[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
## Re: can i do ODE2 problems with lsode ?

**From**: |
Przemek Klosowski |

**Subject**: |
Re: can i do ODE2 problems with lsode ? |

**Date**: |
Fri, 01 Dec 1995 12:39:58 -0500 |

Here is the function that i want to try and solve first, since i
think it is a "simple" example of what comes in the real stuff.
d^2 x dx
----- + lambda*( x^2 - 1 )* -- + x = 0
dt^2 dt
my problem is that this is a 2nd order eq and lsode looks like it only
wants 1rst order eq's.
Now, i *thought* that any nOrder ode can be represented as an
Nsystem of 1rst order diffeq's.
It is fairly trivial, and I am sure it must be covered somewhere in these
texts: you simply introduce a pseudo-independent variable y = dx/dt
and reformulate your equations as
d ( x ) ( y )
-- ( ) = ( )
dt ( y ) ( lambda * (x^2-1)*y + x )
(a 2-D non-linear first-order equation).

[Prev in Thread] |
**Current Thread** |
[Next in Thread] |

**Re: can i do ODE2 problems with lsode ?**,
*Przemek Klosowski* **<=**