How to make a function output a matrix

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Petch Anuwutthinawin
回答： SALAH ALRABEEI 2021-6-17
I am trying to make a function that takes in multiple variables and outputs a matrix of values. The inputs are supposed to plug into the equation V, and output a matrix. My problem is that this outputs a vector instead of a matrix. How do I make it output a matrix?
function T = prob3_5(x,y,N,L,W,T1,T2)
V=zeros(1,length(x));
for n=1:2:N
for i=1:length(x)
V(i)=V(i)+(2/pi)*(2/n)*sin(n*pi*x(i)/L).*sinh(n*pi*y(i)/L)/sinh(n*pi*W/L);
end
T=(T2-T1)*V+T1;
end
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SALAH ALRABEEI
SALAH ALRABEEI 2021-6-17
% This is a Fourier series why do you want a matrix, it is just an array
% because you just summing up the solution at each point of x and y.
% The output is vector because T is V and V is defined as a vector V=zeros(1,length(x));
Petch Anuwutthinawin
Petch Anuwutthinawin 2021-6-17
the answer should have the same number of columns as elements in X, and the same number of rows as elements in Y.

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SALAH ALRABEEI
SALAH ALRABEEI 2021-6-17
I think you need only one loop that accomulate the series. I am assuming x and y are sent to the function as vectors, then we creat grid out of them
T = prob3_5(x,y,N,L,W,T1,T2)
[x,y]=meshgrid(x,y);
V=zeros(size(x));
for n=1:2:N
V=V+(2/pi)*(2/n)*sin(n*pi*x/L).*sinh(n*pi*y/L)./sinh(n*pi*W/L);
T=(T2-T1)*V+T1;
end

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