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System of 1st Order PDEs - Method of Lines

  1. Jan 12, 2009 #1
    1. The problem statement, all variables and given/known data

    6 1st order, nonlinear PDEs in one space and one time variable.
    6 variables are function of space and time: a, b, c, d, e f

    2. The attempt at a solution
    Method of lines - Discretize in space. Turns system of PDEs into a much larger system of ODEs. The time term remains untouched (not discretized). Solve the ODEs using Matlab solver, ode15s.

    3. Roadblock
    Two of the equations do not have time-dependent derivatives in them. How do I enforce this?
  2. jcsd
  3. Jan 15, 2009 #2


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    Gold Member

    You didn't give us these two differential equations, or, in fact any of the other equations, that makes it a bit hard to offer help.
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