Re: elliptic equation solved with 2 boundaries
- To: mathgroup at smc.vnet.net
- Subject: [mg43372] Re: [mg43294] elliptic equation solved with 2 boundaries
- From: "Ferdinand.Cap" <Ferdinand.cap at eunet.at>
- Date: Wed, 27 Aug 2003 04:04:59 -0400 (EDT)
- References: <59B6E8F2-D7C3-11D7-8F9B-000393671006@earthlink.net>
- Reply-to: ferdinand.cap at eunet.at
- Sender: owner-wri-mathgroup at wolfram.com
Hi, Thank you for your interest in my notebook. The LAPLACE equation has complex characteristics and is therfor called an elliptic partial differential eqatiuon. The theory of boundary value problems (Table 1.1. on page 14 in the book mentioned in the notebook )shows that an elliptic partial differential equation can only satify one boundary value probblem. My notebokk demonstrates that under special conditions also 2 boundary value problems can be satisfied - run the notebook! Due to the approoximation method -variational calculus - the LAPLACIAN is not zero, but numerically small F.C Selwyn Hollis wrote: > CAP F, > > What elliptic equation is this function suppose to solve? It's > Laplacian is definitely not zero. > > ----- > Selwyn Hollis > http://www.math.armstrong.edu/faculty/hollis > > On Saturday, August 23, 2003, at 08:09 AM, CAP F wrote: > > > (************** Content-type: application/mathematica ************** > > > > Mathematica-Compatible Notebook > > > > This notebook can be used with any Mathematica-compatible > > application, such as Mathematica, MathReader or Publicon. 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