Partial Differential Equation

Thread View: sci.math.num-analysis

1 messages

[T] Back to Threads [V] Tree View [G] Group Articles

1 total messages Started by luk Fri, 17 Apr 1992 03:19

#308

Author: luk
Date: Fri, 17 Apr 1992 03:19

18 lines
1056 bytes

Not familiar with elliptic partial differential equation...wondered if 
there is code for solving eignevalue/eigenfunction of elliptic PDE. 

P[\phi(x,y)]=E \phi(x,y)   in the region 0<x<x0, and 0<y<y0. E is eignevalue 
with eigenfuction \phi(x,y). P differential operator defined by 

P=(\partial_{x,x} + \partial_{y,y})+ a*(x* \partial_{y} -y* \partial_{x})+
  b*(x**2+y**2)

where a, b are constant
with boundary condition \phi(x,y)=0 for x=0, x=x0, y=0, and y=y0.

Ideally, I am looking for exact solution. However, I am no longer optimistic 
there is exact solution. I also realize NAG lib(mark 13 version) has a general 
routine for solving elliptic PDE, but it does not solve the
eigenvalue/eigenfuntion problem...
Any help or suggestion...

Thread Navigation

This is a paginated view of messages in the thread with full content displayed inline.

Messages are displayed in chronological order, with the original post highlighted in green.

Use pagination controls to navigate through all messages in large threads.

Back to All Threads