Re: Shooting method
- To: mathgroup at smc.vnet.net
- Subject: [mg120974] Re: Shooting method
- From: Alois Steindl <Alois.Steindl at tuwien.ac.at>
- Date: Sat, 20 Aug 2011 06:15:35 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <j2lea0$nfl$1@smc.vnet.net>
Hello, it is possible to specify initial guesses to the shooting method and you should really do it. Nonlinear differential equations can exhibit quite nasty behaviour - in your example it might happen, the the solutions grow to infinity in your integration interval. Even if the solution starting at the prescribed initial guess remains bounded, the next iterated could run off. Also the shooting method is often a source of trouble, especially if the system possesses unstable trajectories; so it is usually very important to provide a very good initial approximation to get any solution at all. Alois -- Alois Steindl, Tel.: +43 (1) 58801 / 32558 Inst. for Mechanics and Mechatronics Fax.: +43 (1) 58801 / 32598 Vienna University of Technology, A-1040 Wiedner Hauptstr. 8-10