MathGroup Archive 2002

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free boundary problem


Hi,

i'm trying to get a numerical solution to a free boundary problem in
mathematica. In general it looks like this:

LV(x,t)=dV(x,t) on the area where 0 <= x <= b(t)

V(x,t)=x            on the rest

dV(x,t)/dx = 1 for x=b(t)

with some other "non-free" boundary conditions.

The L stands for a differential operator in x, the d for differentation
w.r.t. t. Furthermore the free boundary b(t) is defined as the minimum over
the t >=0 for which V(x,t)=x.

I'd appreciate any suggestions! Anybody an idea how to tackle this?

Thanks in advance!



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