Could someone please point me in the right direction for finding an analytical solution to the following (if one exists):
f is probably going to be a constant function and I will probably have constant initial and boundary conditions but they're not finalised yet, I'm just looking for a gentle nudge in the right direction or for someone to tell me that it's unsolvable so that I can use a numerical method.
Thanks in advance!
and the PDE becomes
We'll first consider the PDE without a source term ( ) then address it later.
Now assume separable solutions
so your PDE becomes
, where and are constants
with the boundary condition . Now we are a point like solving the heat equation in one space dimension.
Your turn - You pick it up from here.