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!

Homework Help: PDE for IVP on R for a transport equation

  1. Jul 16, 2013 #1
    Hi guys, I'm having trouble with a homework problem:

    I will have to solve for the IVP of a transport equation on R:

    the equations are:

    Ut-4Ux=t^2 for t>0, XER
    u=cosx for t=0, XER

    I've actually never seen a transportation problem like this and any help would be greatly appreciated, thank you!
  2. jcsd
  3. Jul 16, 2013 #2
    Have you learned about the method of characteristics? Suppose the right hand side were zero. Would you be able to solve the problem then?

  4. Jul 16, 2013 #3


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    To eliminate the RHS, consider U = V(x, t) +T(t) where V satisfies the homogeneous equation and the same boundary condition.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted