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Method of characteristics

  1. Jun 20, 2011 #1
    1. The problem statement, all variables and given/known data

    For the given PDE:

    [itex]\partial_t u+\frac{1}{2}\partial_x u=0[/itex]



    [itex]u(x,0)=x\;;\;0\leq x\leq2[/itex]



    3. The attempt at a solution

    Characteristic equations give :



    Which,on the (x,u) graph would look something like:


    Is this correct?

    The next thing i have to do is to find the solution to it via Lax-Wendroff scheme,but i won't be bothering anyone with that :)

    Attached Files:

  2. jcsd
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