Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations

Detalhes bibliográficos
Autor(a) principal: Morgado, M. Luísa
Data de Publicação: 2021
Outros Autores: Rebelo, Magda, Ferrás, Luís L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/128515
Resumo: Funding Information: Acknowledgments: The authors acknowledge the support of the Center for Mathematics and Applications (CMA)—FCT-NOVA, Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, and CMAT—Centre of Mathematics—University of Minho. The first author acknowledges Fundação para a Ciência e Tecnologia (Portuguese Foundation for Science and Technology) within Projects UIDB/04621/2020 and UIDP/04621/2020. The second author acknowledges the Fundação para a Ciência e a Tecnologia through Project UIDB/00297/2020 (Centro de Matemática e Aplicações). The third author acknowledges the funding by Fundação para a Ciência e Tecnologia through Projects UIDB/00013/2020 and UIDP/00013/2020.
id RCAP_53c7b5730f00160ad0c93a6129c74872
oai_identifier_str oai:run.unl.pt:10362/128515
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equationsConvergenceDiffusion equationsDistributed-order derivativesFinite differencesNonuniform meshesStabilityMathematics(all)Funding Information: Acknowledgments: The authors acknowledge the support of the Center for Mathematics and Applications (CMA)—FCT-NOVA, Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, and CMAT—Centre of Mathematics—University of Minho. The first author acknowledges Fundação para a Ciência e Tecnologia (Portuguese Foundation for Science and Technology) within Projects UIDB/04621/2020 and UIDP/04621/2020. The second author acknowledges the Fundação para a Ciência e a Tecnologia through Project UIDB/00297/2020 (Centro de Matemática e Aplicações). The third author acknowledges the funding by Fundação para a Ciência e Tecnologia through Projects UIDB/00013/2020 and UIDP/00013/2020.In this work, stable and convergent numerical schemes on nonuniform time meshes are proposed, for the solution of distributed-order diffusion equations. The stability and convergence of the numerical methods are proven, and a set of numerical results illustrate that the use of particular nonuniform time meshes provides more accurate results than the use of a uniform mesh, in the case of nonsmooth solutions.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNMorgado, M. LuísaRebelo, MagdaFerrás, Luís L.2021-11-30T23:53:17Z2021-08-182021-08-18T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/128515eng2227-7390PURE: 34202470https://doi.org/10.3390/math9161975info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:08:04Zoai:run.unl.pt:10362/128515Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:46:19.369140Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
title Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
spellingShingle Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
Morgado, M. Luísa
Convergence
Diffusion equations
Distributed-order derivatives
Finite differences
Nonuniform meshes
Stability
Mathematics(all)
title_short Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
title_full Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
title_fullStr Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
title_full_unstemmed Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
title_sort Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
author Morgado, M. Luísa
author_facet Morgado, M. Luísa
Rebelo, Magda
Ferrás, Luís L.
author_role author
author2 Rebelo, Magda
Ferrás, Luís L.
author2_role author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Morgado, M. Luísa
Rebelo, Magda
Ferrás, Luís L.
dc.subject.por.fl_str_mv Convergence
Diffusion equations
Distributed-order derivatives
Finite differences
Nonuniform meshes
Stability
Mathematics(all)
topic Convergence
Diffusion equations
Distributed-order derivatives
Finite differences
Nonuniform meshes
Stability
Mathematics(all)
description Funding Information: Acknowledgments: The authors acknowledge the support of the Center for Mathematics and Applications (CMA)—FCT-NOVA, Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, and CMAT—Centre of Mathematics—University of Minho. The first author acknowledges Fundação para a Ciência e Tecnologia (Portuguese Foundation for Science and Technology) within Projects UIDB/04621/2020 and UIDP/04621/2020. The second author acknowledges the Fundação para a Ciência e a Tecnologia through Project UIDB/00297/2020 (Centro de Matemática e Aplicações). The third author acknowledges the funding by Fundação para a Ciência e Tecnologia through Projects UIDB/00013/2020 and UIDP/00013/2020.
publishDate 2021
dc.date.none.fl_str_mv 2021-11-30T23:53:17Z
2021-08-18
2021-08-18T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/128515
url http://hdl.handle.net/10362/128515
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2227-7390
PURE: 34202470
https://doi.org/10.3390/math9161975
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799138067019202560

Registros relacionados