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MathGroup Archive 2004

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Help in solving PDF equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52240] Help in solving PDF equations
  • From: Wei Wang <weiwang at baosteel.com>
  • Date: Wed, 17 Nov 2004 02:20:08 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Sorry for making mistake in typing in last mail. Here comes the right one:
Could anybody please help me in solving the following PDF equation?

(p + E * (1 + (Derivative[1, 0][f][x, t])^2)^(1.5)/Derivative[2, 0][f][x, t]) )*(1- (Derivative[1, 0][f][x, t])^2)/Sqrt[1 + (Derivative[1, 0][f][x, t])^2]  - k * Derivative[0, 1][f][x, t]==0

with initial or boundary conditions being

f[x, 0] == -r
Derivative[0, 1][f][x, 0] == p/k
Derivative[1, 0][f][R0, t] == 0
f[x, t] == If[0<= x <=r, Sqrt[r^2 - x^2]]

where, E, p, k, R0 and r are constants.

Thanks in advance.

Wei



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