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Computation of Green’s functions for boundary value problems with Mathematica

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
Journal / Anthology

Applied Mathematics and Computation
Year: 2012
Volume: 219
Page range: 1919-1936

This paper is devoted to construct an algorithm that allows us to calculate 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. We develop this algorithm by making a Mathematica package.

*Applied Mathematics
*Applied Mathematics > Computer Science

Green’s function, Boundary value problem