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

U_t = div(A\nabla u)

  1. Nov 5, 2009 #1
    Can someone offer some help on this?

    I have this diffusion equation:
    u_t = div(A\nabla u)
    where A is a 2 by 2 matrix, i.e. it's anisotropic.

    I am not sure how I should properly discretize this and solve it numerically. I used simply central difference but it does seem work nicely.

    Any help will be greatly appreciated.
  2. jcsd
  3. Nov 11, 2009 #2
    Re: discretization

    Try finite elements instead. You will only need first derivatives, and the discretization works better
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook