A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains

Detalhes bibliográficos
Autor(a) principal: Azin, H.
Data de Publicação: 2019
Outros Autores: Mohammadi, F., Tenreiro Machado, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/23842
Resumo: This paper addresses the approximate solution of the fractional Riccati differential equation (FRDE) in large domains. First, the solution interval is divided into a finite number of subintervals. Then, the Legendre–Gauss–Radau points along with the Lagrange interpolation method are employed to approximate the FRDE solution in each subinterval. The method has the advantage of providing the approximate solutions in large intervals. Additionally, the convergence analysis of the numerical algorithm is also provided. Three illustrative examples are given to illustrate the efficiency and applicability of the proposed method.
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spelling A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domainsFractional calculusRiccati differential equationLegendre–Gauss–Radau pointsLagrange interpolationThis paper addresses the approximate solution of the fractional Riccati differential equation (FRDE) in large domains. First, the solution interval is divided into a finite number of subintervals. Then, the Legendre–Gauss–Radau points along with the Lagrange interpolation method are employed to approximate the FRDE solution in each subinterval. The method has the advantage of providing the approximate solutions in large intervals. Additionally, the convergence analysis of the numerical algorithm is also provided. Three illustrative examples are given to illustrate the efficiency and applicability of the proposed method.SpringerRepositório Científico do Instituto Politécnico do PortoAzin, H.Mohammadi, F.Tenreiro Machado, J. A.20192035-01-01T00:00:00Z2019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/23842eng10.1007/s40314-019-0860-2metadata 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:RCAAP2023-11-15T01:47:32Zoai:recipp.ipp.pt:10400.22/23842Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:26:55.739383Repositório 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 A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
title A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
spellingShingle A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
Azin, H.
Fractional calculus
Riccati differential equation
Legendre–Gauss–Radau points
Lagrange interpolation
title_short A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
title_full A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
title_fullStr A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
title_full_unstemmed A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
title_sort A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
author Azin, H.
author_facet Azin, H.
Mohammadi, F.
Tenreiro Machado, J. A.
author_role author
author2 Mohammadi, F.
Tenreiro Machado, J. A.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Azin, H.
Mohammadi, F.
Tenreiro Machado, J. A.
dc.subject.por.fl_str_mv Fractional calculus
Riccati differential equation
Legendre–Gauss–Radau points
Lagrange interpolation
topic Fractional calculus
Riccati differential equation
Legendre–Gauss–Radau points
Lagrange interpolation
description This paper addresses the approximate solution of the fractional Riccati differential equation (FRDE) in large domains. First, the solution interval is divided into a finite number of subintervals. Then, the Legendre–Gauss–Radau points along with the Lagrange interpolation method are employed to approximate the FRDE solution in each subinterval. The method has the advantage of providing the approximate solutions in large intervals. Additionally, the convergence analysis of the numerical algorithm is also provided. Three illustrative examples are given to illustrate the efficiency and applicability of the proposed method.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
2035-01-01T00:00:00Z
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/10400.22/23842
url http://hdl.handle.net/10400.22/23842
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1007/s40314-019-0860-2
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
publisher.none.fl_str_mv Springer
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
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