10657
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Green's Function
This Demonstration shows the graphic of the Green's function
related to the linear differential equation of order
,
,
, or
,
,
where
and with the following linear boundary conditions:
: periodic:
, initial:
, or final:
;
: periodic:
, Dirichlet:
or Neumann:
;
: periodic:
;
: periodic:
, simply supported beam:
, or clamped beam
.
The solution of the boundary value problem (differential equation and boundary conditions) is given by
.
In the code, the expression for the corresponding Green's function is given for an arbitrary interval
.
Contributed by:
Alberto Cabada
,
José Ángel Cid
, and
Beatriz Máquez-Villamarín
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] E. A. Coddington and N. Levinson,
Theory of Ordinary Differential Equations
, New York-Toronto-London: McGraw–Hill, 1955.
RELATED LINKS
Green's Function
(
Wolfram
MathWorld
)
PERMANENT CITATION
Alberto Cabada
,
José Ángel Cid
, and
Beatriz Máquez-Villamarín
"
Green's Function
"
http://demonstrations.wolfram.com/GreensFunction/
Wolfram Demonstrations Project
Published: October 3, 2011
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Boole Differential Equation with Continued Fractions
Andreas Lauschke
Green's Functions for Diffusion
Brian Vick
Euler's Method for the Exponential Function
Arnaud Crouzet
Approximate Solutions of a Functional Differential Equation
Oleg Kravchenko
Predator-Prey Dynamics with Type-Two Functional Response
Wilfried Gabriel
The Murder Mystery Method for Identifying and Solving Exact Differential Equations
José Luis Gómez-Muñoz, Roxana Ramírez-Herrera, Jezahel Lara-Sandoval, and Edgar Fernández-Vergara
Cyclic Functions under Differentiation
William Perry
Green's Functions with Reflection Conditions
Alberto Cabada, José Ángel Cid, F. Adrián F. Tojo, and Beatriz Máquez-Villamarín
Soap Film between Two Equal and Parallel Rings
S. M. Blinder
Trawler Problem
John Snyder
Related Topics
Calculus
Curves
Differential Equations
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+