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Iterative procedure for potential distribution of a cylindrical problem?

  1. Aug 21, 2012 #1
    Hi there,

    I arrived at the solution for a electric potential problem for a semi-infinite cylinder (there was a potential distribution given for the boundary conditions but that's not important here).

    http://i210.photobucket.com/albums/bb283/DidgeFrank/Cylinder_pot.jpg

    The solution is equation (1). You have to use the Bessel functions of first order and there is a parameter λn appearing (equation (2)). My problem is how to calculate the various λn values. I know it must work with an iterative procedure. I am especially interested in a Mathematica procedure to do this.

    Thanks in advance for some helpful hints,
    OMN
     
  2. jcsd
  3. Aug 25, 2012 #2
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