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MathGroup Archive 2008

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mixed partial derivatives

  • To: mathgroup at smc.vnet.net
  • Subject: [mg91256] mixed partial derivatives
  • From: Narasimham <mathma18 at hotmail.com>
  • Date: Tue, 12 Aug 2008 04:45:30 -0400 (EDT)

When mixed derivatives are not allowed, what is the fix? TIA

p=D[X[u,v],u]; q=D[X[u,v],v]; r =D[X[u,v],u,u]; s=D[X[u,v],u,v];
t=D[X[u,v],v,v];
GC[u_,v_] = (r t - s^2)/(1+p^2 + q^2)^2
NDSolve[{GC[u,v]==  1, X[u, 0] == Cosh[u], Derivative[0,1][X][u, 0] ==
0,
        X[-3, v] == X[3, v]},X[u,v], {u,0,3},{v,0,3}]

Narasimham


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