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I have a function $f(x,y,t)$ that depends on the spatial variables "x" and "y" and the temporal variable "t". how can I do an animation in mathematica that shows the movement of the surface over time? in what formats this animation can be saved? Can you give me an example?

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    $\begingroup$ Can you give an example f[x, y, t] that you want to animate? $\endgroup$ – J. M. will be back soon♦ Sep 8 '17 at 4:01
  • $\begingroup$ Yes, for example: f[x, y, t] = (Exp[x + t] - Exp[x - t]) Cos[y] $\endgroup$ – Julio Abraham Mendoza Fierro Sep 8 '17 at 4:23
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    $\begingroup$ Perhaps it is also worth checking out the description for the Animate function $\endgroup$ – Dunlop Sep 8 '17 at 4:26
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Something like this?

f[x_, y_, t_] = (Exp[x + t] - Exp[x - t]) Cos[y]

Animate[Plot3D[f[x, y, t], {x, 0, 12}, {y, 0, 12}], {t, 0, 1}]



Animate[Plot3D[f[x, y, t], {x, 0, 12}, {y, 0, 12}, PlotRange -> {-5.9, 9.9}], {t, 0, 1}]
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