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This Mathematica package provides a tool valid for calculating the explicit expression of the Green’s function related to a nth – order linear ordinary differential equation, with constant coefficients, coupled with two – point linear boundary conditions.
The algorithm developed in the package has been published in the paper
Cabada, Alberto; Cid, José Ángel; Máquez-Villamarín, Beatriz Computation of Green's functions for boundary value problems with Mathematica. Appl. Math. Comput. 219 (2012), no. 4, 1919–1936.
It also appears in the book
Cabada, Alberto; Green's Functions in the Theory of Ordinary Differential Equations" SpringerBriefs in Mathematics, 2014, XIV, 168 p.
http://www.springer.com/mathematics/dynamical+systems/book/978-1-4614-9505-5
Some particular cases are posted at the Demostration Project web page:
http://demonstrations.wolfram.com/GreensFunction/
The Mathematica program is available at the web pages
http://webspersoais.usc.es/persoais/alberto.cabada/en/materialinves.html
http://webs.uvigo.es/angelcid/Other_Papers.htm
We have a tutorial for users
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