How can i make a colored 2d grid map, using a equation?

My doubt is that, i want to make a colored 2d grid map using an equation. For ex, lets say i have a big intensity of a phenomenon in the center or elsewhere and it's decreasing with the distance from the source. Like sound propagation.

Maybe there is a maptool that can i modify the parameters in how the color changes from red colors range (high levels) to blue colors range (low levels) following an equation.

Hope someone can be of help.

[KSSV]

Show us the equation...

[stonedbored]

I have the values of q,k,a. I want to see how the pressure values changes in relation to the distance from the source on a colored grid map. So far, i know how to do a vector from 1 to 100 meters and see it on a graph, but my idea is to move the source in a 100x100 meters image for example, and see how the the intensity of the pressure decreases or changes. I guess its something related to the coordinates of the map.

Any idea?

Answer 1

[Bjorn Gustavsson]

This is exactly what matlab is for, so you're thinking about the right tool. For a quick take-off I recommend you look through the matlab-onramp material, there this type of topics will be introduced together with a lot of other important stuff. Then you can do this, but if you run into problems just ask for the details of where you get stuck.

Welcome to matlab!

Answer 2

[KSSV]

You need to proceed something like this:

% mesh 
x = linspace(-1,1) ; 
y = linspace(-1,1) ; 
[X,Y] = meshgrid(x,y) ;    

p = [0 0] ;    % charge is at this point 
%
R = sqrt((p(1)-X).^2+(p(2)-Y).^2) ; 
% constants 
Ka = 1 ; 
Q = 3.5 ; 
a = 2 ; 
% Equation 
P = Ka*(R/Q^(1/3)).^a ; 
surf(X,Y,P)