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

Help with solving PDE

  1. Dec 27, 2009 #1
    Hi:

    I have the following PDE:

    ytzz=yzzzz+delta(t)

    With I.C.: t=0, y=0; and B.C.s: z=0, y=0,yzz=0; z=-x,y=0,yz=0

    Can someone show me how to solve it?

    Kevin
     
  2. jcsd
  3. Dec 27, 2009 #2

    Astronuc

    User Avatar
    Staff Emeritus
    Science Advisor

  4. Dec 27, 2009 #3
    Yes, it is δ(t). The one is very similar to the previous one. After taking Laplace transform in t, this one will become the previous one. If I use the method pointed by other people, I have hard time to convert back (inverse Laplace transform) to time domain. That's why I ask the question again.

    Kevin
     
  5. Dec 27, 2009 #4

    Astronuc

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes - if one uses the Laplace Transform (which takes an equation from time domain to frequncy domain) then I believe it is the same problem. I'm expecting the problem is separable, i.e. Y(z,t) = Z(z)T(t). See if that works.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook