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