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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
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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
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