Operational Solution to the Nonlinear Klein-Gordon Equation

Detalhes bibliográficos
Autor(a) principal: Bengochea, G.
Data de Publicação: 2018
Outros Autores: Verde-Star, L., Ortigueira, 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/10362/100427
Resumo: Supported by Grant SEP-CONACYT 220603, the first author was supported by SEP-PRODEP through the project UAM-PTC-630, the third author was supported by Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013
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spelling Operational Solution to the Nonlinear Klein-Gordon Equationnonlinear Klein-Gordon equationoperational calculuspartial differential equationsPhysics and Astronomy (miscellaneous)Supported by Grant SEP-CONACYT 220603, the first author was supported by SEP-PRODEP through the project UAM-PTC-630, the third author was supported by Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013We obtain solutions of the nonlinear Klein-Gordon equation using a novel operational method combined with the Adomian polynomial expansion of nonlinear functions. Our operational method does not use any integral transforms nor integration processes. We illustrate the application of our method by solving several examples and present numerical results that show the accuracy of the truncated series approximations to the solutions.DEE2010-B2 SistemasCTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNBengochea, G.Verde-Star, L.Ortigueira, M.2020-07-06T22:33:17Z2018-01-012018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article7application/pdfhttp://hdl.handle.net/10362/100427eng0253-6102PURE: 13318488https://doi.org/10.1088/0253-6102/69/5/506info: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:10362/100427Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:39:19.814575Repositório 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 Solution to the Nonlinear Klein-Gordon Equation
title Operational Solution to the Nonlinear Klein-Gordon Equation
spellingShingle Operational Solution to the Nonlinear Klein-Gordon Equation
Bengochea, G.
nonlinear Klein-Gordon equation
operational calculus
partial differential equations
Physics and Astronomy (miscellaneous)
title_short Operational Solution to the Nonlinear Klein-Gordon Equation
title_full Operational Solution to the Nonlinear Klein-Gordon Equation
title_fullStr Operational Solution to the Nonlinear Klein-Gordon Equation
title_full_unstemmed Operational Solution to the Nonlinear Klein-Gordon Equation
title_sort Operational Solution to the Nonlinear Klein-Gordon Equation
author Bengochea, G.
author_facet Bengochea, G.
Verde-Star, L.
Ortigueira, M.
author_role author
author2 Verde-Star, L.
Ortigueira, M.
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, G.
Verde-Star, L.
Ortigueira, M.
dc.subject.por.fl_str_mv nonlinear Klein-Gordon equation
operational calculus
partial differential equations
Physics and Astronomy (miscellaneous)
topic nonlinear Klein-Gordon equation
operational calculus
partial differential equations
Physics and Astronomy (miscellaneous)
description Supported by Grant SEP-CONACYT 220603, the first author was supported by SEP-PRODEP through the project UAM-PTC-630, the third author was supported by Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
2018-01-01T00:00:00Z
2020-07-06T22:33:17Z
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/10362/100427
url http://hdl.handle.net/10362/100427
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0253-6102
PURE: 13318488
https://doi.org/10.1088/0253-6102/69/5/506
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eu_rights_str_mv openAccess
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