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Math Help - PDE with Robin boundary condition

  1. #1
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    PDE with Robin boundary condition

    Hi guys,
    I am trying to solve this equation, but I have problem with the second boundary condition. I am trying to use combination of variables but it wont work. Could you please give me some hints about how to tackle this problem, using any solving method.

    (∂^2 T)/(∂x^2 )=1/∝ ∂T/∂t
    IC: T(x,0) = Ti
    BC1: T(x→∞, t) = Ti
    BC2: -k ∂T/∂x|x=0 =h[T∞-T(0,t)]

    Thank you
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  2. #2
    MHF Contributor
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    Re: PDE with Robin boundary condition

    If you are on an infinite domain, use a Fourier Transform.
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