Green's Function

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This Demonstration shows the graphic of the Green's function related to the linear differential equation of order , , , or ,

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,

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 .

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Contributed by: Alberto Cabada, José Ángel Cid, and Beatriz Máquez-Villamarín (October 2011)

Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference

[1] E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, New York-Toronto-London: McGraw–Hill, 1955.



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