How plot time varying animated 3D surface of z which depends on x and y as well as time, t such as: z (x, y, t) = exp -(x-5t)^2 + (y- 5t)^2.

z (x, y, t) = exp -(x-5t)^2 + (y- 5t)^2.

I need to plot z wrt independent variables x and y animating for time t= 0 to say, t= 10.

Answer 1

[KSSV]

t = linspace(0,10) ; 
x = linspace(0,1) ;  % choose your range 
y = linspace(0,1) ;   % choose your range 
[X,Y] = meshgrid(x,y) ; 
for i = 1:length(t)
    Z = exp(-(X-5*t(i))).^2 + (Y-5*t(i)).^2. ;
    surf(X,Y,Z)
    shading interp 
    drawnow
end

[SUMIT KUMAR]

Thanks.

Errors coming up if making changes. Can you please plot my actual problem which is as follows:

c (x,y,t) = (486/t) * exp - (((x-0.415 t)^2 / (2.152*t)) + ((y-0.005 t)^2 / (0.0012*t)))

where x range from 0 to 17, y from 0 to 0.6 and t from 1 to 41.

z ( x, y,t) = c (x,y,1) + c (x, y,2) + .................. + c (x,y,t)

Need animated plot of Z over x and y varying with time.

[KSSV]

What error you are getting? Show us your full code and error line. It is striaght forward to extend the given code to your case.

[SUMIT KUMAR]

working with my equation with following code.

But i have modified my problem, i need plot of z which is cumsum of earlier function.

Can you please modify this code so that i can get plot of z instead of c.

c (x,y,t) = (486/t) * exp - (((x-0.415 t)^2 / (2.152*t)) + ((y-0.005 t)^2 / (0.0012*t)))

where x range from 0 to 17, y from 0 to 0.6 and t from 1 to 41.

z ( x, y,t) = c (x,y,1) + c (x, y,2) + .................. + c (x,y,t)

Need animated plot of Z over x and y varying with time

t = linspace(1,41) ; 
x = linspace(0,17) ;  % choose your range 
y = linspace(0,0.6) ;   % choose your range 
[X,Y] = meshgrid(x,y) ; 
for i = 1:length(t)
    c = (486.82575/t(i)) * exp (-((((X -(0.415*t(i))).^2)/(2.1516*t(i)))+(((Y -(0.005*t(i))).^2)/(0.0012*t(i)))));
    surf(X,Y,c)
    axis([0  17    0  0.6    0  50])
    shading interp 
    drawnow
    pause (0.01)
end