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Green’s Functions Computation
Authors

Alberto Cabada
Organization: University of Santiago de Compostela
Department: Mathematical Analysis
URL: http://webspersoais.usc.es/persoais/alberto.cabada/en/index.html
José Ángel Cid
Organization: University of Vigo
Department: Department of Mathematics
Beatriz Máquez-Villamarín
Organization: University of Santiago de Compostela
Department: Department of Mathematical Analysis
Revision date

2014-01-28
Description

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
Subjects

*Applied Mathematics
*Mathematics > Calculus and Analysis
*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Green's function, Ordinary Differential Equations, Maximum Principles
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GFC-tutorial.pdf (1.7 MB) - PDF Document
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GFC.nb (31.5 KB) - Mathematica Notebook