Question

I would like to solve the kinematic wave equation (hydraulics) using the finite difference method.I appreciate your help.

Answer 1

yep, shoot off the wave equation and we'll get to solving it

Answer 2

dq/dx+dy/dt=r
initial condition at t=0, q=0 and y=0 for all x
upstream boundary at x=0, q=0 for all t
downstream boundary at x=L, S0=Sf
(kinematic wave equations)
Regards