How can I save date that is overwritten on each loop?

I have written a code which performs Eulers method on a vector of h'd and a for loop is used. My problem is that the data is overwritten each time because I didn't think I would need to save it for later use. Then I was assigned to created a table out of each set of h's and y outputs. I created the table in the loop but the data is overwriten each time. How can I save the data in the loop and is this the best way to write the code? This was a school assigment but I have already turned it in and I'm just trying to have a better understanding of Matlab.

Q = 500;   %given 
A = 1300;  %given 
a = 150;   %given 
h = [1 .5 .1 .005]; %given delta t
f = @(t,y)(3.*(Q./A).*(sin(t)).^2)-((a.*(1+y).^1.5)./A); %diff eq -- the for loop will plug the multipe values back into this equation. 
t_init = 0;
t_final = 10
for i = 1:length(h)
    t = t_init:h(i):t_final;    %this for loop will count and identify the multiple h, y, t values
    dt = length(t);
    y = zeros(1,dt);
    y(1)=1;                     %inital condidition of y
    
    for j = 2:dt
        y(j) = y(j-1)+h(i)*f(t(j-1),y(j-1));   %eulers
    end
    plot(t,y); %after the values have been calculated the loop then plots the vectors 
    hold on;
    T = table(t',y','VariableNames',["Delta T","Delta Y"]) %created the table DURING EACH LOOP **The data is not stored in a variable but is overwritten on each loop**
    save('Data.mat','T'); % me trying to save the data on each h but failing
end
title('y(i)-water levels vs delta t')
ylabel('Water levels')
xlabel('Time')
legend('t1 = 1', 't2 = .5','t3 = .1','t4 = .05')

Answer 1

[Cris LaPierre]

Create your mat file name dynamically.

save(['Data' num2str(i) '.mat'],'T'); % me trying to save the data on each h but failing

[Ailun Yang]

Thanks, this method works great!

Answer 2

[Star Strider]

I would record the individual table objects in a cell array, then save them after the loop, if desired:

    T{i,:} = table(t',y','VariableNames',["Delta T","Delta Y"])

then, somewhere after the loop:

save('Data.mat','T')

I tested that and it ran without error. I also checked to be certain it also loads correctly:

T2 = load('Data.mat');
T = T2.T

It does.

[Ailun Yang]

Thanks, This worked wonderfully!

[Star Strider]

My pleasure!