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Green’s function for the one-dimensional Helmholtz equation: closed-form solution from its Fourier sine series

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dc.contributor.authorCastro, Antonio S. De [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-07-14T10:31:21Z
dc.date.available2021-07-14T10:31:21Z
dc.date.issued2021-04-16
dc.description.abstractIt is presented a way to obtain the closed form for Green’s function related to the nonhomogeneous one-dimensional Helmholtz equation with homogeneous Dirichlet conditions on the boundary of the domain from its Fourier sine series representation. A closed form for the sum of the series ∑k=1∞sin⁡k⁢x⁢sin⁡k⁢y/(k2-α2) is found in the process.en
dc.description.affiliationUniversidade Estadual Paulista “Júlio de Mesquita Filho”, Departamento de Física
dc.description.affiliationUnespUniversidade Estadual Paulista “Júlio de Mesquita Filho”, Departamento de Física
dc.format.extent-
dc.identifierhttp://dx.doi.org/10.1590/1806-9126-RBEF-2021-0068
dc.identifier.citationRevista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2021.
dc.identifier.dimensionspub.1137267599
dc.identifier.doi10.1590/1806-9126-RBEF-2021-0068
dc.identifier.fileS1806-11172021000100101.pdf
dc.identifier.issn1806-1117
dc.identifier.issn1806-9126
dc.identifier.orcid0000-0001-8802-8806
dc.identifier.scieloS1806-11172021000100101
dc.identifier.urihttp://hdl.handle.net/11449/211902
dc.language.isoeng
dc.publisherSociedade Brasileira de Física
dc.publisherFapUNIFESP (SciELO)
dc.relation.ispartofRevista Brasileira de Ensino de Física
dc.rights.accessRightsAcesso abertopt
dc.sourceSciELO
dc.sourceDimensions
dc.subjectGreen’s function methoden
dc.subjectNonhomogeneous Helmholtz equationen
dc.subjectHomogeneous Dirichlet conditions.en
dc.titleGreen’s function for the one-dimensional Helmholtz equation: closed-form solution from its Fourier sine seriesen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0001-8802-8806[1]

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