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Coupled First order PDEs

  1. Dec 1, 2004 #1
    I am looking for a method to solve coupled first order PDEs in following
    form:

    [tex]
    \frac {\partial u1} {\partial x} = f(x,t,u1,u2)
    [/tex]

    [tex]
    \frac {\partial u2} {\partial t} = g(x,t,u1,u2)
    [/tex]

    Subject to prober BC and IC. and consider:

    [tex]
    u1=F(x,t)
    [/tex]
    [tex]
    u2=G(x,t)
    [/tex]

    I am looking for both numerical and analytical methods. Please note F and G are both nonlinear and I am not sure if we could find an analytical solution. The method of characteristics can give us a solution for quasi linear and linear sets.

    /Mohmmad
     
  2. jcsd
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