A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs

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dc.contributor.authorBenito, Juan José
dc.contributor.authorGarcía, Ángel
dc.contributor.authorNegreanu, Mihaela
dc.contributor.authorUreña, Francisco
dc.contributor.authorVargas, Antonio M.
dc.date.accessioned2023-06-22T12:27:09Z
dc.date.available2023-06-22T12:27:09Z
dc.date.issued2022-05-20
dc.description.abstractWe introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear parabolic PDEs. The method is based on a moving least squares method, more precisely, the generalized finite difference method (GFDM), which allows us to select well-conditioned stars. Several 2D and 3D examples, including the time variable, are shown for both regular and irregular node distributions. The results are compared with explicit GFDM both in terms of errors and execution time.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipUniversidad Nacional de Educación a Distancia (UNED)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/75114
dc.identifier.doi10.3390/math10111870
dc.identifier.issn2227-7390
dc.identifier.officialurlhttps://doi.org/10.3390/math10111870
dc.identifier.relatedurlhttps://www.mdpi.com/2227-7390/10/11/1870/htm
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72513
dc.issue.number11
dc.journal.titleMathematics
dc.language.isoeng
dc.page.initial1870
dc.publisherMPDI
dc.relation.projectIDMTM2017-42907-P
dc.relation.projectID2021-IFC02
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.keywordgeneralized finite differences
dc.subject.keywordmeshless method
dc.subject.keywordparabolic partial differential equations
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco12 Matemáticas
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleA Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
dc.typejournal article
dc.volume.number10
dspace.entity.typePublication
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