How can I solve the fourth order partial differential equation
\ a\frac{\partial u}{\partial t} -
b^2 \left( \frac{\partial^2 u}{\partial x^2} \right) +
c^2 \left( \frac{\partial^4 u}{\partial x^4} \right) =
f
This is the Harris Hearst equation. I need to find the eigenvalues (times of each harmonic), but I haven't really taken partial difi Q's.
Thanks
\ a\frac{\partial u}{\partial t} -
b^2 \left( \frac{\partial^2 u}{\partial x^2} \right) +
c^2 \left( \frac{\partial^4 u}{\partial x^4} \right) =
f
This is the Harris Hearst equation. I need to find the eigenvalues (times of each harmonic), but I haven't really taken partial difi Q's.
Thanks