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Re: Multiple Shooting Method

  • To: mathgroup at smc.vnet.net
  • Subject: [mg95788] Re: Multiple Shooting Method
  • From: majidpensy at gmail.com
  • Date: Tue, 27 Jan 2009 06:59:30 -0500 (EST)
  • References: <gl1btl$9fq$1@smc.vnet.net> <gl1ol2$dpn$1@smc.vnet.net>

On Jan 20, 4:57 pm, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
wrote:
> Hi,
>
> the algorithm compute the intermediate values and you just need
> a estimate, may be from a first run of the initial value solver
> over the full interval.
>
> Regards
>    Jens
>
>
>
> SK wrote:
> > On Jan 19, 6:37 am, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
> > wrote:
> >> Hi,
>
> >>http://en.wikipedia.org/wiki/Direct_multiple_shooting_method
>
> >> ??
>
> >> Regards
> >>    Jens
>
> > I have seen the wiki on the direct multiple shooting method but it
> > requires guessing the intermediate values between the boundary points
> > which I cant do. An example of this in Mathematica would help greatly.
>
> >> SK wrote:
> >>> Hi
> >>> My linear forward shooting method does work but my system of equation=
s
> >>> is highly nonlinear and it does not converge on the right boundary
> >>> condition for certain parameters.
> >>> I suspect that if I use a multiple shooting algorithm it will
> >>> alleviate this problem. I cant find an algorithm or mathematica
> >>> example for this method. Can someone outline the basic algorithm for
> >>> me?
> >>> Thanks
> >>> S- Hide quoted text -
>
> - Show quoted text -

Please send your equations to me I will try to solve these equations
with
1. Homotopy analysis method
2. Homotopy Perturbation method
3. Adomian decomposition method
4. Modified Adomian decomposition method
5. Variational Itarative method
6. Shooting method



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