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

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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}


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