- #1
Tunneller
- 4
- 0
Hi,
I'm looking for a solution to
u_t + A u_x + B (u - f) = 0
where f is a given function linear in x and constant in t.
u(x,0) = f(x)
u(0,t) = f(0)
A and B constant. Does this equation have a name? It's almost the inviscid Burger, but has the damping term (B u) and force term (B f).
Also, any ideas on a solution? I've tried method of characteristics but I trip over the third term and/or the boundary conditions
Regards, John
I'm looking for a solution to
u_t + A u_x + B (u - f) = 0
where f is a given function linear in x and constant in t.
u(x,0) = f(x)
u(0,t) = f(0)
A and B constant. Does this equation have a name? It's almost the inviscid Burger, but has the damping term (B u) and force term (B f).
Also, any ideas on a solution? I've tried method of characteristics but I trip over the third term and/or the boundary conditions
Regards, John