Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Constrained PDE : 3D -> 1D

  1. Jul 24, 2005 #1

    Ido

    User Avatar

    I got the following PDE:
    Laplasian[F]+a*d(F)/d(teta)=E*F

    I worked with cylindrical coordinates (r,teta,z)
    (teta is the angle between the x axis and the r vector (in xy plane))
    a,E are constants

    I got the constrains: z=0 r=a , so the whole problem is on a simple ring

    How can I make the 3D PDE just 1D in teta?
    Can I use the Laplasian in cylindrical coordinates, and throw away the d/dr and d/dz?

    I hope someone can help me.
     
  2. jcsd
  3. Jul 24, 2005 #2
    Without separation of variables (which I know you don't wanna do), I don't see a way.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook