formulation of nonlinear coupled differential equns

Discussion in 'MATLAB' started by shail, Dec 7, 2004.

  1. shail

    shail Guest

    Hi all!

    I have following set of nonlinear coupled differential equations.
    Summation means the symbol summation in mathematics.

    dPf(k)/dz=-alpha*Pf(k)-gamma*Pb(k)+Summation (from j=1 to
    N)gammar(k,j)*Pf(j)*Pf(k)
    .....(1)
    dPb(k)/dz=-alpha*Pb(k)-gamma*Pf(k)+Summation (from j=1 to
    N)gammar(k,j)*Pb(j)*Pb(k)
    ......(2)

    dPasef(k)=-alpha*Pasef(k)+summation(j=1:N)gammar(j,k)*Pf(k)*[Pasef(k)+
    2*h*v*(1+H(j,k))]
    ......(3)

    dPaseb(k)=alpha*Paseb(k)-summation(j=1:N)gammar(j,k)*Pb(k)*[Paseb(k)+2
    *h*v*(1+H(j,k))]
    ........(4)

    alpha, gamma, gammar, h, v, H(j,k) are constants.

    k=1,2,3,...N

    CAN SOMEONE HELP ME IN FORMULATING THIS SET OF DIFFERENTIAL EQUATIONS
    WHICH I HV TO SOLVE BY RUNGE-KUTTA METHOD.

    I SHALL BE GRATEFUL FOR YOUR HELP AND COOPERATION.

    A FAST RESPONSE WILL BE HIGHLY APPRECIABLE.

    THANKS IN ADVANCE!

    regards,

    shailendra
     
    shail, Dec 7, 2004
    #1
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