Operational method for the solution of ordinary differential equations using Hermite series

Detalhes bibliográficos
Autor(a) principal: Bengochea, Gabriel
Data de Publicação: 2018
Outros Autores: Verde–star, Luis, Ortigueira, Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/100309
Resumo: partially supported by grant SEP-CONACYT 220603. PRODEP under the project UAM-PTC-630.
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spelling Operational method for the solution of ordinary differential equations using Hermite seriesOperational calculusOrdinary differential equationsSeries of Hermite polynomialsAnalysisAlgebra and Number TheoryGeometry and TopologyApplied Mathematicspartially supported by grant SEP-CONACYT 220603. PRODEP under the project UAM-PTC-630.We apply a general algebraic operational method to obtain solutions of ordinary differential equations. The solutions are expressed as series of scaled Hermite polynomials. We present some examples that show that the solutions obtained as truncated Hermite series give acceptable approximations to the exact solutions on intervals larger than the corresponding intervals for the solutions obtained as truncated Taylor series. Our method is algebraic and does not use any integral transforms.DEE2010-B2 SistemasCTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNBengochea, GabrielVerde–star, LuisOrtigueira, Manuel2020-07-03T22:50:35Z2018-01-012018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article15application/pdfhttp://hdl.handle.net/10362/100309eng1331-0623PURE: 13318554info: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:RCAAP2024-03-11T04:46:46Zoai:run.unl.pt:10362/100309Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:39:19.627319Repositório 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 Operational method for the solution of ordinary differential equations using Hermite series
title Operational method for the solution of ordinary differential equations using Hermite series
spellingShingle Operational method for the solution of ordinary differential equations using Hermite series
Bengochea, Gabriel
Operational calculus
Ordinary differential equations
Series of Hermite polynomials
Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics
title_short Operational method for the solution of ordinary differential equations using Hermite series
title_full Operational method for the solution of ordinary differential equations using Hermite series
title_fullStr Operational method for the solution of ordinary differential equations using Hermite series
title_full_unstemmed Operational method for the solution of ordinary differential equations using Hermite series
title_sort Operational method for the solution of ordinary differential equations using Hermite series
author Bengochea, Gabriel
author_facet Bengochea, Gabriel
Verde–star, Luis
Ortigueira, Manuel
author_role author
author2 Verde–star, Luis
Ortigueira, Manuel
author2_role author
author
dc.contributor.none.fl_str_mv DEE2010-B2 Sistemas
CTS - Centro de Tecnologia e Sistemas
UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
DEE - Departamento de Engenharia Electrotécnica e de Computadores
RUN
dc.contributor.author.fl_str_mv Bengochea, Gabriel
Verde–star, Luis
Ortigueira, Manuel
dc.subject.por.fl_str_mv Operational calculus
Ordinary differential equations
Series of Hermite polynomials
Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics
topic Operational calculus
Ordinary differential equations
Series of Hermite polynomials
Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics
description partially supported by grant SEP-CONACYT 220603. PRODEP under the project UAM-PTC-630.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
2018-01-01T00:00:00Z
2020-07-03T22:50:35Z
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/10362/100309
url http://hdl.handle.net/10362/100309
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1331-0623
PURE: 13318554
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron_str RCAAP
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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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