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Student Support Forum: 'Spherical Wave solution using NDSolve..' topicStudent Support Forum > General > "Spherical Wave solution using NDSolve.."

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Vish
12/10/11 7:50pm

I am trying to solve the following spherical wave equation using NDSolve
D[U[r, t], t, t] == D[U[r, t], r, r] + 2/r*D[U[r,t],r]

with the following,4, initial/boundary conditions..

1)U[r,0]=Piinitial[r] *Pls see attachement this is rather complicated Piecewise function which is symmetric in the argument and smooth ..

2)Derivative[0, 1][U][r, 0] == 0

3)Derivative[1, 0][U][0, t] == 0

4)Derivative[1, 0][U][1000, t] == 0

I am unable to solve this system it returns..following errors

Infinity::indet: Indeterminate expression 0. ComplexInfinity encountered. >>

Power::infy: Infinite expression 1/0. encountered. >>

NDSolve::ndnum: Encountered non-numerical value for a derivative at t == 0.`. >>

Power::infy: Infinite expression 1/0. encountered. >>

General::stop: Further output of Power::infy will be suppressed during this calculation. >>

Infinity::indet: Indeterminate expression 0. ComplexInfinity encountered. >>

NDSolve::ndnum: Encountered non-numerical value for a derivative at t == 0.`. >>

I would be deeply grateful for any suggestions

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Subject (listing for 'Spherical Wave solution using NDSolve..')
Author Date Posted
Spherical Wave solution using NDSolve.. Vish 12/10/11 7:50pm
Re: Spherical Wave solution using NDSolve.. Quinn McKinsey 12/17/11 09:49am
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