Publicación: Finite difference method for solving fractional differential equations at irregular meshes
dc.contributor.author | Vargas Ureña, Antonio Manuel | |
dc.date.accessioned | 2024-12-13T17:05:44Z | |
dc.date.available | 2024-12-13T17:05:44Z | |
dc.date.issued | 2021-10-29 | |
dc.description | The registered version of this article, first published in Mathematics and Computers in Simulation, is available online at the publisher's website: Elsevier, https://doi.org/10.1016/j.matcom.2021.10.010 | |
dc.description | La versión registrada de este artículo, publicado por primera vez en Mathematics and Computers in Simulation, está disponible en línea en el sitio web del editor: Elsevier, https://doi.org/10.1016/j.matcom.2021.10.010 | |
dc.description.abstract | This paper presents a novel meshless technique for solving a class of fractional differential equations based on moving least squares and on the existence of a fractional Taylor series for Caputo derivatives. A “Generalized Finite Difference” approach is followed in order to derive a simple discretization of the space fractional derivatives. Consistency, stability and convergence of the method are proved. Several examples illustrating the accuracy of the method are given. | en |
dc.description.version | versión original | |
dc.identifier.citation | A.M. Vargas, Finite difference method for solving fractional differential equations at irregular meshes, Mathematics and Computers in Simulation, Volume 193, March 2022, Pages 204-216. https://doi.org/10.1016/j.matcom.2021.10.010 | |
dc.identifier.doi | https://doi.org/10.1016/j.matcom.2021.10.010 | |
dc.identifier.issn | 0378-4754 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14468/24893 | |
dc.journal.title | Mathematics and Computers in Simulation | |
dc.journal.volume | 193 | |
dc.language.iso | en | |
dc.page.final | 216 | |
dc.page.initial | 204 | |
dc.publisher | Elsevier | |
dc.relation.center | Facultades y escuelas::E.T.S. de Ingenieros Industriales | |
dc.relation.department | Matemática Aplicada I | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es | |
dc.subject | 12 Matemáticas | |
dc.subject.keywords | fractional differential equations | en |
dc.subject.keywords | caputo fractional derivative | en |
dc.subject.keywords | fractional Laplacian | en |
dc.subject.keywords | finite difference method | en |
dc.subject.keywords | meshless method | en |
dc.title | Finite difference method for solving fractional differential equations at irregular meshes | en |
dc.type | artículo | es |
dc.type | journal article | en |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6d700201-394b-4442-b0f1-dbe2a6703081 | |
relation.isAuthorOfPublication.latestForDiscovery | 6d700201-394b-4442-b0f1-dbe2a6703081 |
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