Re: Re: NDSolve error: "Cannot find starting value for the variable x"
- To: mathgroup at smc.vnet.net
- Subject: [mg40543] Re: [mg40493] Re: [mg40475] NDSolve error: "Cannot find starting value for the variable x"
- From: Ferdinand <ferdinand.cap at eunet.at>
- Date: Wed, 9 Apr 2003 20:27:26 -0400 (EDT)
- References: <F42966A0479AD4118AE6009027D08CEB05EFEFA7@dlpcexch02.ncsc.navy.mil>
- Reply-to: ferdinand.cap at eunet.at
- Sender: owner-wri-mathgroup at wolfram.com
Thank you Jerry for the info. Actually, I found my book at Amazon: ISBN 154884029. IT IS THERE. Thanks for your adivce to send contents: 1.Introduction, 4 sections, pp- 1-22 2.Boundary [rpblems of ordinary diff eq pp 27-80 3.partial diff eq. 91-126 4. Boundary value problesm with one cloded boundary pp 137-223 5.Boundary problems with two cloed boundaaries 241-279 6.Nopnllinear b.p. 285-310 Appendix Mathematica commands and tips,Indexes The home page: www.crcpress.com contains a description. Greetings F.C. Blimbaum Jerry DLPC wrote: > Ferdinand... > > Whenever I see math and physics books that include Mathematica i always get > curious...so i went to the Amazon website hoping to check your book out, > etc...sometimes what you can do with books is look at the Table of Contents > to get a feel for the book, etc...if you want to advertise your book , you > might share the Table of Contents and perhaps some of the special topics you > might have covered...what i'm asking for are reasons that i should consider > buying it...thank you... > > jerry blimbaum > > -----Original Message----- > From: CAP F [mailto:Ferdinand.Cap at eunet.at] To: mathgroup at smc.vnet.net > Sent: Tuesday, April 08, 2003 2:03 AM > To: mathgroup at smc.vnet.net > Subject: [mg40543] [mg40493] Re: [mg40475] NDSolve error: "Cannot find starting > value for the variable x" > > [mg40475] NDSolve error > Dear Joseph, > For a boundary value problem only one single differential equation of n-th > order is supported by NDSolve, not a system of several equations. Try to use > a > shooting method, see page 62 of my textbook: > "Mathematical Methods in Physics and Engineering with Mathematica, CRC > Press, > 2003, > ISBN 1584884029 > Greetings F. Cap Ferdinand.Cap at eunet.at > > > I'm trying to use NDSolve to solve a coupled system of differential > > equations (total differential order of 5) with 5 given initial conditions. > > I've gotten the error "Cannot find starting value for the variable x", > which > > I had thought one only got if the highest derivative of one of the initial > > conditions was higher than in the system of equations. However, my > > highest-order initial condition is only a first derivative, so I don't > > believe this is the case. > > > > Can anyone help me solve this? > > > > Thanks, > > > > Joe Jewell > > jjewell at caltech.edu > > > > NDSolve[{ > > f'''[x] + 3f[x]*f''[x] - 2(f'[x])^2 + T[x] == 0, > > T''[x] + 3*1000*f[x]T'[x] == 0, > > f[0] == f'[0] == 0, > > T[0] == 1, > > T[\[Infinity]] == 0, > > f'[\[Infinity]] == 0 > > }, {f, T}, {x, 0, 10}]