Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion

Detalhes bibliográficos
Autor(a) principal: Libardi Calixto, George Ricardo
Data de Publicação: 2022
Outros Autores: Freitas, Elisandra Konflanz, Ferreira, Juciara Alves, Rodriguez, Bárbara Denicol do Amaral, Prolo Filho, João Francisco
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Vetor (Online)
Texto Completo: https://periodicos.furg.br/vetor/article/view/13754
Resumo: In this paper, Fixed-Talbot method computational aspects are explored for Laplace Transform numerical inversion and its efficiency in the treatment of a set of elementary functions of an exponential, oscillatory and logarithmic nature, based on the influence investigation of free parameter N. The numerical results are compared to the analytical solution while calculating the absolute error. The best value for N was determined in each studied function class, where the method presents satisfactory results. It was observed that increasing the number of terms in the summation for approximation (beyond the optimal value) doesn’t imply obtaining more refined results. In general, based on the data obtained, it was concluded that Fixed-Talbot method is efficient for the inversion of all classes of elementary functions evaluated in this article.
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spelling Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical InversionInfluência do Parâmetro N no Algoritmo de Talbot-Fixo para a Inversão Numérica da Transformada de LaplaceLaplace TransformInverse TransformNumerical MethodsFixed-TalbotTransformada de LaplaceTransformada InversaMétodos NuméricosTalbot-FixoIn this paper, Fixed-Talbot method computational aspects are explored for Laplace Transform numerical inversion and its efficiency in the treatment of a set of elementary functions of an exponential, oscillatory and logarithmic nature, based on the influence investigation of free parameter N. The numerical results are compared to the analytical solution while calculating the absolute error. The best value for N was determined in each studied function class, where the method presents satisfactory results. It was observed that increasing the number of terms in the summation for approximation (beyond the optimal value) doesn’t imply obtaining more refined results. In general, based on the data obtained, it was concluded that Fixed-Talbot method is efficient for the inversion of all classes of elementary functions evaluated in this article.Neste artigo, são explorados os aspectos computacionais do método de Talbot-Fixo para a inversão numérica da Transformada de Laplace e sua eficiência no tratamento de um conjunto de funções elementares de natureza exponencial, oscilatória e logarítmica, a partir da investigação da influência do parâmetro livre N. Os resultados numéricos são comparados à solução analítica, calculando-se o erro absoluto. O melhor valor para N, em cada classe de função estudada, nos quais o método apresenta resultados satisfatórios, foram determinados. Observou-se que aumentar o número de termos do somatório para a aproximação (além do valor ótimo) não implica em obter resultados mais refinados. De um modo geral, fundamentado nos dados obtidos, conclui-se que o método de Talbot-Fixo é eficiente para a inversão de todas as classes de funções elementares avaliadas neste trabalho.Universidade Federal do Rio Grande2022-07-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.furg.br/vetor/article/view/1375410.14295/vetor.v32i1.13754VETOR - Journal of Exact Sciences and Engineering; Vol. 32 No. 1 (2022); 42-51VETOR - Revista de Ciências Exatas e Engenharias; v. 32 n. 1 (2022); 42-512358-34520102-7352reponame:Vetor (Online)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGenghttps://periodicos.furg.br/vetor/article/view/13754/9603Copyright (c) 2022 VETOR - Revista de Ciências Exatas e Engenhariasinfo:eu-repo/semantics/openAccessLibardi Calixto, George RicardoFreitas, Elisandra KonflanzFerreira, Juciara AlvesRodriguez, Bárbara Denicol do AmaralProlo Filho, João Francisco2022-07-15T17:35:53Zoai:periodicos.furg.br:article/13754Revistahttps://periodicos.furg.br/vetorPUBhttps://periodicos.furg.br/vetor/oaigmplatt@furg.br2358-34520102-7352opendoar:2022-07-15T17:35:53Vetor (Online) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
Influência do Parâmetro N no Algoritmo de Talbot-Fixo para a Inversão Numérica da Transformada de Laplace
title Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
spellingShingle Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
Libardi Calixto, George Ricardo
Laplace Transform
Inverse Transform
Numerical Methods
Fixed-Talbot
Transformada de Laplace
Transformada Inversa
Métodos Numéricos
Talbot-Fixo
title_short Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
title_full Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
title_fullStr Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
title_full_unstemmed Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
title_sort Parameter N Influence on the Fixed-Talbot Algorithm for the Laplace Transform Numerical Inversion
author Libardi Calixto, George Ricardo
author_facet Libardi Calixto, George Ricardo
Freitas, Elisandra Konflanz
Ferreira, Juciara Alves
Rodriguez, Bárbara Denicol do Amaral
Prolo Filho, João Francisco
author_role author
author2 Freitas, Elisandra Konflanz
Ferreira, Juciara Alves
Rodriguez, Bárbara Denicol do Amaral
Prolo Filho, João Francisco
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Libardi Calixto, George Ricardo
Freitas, Elisandra Konflanz
Ferreira, Juciara Alves
Rodriguez, Bárbara Denicol do Amaral
Prolo Filho, João Francisco
dc.subject.por.fl_str_mv Laplace Transform
Inverse Transform
Numerical Methods
Fixed-Talbot
Transformada de Laplace
Transformada Inversa
Métodos Numéricos
Talbot-Fixo
topic Laplace Transform
Inverse Transform
Numerical Methods
Fixed-Talbot
Transformada de Laplace
Transformada Inversa
Métodos Numéricos
Talbot-Fixo
description In this paper, Fixed-Talbot method computational aspects are explored for Laplace Transform numerical inversion and its efficiency in the treatment of a set of elementary functions of an exponential, oscillatory and logarithmic nature, based on the influence investigation of free parameter N. The numerical results are compared to the analytical solution while calculating the absolute error. The best value for N was determined in each studied function class, where the method presents satisfactory results. It was observed that increasing the number of terms in the summation for approximation (beyond the optimal value) doesn’t imply obtaining more refined results. In general, based on the data obtained, it was concluded that Fixed-Talbot method is efficient for the inversion of all classes of elementary functions evaluated in this article.
publishDate 2022
dc.date.none.fl_str_mv 2022-07-15
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.furg.br/vetor/article/view/13754
10.14295/vetor.v32i1.13754
url https://periodicos.furg.br/vetor/article/view/13754
identifier_str_mv 10.14295/vetor.v32i1.13754
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.furg.br/vetor/article/view/13754/9603
dc.rights.driver.fl_str_mv Copyright (c) 2022 VETOR - Revista de Ciências Exatas e Engenharias
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 VETOR - Revista de Ciências Exatas e Engenharias
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal do Rio Grande
publisher.none.fl_str_mv Universidade Federal do Rio Grande
dc.source.none.fl_str_mv VETOR - Journal of Exact Sciences and Engineering; Vol. 32 No. 1 (2022); 42-51
VETOR - Revista de Ciências Exatas e Engenharias; v. 32 n. 1 (2022); 42-51
2358-3452
0102-7352
reponame:Vetor (Online)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Vetor (Online)
collection Vetor (Online)
repository.name.fl_str_mv Vetor (Online) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv gmplatt@furg.br
_version_ 1797041760333987840

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