Operational Solution to the Nonlinear Klein-Gordon Equation
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/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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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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
7 application/pdf |
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 |
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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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1799138009231130624 |