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About solving Transport PDE

  1. Dec 24, 2008 #1
    Here's my question, friends

    I have to define initial and boundary condition for a transport PDE: u_t+x(1-x)u_x=0
    with x and t is between [0,1], to solve this equation, what kind of numerical method
    and boundary condition do you recommend and why?

    What kind of numerical error do you expect?

    Detailed explanation will be appreciated in advance.
     
  2. jcsd
  3. Dec 27, 2008 #2
    Hi , How do you do ?

    you can try this answer.

    u=f(lnx -ln(1-x)-t) ln() for natural log.

    The method is here
    http://en.wikipedia.org/wiki/Method_of_characteristics" [Broken]


    -----
    ROC(Taiwan) is not PRC.

    http://en.wikipedia.org/wiki/Taiwan" [Broken]
    -----
     
    Last edited by a moderator: May 3, 2017
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