Math Is Fun Forum

Andrew_

Guest

The damped wave equation

I'm trying to solve the PDE:

with the boundary conditions:

K, N, D, & r are all real positive variables.

Is it possible to do a certain transformation and eliminate the term containing the 1st order time derative ? As when we do for e.g. with the advection/convection diffusion equation. I thought I could reduce this equation to the usual wave equation by introducing new variables , but nothing seems to be working. Does anyone have any suggestion ? Any reference perhaps? My objective is to find a solution in the closed form, something analytical.

Thank you