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Systems of Nonlinear Differential Equations

  1. Sep 4, 2009 #1
    Hi,
    I trying to solve a system of Nonlinear Differential Equations.
    I'm using Runge-Kutta on the Differential equations and Newton Method
    for the system. I have some doubts in how to create the JAcobian to the
    differential equations.

    Could somebody help me, please?
    Thank you,
    Aline
     
  2. jcsd
  3. Sep 4, 2009 #2
    What are the equations? Hard to help when there are no equations.

    Thanks
    Matt
     
  4. Sep 4, 2009 #3
    I have in my system a equation like this:

    [tex]\frac{dy}{dx}[/tex]=[tex]\sum\frac{By}{M1}[/tex]

    B and M1 are constats.

    When I apply the Runge-Kutta I have:

    y[tex]_{i}[/tex]=y[tex]_{i-1}[/tex]+[tex]\frac{h}{6}[/tex](k1+2k2+2k3+k4)

    My doubt is: How do I incert this in the equation of the system to build the Jacobian?

    Thaks,
    Aline
     
  5. Sep 4, 2009 #4
    Before discuss my question I have to learn how to post using the Latex.
    Do you know why this happened?
     
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