MathGroup Archive 1999

[Date Index] [Thread Index] [Author Index]

Search the Archive

telling DSolve to satisfy boundary conditions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16013] telling DSolve to satisfy boundary conditions?
  • From: kenton at leland.Stanford.EDU (Kenton K. Yee)
  • Date: Sat, 20 Feb 1999 02:52:04 -0500
  • Organization: Graduate School Of Business, Stanford University
  • Sender: owner-wri-mathgroup at wolfram.com

Is it always possible to solve a second order pde on
a compact set for any set of boundary conditions?

For instance, I am interested in the following pde:

  v=v[c,f]
  v,cc  +  ( R f + c - Q ) v,f  -  n c v,c  - R v = 0

on the region   0 < c
                0 < f0 < f
with the boundary condition v[c,f0] = 1  (for all c).

DSolve finds a couple of nice
general solutions for v[c,f] but none of them 
satisfies v[c,f0] = constant.

Any suggestions?
kenton at stanford.edu





  • Prev by Date: Re: Strange result of Limit function in Mathematica3.0
  • Next by Date: Re: Simple recursive assignment
  • Previous by thread: A new general-purpose interactive front end
  • Next by thread: Change Rank in Compile