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Shooting Problem

• To: mathgroup@smc.vnet.net
• Subject: [mg10472] Shooting Problem
• From: Alex Tabarrok <00attabarrok@bsuvc.bsu.edu>
• Date: Fri, 16 Jan 1998 04:34:57 -0500
• Organization: Ball State University

Hello,
       I have a system of two differential equations, k'[t] and c'[t]. 
In the problem I am working with I know the initial condition for k,
k[0]=a and I know a steady state or boundary condition k[sometime]=b. 
The problem is to choose c[0] so that k[t] arrives (sometime) at point
b (which is a steady state).  In puttering around with this problem
I've been use NDSolve to generate paths beginning at k[0]=a and c[0]=x.
Then  by trial and error I vary x until I have a path such that
k[sometime] reaches b or very near b.  Obviously, I would like an
interative procedure to do this automatically.  Has anyone written such
a procedure already?  I beleive this method of solving this type of
problem is called the shooting method.

Thanks
-- 
Alex Tabarrok
Department of Economics
Ball State University
Muncie, IN, 47306
EMail: 00ATTabarrok@BSUVC.BSU.Edu
Web Page: http://www.bsu.edu/econ then hit Faculty and then Tabarrok