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Topic: NDSolve PDE problem
Replies: 1   Last Post: Mar 15, 2013 1:46 AM

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 Ilya Valmianski Posts: 7 Registered: 6/24/08
NDSolve PDE problem
Posted: Mar 13, 2013 4:18 AM

Hello All,

I am having a problem using NDSolve. I get the error:

"NDSolve::ivone: Boundary values may only be specified for one independent variable. Initial values may only be specified at one value of the other independent variable."

The input is the following (I marked different entries with new lines for readability):

NDSolve[
{
1+10 DiracDelta[t] DiracDelta[-10+z]+10 DiracDelta[-5+z]==-10 (x^(0,2))[t,z]+(1+10 DiracDelta[-5+z]) (x^(2,0))[t,z],

x[0,z]==1/20 ((40-z) z+20 (z+(5-z) HeavisideTheta[-5+z])),

x[t,0]==0
}

,x[t,z],

{t,0,Sqrt[10]},

{z,0,10}

]

Essentially I have a second order PDE for x[t,z], and I define x[t=0,z] and x[t,z=0]. As far as I understand this is sufficient to solve this equation, or do I need more boundaries? Is my syntax wrong?

Best,

Ilya

Date Subject Author
3/13/13 Ilya Valmianski
3/15/13 Alexei Boulbitch