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MathGroup Archive 2007

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Other PDE heat equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79679] Other PDE heat equation
  • From: Miguel <misvrne at gmail.com>
  • Date: Wed, 1 Aug 2007 05:14:30 -0400 (EDT)

How can I to resolve the unidirectional heat transmission for a plate
o slab:

a=0.03;hc=1890;k=34;L=0.03;

NDSolve[{a D[u[x,t],{x,2}]==D[u[x,t],t],
u[L,0]==600,  (* Initial value: the plate has the same temperature *)
u[-L,0]==600,
u[0,0]==600,
(D[u[x,t],x]/.x->0)==0  (* Max. in centre *)
(D[u[x,t],x]/.x->L)==(-hc/k)(u[L,t]-600)    (* Q convection = Q
conduction *)
u[L,t]==u[-L,t]},  (* Temper. symetric *)
u[x,t],{x,-L,L},{t,0,10}]

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. >>

Where is my error?

Thanks



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