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igor_b Apr15-10 03:28 PM

2d damped wave equation
Hi to all!

I need to solve following equation:
\frac{\partial^2 u}{\partial t^2} + 2 \beta \frac{\partial u}{\partial t} -c^2\nabla^2u=0

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).


jrosen13 Apr15-10 08:04 PM

Re: 2d damped wave equation
Seperation of variables to turn it into ordinary differential equations. It looks like __ equation for spatial part, and __ for time part, but I wont fill in the blanks, thats cheating :)

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