matrix of size N x N to store the solution
for m = 1:M
    for n = 1:N
        sum = 0;
        for k = 1:K
            sum = sum + B(m, k) * C(n, k);
        end
        A(m, n) = sum;
    end
end

In this code, M and N are the number of modes in the x and y directions, respectively, and K is the number of terms in the sum. B and C are matrices of size M x K and N x K, respectively, that contain the coefficients of the terms in the sum.

The outer two loops iterate over the different modes, and the inner loop computes the sum over the terms in the equation. The result is stored in a matrix A of size M x N.

Please refer to the below documentation for more information on using for loop:

https://in.mathworks.com/help/matlab/ref/for.html?searchHighlight=for%20loop%5C&s_tid=srchtitle