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Question about Three Dimensions Partial Differential Equation (PDE)

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  • Subject: [mg108008] Question about Three Dimensions Partial Differential Equation (PDE)
  • From: Anh Ngoc LAI <laianhngoc at yahoo.com>
  • Date: Fri, 5 Mar 2010 04:32:06 -0500 (EST)

Dear all,
I'm interesting in solving a Three dimensions partial differential equation (PDE) type:
D[f[t, x, y, z], t] == a*D[f[t, x, y, z], x, x] + b*D[f[t, x, y, z], y, y] +
c*D[f[t, x, y, z], z, z] + d*D[f[t, x, y, z], x] + e*D[f[t, x, y, z], y] + g*D[f[t, x, y, z], z] + h*D[f[t, x, y, z], z,x]  + k*D[f[t, x, y, z], z ,y] +  m*D[f[t, x, y, z], x,y];
where a, b, c, d, e, g, h, k, m are given coefficients.
Did you ever have this kind of experience with Mathematica, and is it feasible using Ndsolve? Except for the case when you discretize this PDE then use SOR method.
Thanks for your reply.
LAI.      


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