Computation of Green’s functions through algebraic decomposition of operators

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2016_boundary_value_problems_tojo_computational_greens.pdf (1.56 MB)
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URI: http://hdl.handle.net/10347/15995
E-ISSN: 1687-2770
DOI: 10.1186/s13661-016-0671-y

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2016-09-13

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Springer International Publishing
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In this article, we use linear algebra to improve the computational time for obtaining Green’s functions of linear differential equations with reflection (DER). This is achieved by decomposing both the ‘reduced’ equation (the ODE associated with a given DER) and the corresponding two-point boundary conditions

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Green’s functions| ODE| Reflection| Decomposition

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Tojo, F.A.F. Bound Value Probl (2016) 2016: 167. https://doi.org/10.1186/s13661-016-0671-y

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The author wants to acknowledge his gratitude to the anonymous referee for helping improve the manuscript, especially in the proof of Lemma 3.1. This work was partially supported by Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia, Spain, project EM2014/032 and supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain

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© Tojo 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made

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Estatística, Análise Matemática e Optimización