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Help w/ solving nonzero B.C PDE heat eq in polar coord.

  1. Aug 3, 2009 #1
    it is the typical pde heat equation in polar coord:
    [tex]\partial[/tex]u/[tex]\partial[/tex]t = [tex]\partial^2[/tex]u/[tex]\partial[/tex]r[tex]^{2}[/tex] + (1/r) [tex]\partial[/tex]u/[tex]\partial[/tex]r + (1/r[tex]^{2}[/tex]) [tex]\partial^2[/tex]u/[tex]\partial[/tex][tex]\Theta^2[/tex]

    where:
    - 0 < r < 1
    - 0 < [tex]\Theta[/tex]< 2 [tex]\Pi[/tex]
    - U(1, [tex]\Theta[/tex], t ) = sin3[tex]\Theta[/tex]
    - U(r, [tex]\Theta[/tex], 0 ) = 0

    I don't know how to use the Bessel function with this non-zero BC. Please point me in the right direction
     
    Last edited: Aug 3, 2009
  2. jcsd
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