Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.22/9441 |
Resumo: | This paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Extended Algorithms for Approximating Variable Order Fractional Derivatives with ApplicationsVariable order fractional calculusFinite difference approximationConvergence orderNumerical methodThis paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods.Springer VerlagRepositório Científico do Instituto Politécnico do PortoMoghaddam, Behrouz ParsaMachado, J. A. Tenreiro20162117-12-01T00:00:00Z2016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9441eng10.1007/s10915-016-0343-1metadata only accessinfo: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:RCAAP2023-03-13T12:50:50Zoai:recipp.ipp.pt:10400.22/9441Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:03.186091Repositório 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 |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
title |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
spellingShingle |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications Moghaddam, Behrouz Parsa Variable order fractional calculus Finite difference approximation Convergence order Numerical method |
title_short |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
title_full |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
title_fullStr |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
title_full_unstemmed |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
title_sort |
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
author |
Moghaddam, Behrouz Parsa |
author_facet |
Moghaddam, Behrouz Parsa Machado, J. A. Tenreiro |
author_role |
author |
author2 |
Machado, J. A. Tenreiro |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Repositório Científico do Instituto Politécnico do Porto |
dc.contributor.author.fl_str_mv |
Moghaddam, Behrouz Parsa Machado, J. A. Tenreiro |
dc.subject.por.fl_str_mv |
Variable order fractional calculus Finite difference approximation Convergence order Numerical method |
topic |
Variable order fractional calculus Finite difference approximation Convergence order Numerical method |
description |
This paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016 2016-01-01T00:00:00Z 2117-12-01T00:00:00Z |
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/10400.22/9441 |
url |
http://hdl.handle.net/10400.22/9441 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1007/s10915-016-0343-1 |
dc.rights.driver.fl_str_mv |
metadata only access info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer Verlag |
publisher.none.fl_str_mv |
Springer Verlag |
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 |
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1799131396742053888 |