1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook