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equations on domains

• To: mathgroup at smc.vnet.net
• Subject: [mg76833] equations on domains
• From: mire <virgiliub at yahoo.com>
• Date: Mon, 28 May 2007 01:02:17 -0400 (EDT)

Does anyone know how to solve a system of differential equations on
different domains?

For instance say you have :
D[T[x,t],t]==D[T[x,t],x,x] , for -r<x<0
D[T[x,t],t]==D[T[x,t],x,x]+Q[x,t],  for 0<x<r

and some boundary conditions ...

I would like the equations to be solved for x in (-r, r)

Is it possible to solve it avoiding solving two independent equations
for the 2 intervals?
~V