Error using contour (Z must be at least a 2x2 matrix. What changes should I make to my code to make Z a 2x2 matrix?

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alpha=linspace(1,8);
beta=linspace(0,8);
a=(1/5).*(sqrt((2.*pi.*beta)./((alpha.^2)-1)));
u= sqrt((alpha.^2)+(beta.^2));
t= sqrt(1+(beta).^2);
G=real(a.*reallog((alpha+u)./(1+t)));
[X,Y] = meshgrid(alpha,beta);
contour(X,Y,G)
The final plot of the above code should resemble something like this:
I have double chekced, the formula is correct and the value of G at a given alpha and beta match with the experimental results. However, I face a problem with the dimensions of Z as it should be a 2x2 matrix.
Thank you in advance.

采纳的回答

Cris LaPierre
Cris LaPierre 2020-1-30
编辑:Cris LaPierre 2020-1-31
The solution is to ensure X, Y and G are all the same size. The meshgrid operation makes X and Y 100 x 100. The problem, then, is when you try to use contour, there is not a value in G for each X,Y pair.
The simplest way to do this is call the meshgrid function immediately after creating alpha and beta. That way, all the subsequent calculations are performed on the 100x100 variables, resulting in G being 100x100 as well.
alpha=linspace(1,8);
beta=linspace(0,8);
[alpha,beta] = meshgrid(alpha,beta);
a=(1/5).*(sqrt((2.*pi.*beta)./((alpha.^2)-1)));
u= sqrt((alpha.^2)+(beta.^2));
t= sqrt(1+(beta).^2);
G=real(a.*reallog((alpha+u)./(1+t)));
contour(alpha,beta,G)

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