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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.doi10.1590/1806-9126-RBEF-2021-0068
dc.identifier.fileS1806-11172021000100101.pdf
dc.identifier.issn1806-1117
dc.identifier.issn1806-9126
dc.identifier.scieloS1806-11172021000100101
dc.identifier.urihttp://hdl.handle.net/11449/211902
dc.language.isoeng
dc.publisherSociedade Brasileira de Física
dc.relation.ispartofRevista Brasileira de Ensino de Física
dc.rights.accessRightsAcesso aberto
dc.sourceSciELO
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.typeArtigo
dspace.entity.typePublication
unesp.author.orcid0000-0001-8802-8806[1]

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