- #1
Madz
- 3
- 0
Hi,
Can anyone please tell me how to go about solving this system of coupled ODEs.?
1) (-)(lambda) + vH''' = -2HH' +(H')^2 - G^2
2) vG'' = 2H'G - 2G'H
lambda and v are constants.
And the boundary conditions given are
H(0) = H(d) = 0
H'(0) = omega * ( c1 * H''(0) + c2 * H'''(0) )
G(0) = omega * ( 1 + c1*G'(0) + c2*G''(0) )
H'(d) = omega * ( c3 * H''(d) + c4 * H'''(d) )
G(d) = omega * ( c3 * G'(d) + c4 * G''(d) )
... c1,c2,c3,c4,omega are constants
-Maddy.
Can anyone please tell me how to go about solving this system of coupled ODEs.?
1) (-)(lambda) + vH''' = -2HH' +(H')^2 - G^2
2) vG'' = 2H'G - 2G'H
lambda and v are constants.
And the boundary conditions given are
H(0) = H(d) = 0
H'(0) = omega * ( c1 * H''(0) + c2 * H'''(0) )
G(0) = omega * ( 1 + c1*G'(0) + c2*G''(0) )
H'(d) = omega * ( c3 * H''(d) + c4 * H'''(d) )
G(d) = omega * ( c3 * G'(d) + c4 * G''(d) )
... c1,c2,c3,c4,omega are constants
-Maddy.