2d damped wave equation
Hi to all!
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 xy 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 
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 :)

All times are GMT 5. The time now is 09:54 AM. 
Powered by vBulletin Copyright ©2000  2014, Jelsoft Enterprises Ltd.
© 2014 Physics Forums