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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   




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