How to plot a 2d potential function

Hi all. Today I came across a function f(X,Y) = cos(2*pi*X)(1+3Y) + ((2*pi*y)^2)/2.

I thought this was a 3d function but apparently it's not. How do i plot this 2D function in MATLAB.

Is there a special function for handling potential functions in MATLAB? thank you very much

Answer 1

[Stephan]

f = @(X,Y) cos(2*pi.*X).*(1+3.*Y) + ((2*pi.*Y).^2)/2
fsurf(f)

[MatlabEnthusiast]

so it indeed is 3d, right? does that mean the script had an error when it said 2d plot of the potential function?

thanks for the answer btw

[Stephan]

Yes, you have independent 2 input variables and a resulting value which is usually shown in the 3rd dimension. But of course you also can show this in 2D by using:

fcontour(f)

This results in:

If this answer was helpful, please accept it.

[MatlabEnthusiast]

yes. this is very helpful