Freya: an educational MATLAB GUI-based tool for generalized Fourier series

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dc.contributor.authorMacedo, Humberto Gimenes
dc.contributor.authorOliveira, Virgínia Klausner de
dc.contributor.authorGomes, Anna Karina Fontes
dc.contributor.authorFernandes, Francisco Carlos Rocha
dc.date.accessioned2025-03-11T18:20:06Z
dc.date.available2025-03-11T18:20:06Z
dc.date.issued22023
dc.description.abstractThe Fourier analysis is a very powerful mathematical tool to decompose functions into their frequency components. Due to this, it has applications in a wide variety of fields inside the realm of science and engineering. As usual, this theory starts with a discussion about the trigonometric Fourier series, the expansion of a function in terms of sines and cosines, and then is generalized in the sense that other functions rather than the trigonometric ones can be used as an orthogonal basis, as the eigenfunctions of some specific Sturm-Liouville problems, such as Bessel functions and Legendre polynomials. In this direction, we present the so- called Freya, an educational graphical user interface (GUI) for the generalized Fourier series developed using the interactive MATLAB (MATrix Laboratory) App Designer environment. We aim to provide a user-friendly tool as a learning aid system for students to gain a comprehensive understanding of the subject as well as for teaching.
dc.description.physical20 p.
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.uriCNPq (165321/2017-2, 305249/2018-5) FAPESP (2015/11398-0)
dc.format.mimetypePDF
dc.identifier.affiliationUniversidade do Vale do Paraíba
dc.identifier.affiliationInstituto Federal de São Paulo
dc.identifier.affiliationFaculdade de Tecnologia de Bauru
dc.identifier.bibliographicCitationMACEDO, Humberto Gimenes et al. Freya: an educational MATLAB GUI-based tool for generalized Fourier series. Research, Society and Development, v. 12, n. 2, p. 1-20, 2023. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/40312.
dc.identifier.doi10.33448/rsd-v12i2.40312
dc.identifier.urihttps://repositorio.univap.br/handle/123456789/681
dc.language.isoen_US
dc.publisherResearch, Society and Development
dc.rights.holderResearch, Society and Development
dc.subject.keywordGeneralized Fourier series
dc.subject.keywordSturm-Liouville problems
dc.subject.keywordBesselfunctions
dc.subject.keywordLegendre polynomials
dc.subject.keywordMATLAB
dc.titleFreya: an educational MATLAB GUI-based tool for generalized Fourier series
dc.typeArtigos de Periódicos

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