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Green's Functions with Reflection

F. Adrián F. Tojo
Organization: University of Santiago de Compostela
Department: Mathematical Analysis
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


The program Green's Functions with Reflection computes the Green's function of a boundary value problem given by a linear nth-order differential equation with reflection and constant coefficients with any kind of two-point boundary conditions.

The algorithm employed to reduce the problem to an ODE is described in [1], while the part of the algorithm meant to solve such ODE appears in [2].

[1] Cabada, A.; Tojo, F. A. F. An algebraic method of obtaining the Green’s function for some reducible functional differential equation, arXiv preprint arXiv:1411.5507. (avaliable at http://arxiv.org/pdf/1411.5507v1.pdf)

[2] Cabada A., Cid, J. A., Máquez-Villamarín, B.: Computation of Green's functions for Boundary Value Problems with Mathematica, Applied Mathematics and Computation. 219:4, 1, 1919–1936 (2012). (available at http://www.sciencedirect.com/science/article/pii/S0096300312008284)

*Mathematics > Calculus and Analysis > Differential Equations

Green's function, reflection, boundary value problems, ODE, reduction
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