The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.num-analysis

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Non-homogeneous Dirichlet boundary condition in an eigenvalue

Replies: 1   Last Post: Apr 9, 2013 6:24 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View  

Posts: 35
Registered: 8/22/09
Re: Non-homogeneous Dirichlet boundary condition in an eigenvalue

Posted: Apr 9, 2013 6:24 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Fri, 5 Apr 2013 15:30:30 -0700 (PDT), Mengqi Zhang
<> wrote:
> Hi All,
> I know that in using spectral method to solve the eigenvalue
> problem, if the boundary condition for eigenfunction is
> homogeneous Dirichlet type (i.e., u(+1)=u(-1)=0), we will just
> delete the first and last rows and columns.
> But what if the boundary condition is non-homogeneous Dirichlet
> type? Say to solve the eigenfunction of D^2 with the boundary
> condition u(+1)=1 and u(-1)=0.
> Remember that we are in a eigenvalue problem, which is here D^2
> u = lambda u.

Decompose your problem into pair of functions:
where u0 is arbitrary and has to satisfy non-homogeneous b.c.
and v is sought and has to satisfy homogeneous b.c.



adres w rot13
Nyrxfnaqre Znghfmnx

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.