MATLAB: Is it possible to plot a function T(x,y,z,t), or even just T(x,y,z)

3d plotsheat equationMATLAB

want to plot a function T(x,y,z,t) for a x=0:pi, y=0:pi, z=0:pi, and some t=0:… Is this possible? Im trying to show heat heat dissipation in a 3D cube over time.

Best Answer

Sure, the easiest way is to represent the T value using color, using scatter3 (for discrete data), or patch/surf (for continuous data, like a function). You can further use transparency to show a fifth dimension (by modifying the 'AlphaData' property of the points), although this might be too difficult to read.

doc scatter3
doc surf

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MATLAB: Help to plot a Surface plot of: z = y sin x – x cos y

[X,Y] = meshgrid(-5:.2:5);
Z = Y .* sin(X) - X .* cos(Y);
surf(X,Y,Z)

MATLAB: Error using mesh, Z must be a matrix

Espen, use

 x = linspace(0,4,20);
 y = linspace(0,4,20);
 [X,Y] = meshgrid(x,y);  % create a grid of data points
 Z     = sin(pi.*X).*sin(pi.*Y);
 mesh(X,Y,Z)

Z needs to be an n-by-m, just like X and Y.

Best Answer

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