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Math Help - [SOLVED] Boundary conditions

  1. #1
    NYC
    NYC is offline
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    Post [SOLVED] Boundary conditions

    Hi
    I have the heat equation

    \frac{\partial u}{\partial \tau}=\frac{\partial^2 u}{\partial x^2}

    where -infinity< x <infinity
    and tau>0

    with u(x,0)=H(x) the heavyside function

    and I'm looking for a solution of the form u(x, tau)=U(y) where y=x/sqrt of tau.

    How do the boundary conditions become
    U(-infinity)=0
    and
    U(infinity)=0

    I did something and got 1/0!! maybe limits are needed? Thanks for any help
    Last edited by Jester; May 18th 2010 at 07:01 AM.
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  2. #2
    NYC
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    ok so my attempt at latex didnt work. any ideas why?
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