*To*: mathgroup@smc.vnet.net*Subject*: [mg10526] Re: [mg10472] Shooting Problem (fwd)*From*: WOLKOWISKY JAY H <wolkowis@euclid.Colorado.EDU>*Date*: Tue, 20 Jan 1998 02:23:13 -0500

Forwarded message: From: WOLKOWISKY JAY H <wolkowis@euclid.Colorado.EDU> To: mathgroup@smc.vnet.net Subject: [mg10526] Re: [mg10472] Shooting Problem MIME-Version: 1.0 Content-Transfer-Encoding: 7bit Content-Type: text/plain; charset=US-ASCII Content-Length: 1359 > > 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 > > Hi, I've written a paper which is about the "shooting method" with Mathematica. It is: "Shooting the Buckled Plate" Innovation in Mathematics, Proceedings of the Second International MATHEMATICA Symposium,Editors: V. Keranen, P.Mitic,A.Hietamaki,1997.P507-515. Jay H. Wolkowisky Dept. of Mathematics University of Colorado Boulder, CO 80309 email: wolkowis@euclid.colorado.edu