# Animation of plot upon changing parameter

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Hexe on 21 May 2023
Commented: Hexe on 12 Jun 2023
Hello! I have a code and a set of pictures at different values of parameter t. Is it possible to make an animation to see how the plot changes with changing time (t=0:3)? If somebody knows how, please, help me. Thank you.
s = 3;
n = 1;
t = 0.1;
r = 1;
a = 0:1:360;
a = a*pi/180;
b = sqrt(2*n*t);
L = sqrt((4*t+r^2)/3);
fun = @(k,u,c,a) ((k.^2).*exp(-1.5*k.^2)).*((u.^2).*(1-u.^2).*exp(-(b.*u).^2).*(cos(s.*k.*u.*cos(a)/L))).*(((cos(c)).^2).*(cos(s.*k.*sqrt(1-u.^2).*sin(a).*(cos(c)+sin(c))/(L*sqrt(2)))));
f3 = arrayfun(@(a)integral3(@(k,u,c)fun(k,u,c,a),0,Inf,-1,1,0,2*pi),a);
B = ((6*sqrt(6)*b^3)/(erf(b)*pi^2))*(1-(3/(2*b^2))*(1-((2*b*exp(-b^2))/(erf(b)*sqrt(pi))))).^(-1);
R = B*f3;
polar(a,R);

Sugandhi on 7 Jun 2023
Hi Hexe,
I understand that you want to to make an animation to see how the plot changes with changing time.
Yes, it is possible to create an animation in MATLAB to see how a plot changes over time by looping through a sequence of plots and using the `pause` function to control the speed of the animation.
Here's an example of how to create an animation to display a plot of a function across time in MATLAB:
% Define function and time range
t = 0:0.1:3;
x = linspace(-2, 2);
y = zeros(length(x), length(t));
for k = 1:length(t)
y(:, k) = sin(x + t(k));
end
% Create animated plot
figure;
for k = 1:length(t)
plot(x, y(:, k));
xlabel('x');
ylabel('y');
title(sprintf('t = %0.1f', t(k)));
ylim([-1.5, 1.5]);
pause(0.1);
end
Use the `pause` function to pause the execution of the code for 0.1 seconds between each frame, creating the appearance of an animation.
Adjust the time range, and `pause` time as needed to create an animation that displays the changing plot of your function over time.
Hexe on 12 Jun 2023
Thank you. I will try this.