A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach

Detalhes bibliográficos
Autor(a) principal: Yang, Xiao-Jun
Data de Publicação: 2015
Outros Autores: Machado, J. A. Tenreiro, Srivastava, H.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9402
Resumo: n this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its as-sociated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.
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spelling A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approachNumerical solutionExtended differential transform methodDiffusion equationLocal fractional derivativesPartial differential equationsn this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its as-sociated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.ElsevierRepositório Científico do Instituto Politécnico do PortoYang, Xiao-JunMachado, J. A. TenreiroSrivastava, H.M.20152117-01-01T00:00:00Z2015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9402enghttp://dx.doi.org/10.1016/j.amc.2015.10.072metadata 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:RCAAP2023-03-13T12:50:47Zoai:recipp.ipp.pt:10400.22/9402Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:00.484748Repositório 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 new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
title A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
spellingShingle A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
Yang, Xiao-Jun
Numerical solution
Extended differential transform method
Diffusion equation
Local fractional derivatives
Partial differential equations
title_short A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
title_full A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
title_fullStr A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
title_full_unstemmed A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
title_sort A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
author Yang, Xiao-Jun
author_facet Yang, Xiao-Jun
Machado, J. A. Tenreiro
Srivastava, H.M.
author_role author
author2 Machado, J. A. Tenreiro
Srivastava, H.M.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Yang, Xiao-Jun
Machado, J. A. Tenreiro
Srivastava, H.M.
dc.subject.por.fl_str_mv Numerical solution
Extended differential transform method
Diffusion equation
Local fractional derivatives
Partial differential equations
topic Numerical solution
Extended differential transform method
Diffusion equation
Local fractional derivatives
Partial differential equations
description n this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its as-sociated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
2117-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/9402
url http://hdl.handle.net/10400.22/9402
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1016/j.amc.2015.10.072
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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