- #1
Tohiko
- 8
- 0
Hi,
I want to solve the following wave equation:
[tex]u_{tt} - c^2 u_{xx} = f(x,t)u [/tex]
What is the best way to do it? I don't think I can use Duhamel's principle since I have a u in the forcing.
Doing a change of variables of the form
[tex] w=x+ct, v=x-ct [/tex]
Seems to make things worse.
Any ideas?
Thank you
I want to solve the following wave equation:
[tex]u_{tt} - c^2 u_{xx} = f(x,t)u [/tex]
What is the best way to do it? I don't think I can use Duhamel's principle since I have a u in the forcing.
Doing a change of variables of the form
[tex] w=x+ct, v=x-ct [/tex]
Seems to make things worse.
Any ideas?
Thank you