MATLAB: How to fucntions like plot f(x,y) = 2 when 0<=x<=1 and 0<=y<=x

MATLABtwovariablesfunction

I'm struggling to do so. Any help will be appriciated.

Best Answer

If the region to plot over were a simple 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, you could use fimplicit(f(x,y) - 2, [0 1 0 1]). I don't think there is a good way of restricting the plotting domain to the triangle you are looking for, though. You could just cover the upper triangle with a fill([0 1 1], [1 0 1], [1 1 1]) call, I guess …

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MATLAB: Geometry function – domain sketch

Try pdepoly

x = 0:0.1:1;
y = x.^2-x+1;
x = [0 x 1];
y = [0 y 0];
pdepoly(x,y)

MATLAB: Plot multiple implicit functions

Try this:

%% Main
Sv = 1:0.1:2;                                           % Define The Range Of ‘S’ As A Vector
figure
hold all
for k = 1:numel(Sv)
    fimplicit(@(x,y)f1(x,y,Sv(k)), [-2 2 -2 2]);
end
hold off
grid
%% Function
function z = f1(x,y,S)
a=1;h=1;p=1;tau=0;m=10;
K1 = (x+h*y)/2;
K2 = (((x-h*y)/2).^2+(p*tau).^2).^(1/2);
c  = 2-a;
z  = a*(abs(K1+K2).^m) + a*(abs(K1-K2).^m) + c*((2*K2).^m) - 2*(S^m);
end

Note that it is necessary to remove the assigned value of ‘S’ inside ‘f1’, so the passed parameter is the value the function uses.

Best Answer

Related Solutions

MATLAB: Geometry function – domain sketch

MATLAB: Plot multiple implicit functions

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