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I need to solve following equation:

[tex]

\frac{\partial^2 u}{\partial t^2} + 2 \beta \frac{\partial u}{\partial t} -c^2\nabla^2u=0

[/tex]

It describes a damped wave on a x-y plane. [tex]2\beta[/tex] is damping factor and c is wave speed.

I haven't had any luck finding a PDE class that looks like this. Closest match is Helmholtz equation but it doesn't have [tex]\frac{\partial}{\partial t}[/tex] element.

Tried to solve it using Mathematica but didn't have any luck (but that is maybe because of the fact that I don't really know how to use Mathematica).

Any hints on how to proceed would be appreciated either on manual solving or by using Mathematica (or Matlab, for that matter).

Igor

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# 2d damped wave equation

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