1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solving Non-Homogeneous Heat Equation

  1. Oct 30, 2013 #1
    1. The problem statement, all variables and given/known data
    http://img546.imageshack.us/img546/4529/ztlg.png [Broken]


    3. The attempt at a solution
    I just want to know if I can use the following partial solution of another problem to get me to the point where I no longer have the [itex]u[/itex] term on the right side of the heat equation. The difference between my problem and the one below is that the boundary conditions are equal to zero, whereas one of mine isn't.

    http://img819.imageshack.us/img819/803/x665.png [Broken]

    Using the above partial solution, I was able to transform the original PDE to the following:

    [itex]w_{t} = w_{xx}[/itex]
    [itex]w(0,t) = 0, w(1,t) = e^{-t}[/itex]
    [itex]w(x.0) = 0[/itex]

    where [itex]u(x,t) = e^{-t}w(x,t)[/itex]

    I would just like to know if the above transformation is correct before I go ahead with homogenizing the boundary conditions.
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted