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Homework Help: Help needed for solving BVP for a system of ODEs

  1. Apr 20, 2010 #1
    1. The problem statement, all variables and given/known data

    I have a problem in solving a system of two ODEs for BVP

    1. Pb is function of X & A
    2. A is a function of X,Pb,A
    3. BCs are
    X = 1, Pb = 0, A = 0.441
    X = 0, Pb = 0
    Q is a variable to achieve the other end BC
    I have tried to use ODE solvers in matlab. But I couldnt get proper results by considering it as IVP.

    2. Relevant equations

    dPbdX = (-(1.6+0.2*X^2)/(1.6+0.4*X^2)*(sqrt(3)*(1-A)^2)-Q)*(0.3/(sqrt(3)*(sqrt(3)*(1-A)^2)^2))
    dAdX = (0.4*X*(((2-(1-A)*Pb)/A)-Pb)*(-0.86*A^2+0.345*A+0.515))/((0.08+0.02*X^2)*(2-(((2-(1-A)*Pb)/A)-Pb)*(1/(2.571-A-A*ln(1-A)))))

    How to use Shooting method for this problem?

    I would appreciate for giving me a helping hand to solve this problem.
     
    Last edited: Apr 21, 2010
  2. jcsd
  3. May 20, 2010 #2
    Problem solved using IVP solving procedure and shooting method
     
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