# 2d damped wave equation

1. Apr 15, 2010

### igor_b

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. $$2\beta$$ 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 $$\frac{\partial}{\partial t}$$ 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

2. Apr 15, 2010

### jrosen13

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 :)