I am trying to build a program in Matlab to solve the following hyperbolic PDE by the method of characteristics
∂n/∂t + G(t)∂n/∂L = 0
with the inital and boundary conditions
n(t,0)=B(t)/G(t) and
n(0,L)=ns
Here ns is an intial distribution (bell curve) but I don't have a function to...
Thanks for the reply. I know that the characteristic equations for this PDE are:
∂n/∂s=0 (1)
∂L/∂s=G (2)
∂t/∂s=1 (3)
Solving the above:
n=n0 (4)
t=s (5)
L=Gt+L0 (6)
From what I can see, the...
Homework Statement
The PDE: ∂n/∂t + G∂n/∂L=0
The initial condition: n(0,L)=ns
The boundary condition: n(t,0)=B/G
The parameter B and G above are dependent upon process conditions and change at each time. They can be calculated with adequate experimental data.
Homework Equations...