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MathGroup Archive 2000

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Re: Sturm-Liouville Problem (differential equation eigenvalue problem)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg21913] Re: Sturm-Liouville Problem (differential equation eigenvalue problem)
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 4 Feb 2000 02:54:43 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <86r7p8$ba0@smc.vnet.net> <8710uh$a6b$6@dragonfly.wolfram.com> <87b03a$o2f@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

why not ? 

v[x]==u[x]+va+(vb-va)*(x-x0)/(xe-x0)

It changes the form of differential equationfor v[x] thats right,
but it is more important to have homogen boundary conditions.
You can still try other functions when the transformed differential
equation becomes easyer.

Regards
  Jens

Andrew wrote:
> 
> Jens-Peer Kuska <kuska at informatik.uni-leipzig.de> wrote in message
> news:8710uh$a6b$6 at dragonfly.wolfram.com...
> > Hi Andrew,
> >
> > a) if you have inhomogen boundary conditions like
> >    u[a]=va and u[b]=vb you *must* transform the
> >    equation to get homogen boundary conditions
> >    Otherwise you can't determine the eigenvalue.
> 
>     Who know the method of the *transformation*
>     Y=u(x) + Kx + K0 can not work, right?


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