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Re: Differential eqation: command set up

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  • Subject: [mg79629] Re: Differential eqation: command set up
  • From: chuck009 <dmilioto at comcast.com>
  • Date: Tue, 31 Jul 2007 06:17:26 -0400 (EDT)

I made a syntax error in my earlier post in an attempt to format it better.  Apparently need to specify initial condition first:

a = 1; 
Clear[u, x, t]
sol = NDSolve[{D[u[x, t], t] == a*D[u[x, t], x, x], 
    u[x, 0] == 0,
    u[-1, t] == 1 - Exp[-1000*t], 
    u[1, t] == 1 - Exp[-1000*t]},
    u,
    {x, -1, 1}, {t, 0, 5}]
Plot3D[Evaluate[u[x, t] /. First[sol]], {x, -1, 1}, 
  {t, 0, 5}]


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