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A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids

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dc.contributor.authorVargas Ureña, Antonio Manuel
dc.date.accessioned2024-12-13T16:14:56Z
dc.date.available2024-12-13T16:14:56Z
dc.date.issued2023-12-16
dc.descriptionThe registered version of this article, first published in Communications on Applied Mathematics and Computation, is available online at the publisher's website: Springer Nature, https://doi.org/10.1007/s42967-023-00323-4
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en Communications on Applied Mathematics and Computation, está disponible en línea en el sitio web del editor: Springer Nature, https://doi.org/10.1007/s42967-023-00323-4
dc.description.abstractIn this study, we analyze the convergence of the finite difference method on non-uniform grids and provide examples to demonstrate its effectiveness in approximating fractional differential equations involving the fractional Laplacian. By utilizing non-uniform grids, it becomes possible to achieve higher accuracy and improved resolution in specific regions of interest. Overall, our findings indicate that finite difference approximation on non-uniform grids can serve as a dependable and efficient tool for approximating fractional Laplacians across a diverse array of applications.en
dc.description.provenanceMade available in DSpace on 2024-12-13T16:14:56Z (GMT). No. of bitstreams: 1 A Finite Difference Scheme for the Fractional.pdf: 368875 bytes, checksum: ee198c93f1a1f758a7299f4cf5715a84 (MD5) Previous issue date: 2023-12-16en
dc.description.versionversión original
dc.identifier.citationA.M. Vargas, A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids, Communications on Applied Mathematics and Computation https://doi.org/10.1007/s42967-023-00323-4
dc.identifier.doihttps://doi.org/10.1007/s42967-023-00323-4
dc.identifier.issn2661-8893
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24892
dc.journal.titleCommunications on Applied Mathematics and Computation
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsmeshless methoden
dc.subject.keywordsfractional differential equationsen
dc.subject.keywordscaputo fractional derivativeen
dc.titleA Finite Difference Scheme for the Fractional Laplacian on Non-uniform Gridsen
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication6d700201-394b-4442-b0f1-dbe2a6703081
relation.isAuthorOfPublication.latestForDiscovery6d700201-394b-4442-b0f1-dbe2a6703081
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