Results 1 to 2 of 2

Math Help - laplacian

  1. #1
    Junior Member
    Joined
    Sep 2008
    From
    Wilmington NC
    Posts
    30

    laplacian

    find the solution of laplaces eqtn
    uxx+uyy=0
    (the equation is actually the upside down triangle operator, but i believe this is the same notation)
    inside a sphere of radius 1 with B.C. u=z^2 for r=1
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Nov 2008
    Posts
    12
    I would be tempted to try to define the sphere in spherical polar co-ordinates, so you have the surface (ie where the radius is one) defined by two varying angles. Then rewrite Del^2 u as its equivalant for the two angles, bang in the boundary condition and see where it takes you. I will see if it works tommorow and learn latex at the same time!

    Also if its applied to a sphere ie a 3d shape, i would have thought u=u(u,v,w) thus Del^2 (u) would be " uxx + uyy + uzz = 0 "
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. computing laplacian
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: January 12th 2012, 12:06 PM
  2. Laplacian Graphs
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: October 28th 2010, 10:20 PM
  3. Laplacian of Ax = A Laplacian of x
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: September 18th 2010, 08:37 PM
  4. Graph Laplacian
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: March 24th 2010, 02:15 PM
  5. laplacian
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: November 19th 2009, 04:36 PM

Search Tags


/mathhelpforum @mathhelpforum