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How do I use RungeKutta 4/shooting method for this problem?

  1. Apr 23, 2005 #1
    X''[T]=K (1-L) sinB
    Y''[T]=K (1-L) cosB -1
    X[T]=sinB0+L sinB
    Y[T]=-cosB0+L cosB

    Boundary conditions (B0, U, V are constants)
    L[0]=L[End]=1
    B[0]=-B0, B[End]=B0
    X'[0]=X'[End]=U
    Y'[0]=-V, Y'[End]=V

    I dont know how to set up RungeKutta for this? Please help if you can.
    Thx,
     
    Last edited: Apr 23, 2005
  2. jcsd
  3. Apr 24, 2005 #2
    Your notation/equations confuse me. Are B and L functions of T? What is K? And is there a physical meaning to your problem/equations?
     
  4. Apr 25, 2005 #3
    [0] y' = f(t,y) (1st order) is what RK4 solves as a system.(multiple equations)
    [1] y" = f(t,y,y') (2nd order)is what you have.
    [2] your eq'ns can be arranged to be independent set(x,y independent of each other)

    step1->make the 2 independent systems
    step2->you need to convert these 2 systems of 2nd Order into 1st order systems.
    step3->then you use RK4 on all the equations you have. Should be 2 systems of 2eq'n = 4.


    RK4 is a summation series so your B.Cs will give the limits to which you some over.

    need more help "www.mathworld.com" greatest site ever =]
     
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