# ICASE/LaRC workshop on benchmark problems in computational aeroacoustics, category 1, problem 2

Solve the initial value problem

$\frac{\partial u}{\partial t} +\frac{u}{r} +\frac {\partial u}{\partial r} =0$
$u(x,0)=0$

Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [5,450].The boundary condition at r=5 is u(5,t)= sin($\omega$ t ).Perform computation for a) $\omega =\frac{\pi}{4}$ b) $\omega =\frac{\pi}{3}$