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Green’s Functions Computation

Alberto Cabada
Organization: University of Santiago de Compostela
Department: Mathematical Analysis
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


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.

Some particular cases are posted at the Demostration Project web page:

The Mathematica program is available at the web pages

We have a tutorial for users

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

Green's function, Ordinary Differential Equations, Maximum Principles
Downloads Download Wolfram CDF Player

GFC-tutorial.pdf (1.7 MB) - PDF Document
GFC.nb (31.5 KB) - Mathematica Notebook