Colormap of the difference between a function Q(x,y) and a constant C in the (x,y)-plane

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Micheal oguntola 2018-8-27

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https://ww2.mathworks.cn/matlabcentral/answers/416372-colormap-of-the-difference-between-a-function-q-x-y-and-a-constant-c-in-the-x-y-plane

编辑： Micheal oguntola 2022-10-22

Here we have

So, I want the colormap for the difference C-Q(x,y) in the x-y plane and map out the regions where Q(x,y)=C, C<Q(x,y), and C>Q(x,y)

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KSSV 2018-8-27

What have you tried?

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Answer 1

KSSV 2018-8-27

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https://ww2.mathworks.cn/matlabcentral/answers/416372-colormap-of-the-difference-between-a-function-q-x-y-and-a-constant-c-in-the-x-y-plane#answer_334255

在 MATLAB Online 中打开

I am helping you for a major part. Rest you need to follow up .

m = 100 ; n = 100 ;
x = linspace(0,0.01,m) ;
y = linspace(0,0.01,n) ;
[X,Y] = meshgrid(x,y) ;
L = 0.81*10^-3 ;
C = 16.3 ;
N = 10000 ;
Q = zeros(m,n) ;
for i = 1:N
    vn = ((2*i-1)/2*L)^2*pi^2 ;
    A = -vn*X./(1+vn*Y) ;
    Q = Q+1/vn*(1-exp(A))  ;
end
Q = 2./X.*Q ;
pcolor(X,Y,Q) ;
shading interp ;
colorbar