Green Functions: Solving Inhomog. ODE's with Ease

  • Context: Graduate 
  • Thread starter Thread starter robousy
  • Start date Start date
  • Tags Tags
    Functions Green
Click For Summary

Discussion Overview

The discussion centers around the advantages of using Green Functions to solve inhomogeneous ordinary differential equations (ODEs). Participants explore the concept's theoretical implications and practical applications.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • Some participants propose that the principal advantage of Green Functions is their portability, allowing the same Green's function to be used for different source terms in inhomogeneous differential equations.
  • A participant questions whether the source term corresponds to the right-hand side (RHS) of the equation, which is confirmed by another participant as the standard convention.

Areas of Agreement / Disagreement

Participants generally agree on the portability of Green Functions, but the discussion remains open regarding other potential advantages and applications.

Contextual Notes

The discussion does not delve into specific mathematical formulations or examples of Green Functions, nor does it address any limitations or assumptions related to their use.

robousy
Messages
332
Reaction score
1
What is the advantage of using Green Functions to solve inhomog. ODE's?
 
Physics news on Phys.org
I think that its principal advantage lies in its portability. If you get the Green's function for a particular configuration of a system, then that same Green's function can be used no matter what the source term is in the inhomogeneous DE.
 
Tom Mattson said:
I think that its principal advantage lies in its portability. If you get the Green's function for a particular configuration of a system, then that same Green's function can be used no matter what the source term is in the inhomogeneous DE.


The source term corresponds to the RHS of the equation right?

(In general)
 
That's the standard convention, yes.
 
Ok, thanks for clearing that up for me!
 

Similar threads

Graduate Green's function for Sturm-Louiville ODE
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Toy problem to motivate the idea of advanced Green's functions
  • · Replies 0 ·
Replies
0
Views
3K
Undergrad Green's function for 2-D Laplacian within square/rectangular boundary
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Understanding relationship between heat equation & Green's function
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Green's function for Stokes equation
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Circuit ODE with multiple short voltage impulses
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Inverse ODE, Green's Functions, and series solution
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Converting Second Order ODE to Hypergeometric Function
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Green's function for the wave equation
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad A somewhat conceptual question about Green's functions
  • · Replies 6 ·
Replies
6
Views
2K