Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.

[EN]In this study, an optimal L-stable time-efficient hybrid block method with a relative measure of stability is developed for solving stiff systems in ordinary differential equations. The derivation resorts to interpolation and collocation techniques over a single step with two intermediate points...

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Detalles Bibliográficos
Autores: Qureshi, Sania, Ramos Calle, Higinio, Soomro, Amanullah, Akinfenwa, O. A., Akanbi, Moses Adebowale
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/156088
Acceso en línea:http://hdl.handle.net/10366/156088
Access Level:acceso abierto
Palabra clave:L-stability
Order stars
Stiff problems
Efficiency curves
12 Matemáticas
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spelling Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.Qureshi, SaniaRamos Calle, HiginioSoomro, AmanullahAkinfenwa, O. A.Akanbi, Moses AdebowaleL-stabilityOrder starsStiff problemsEfficiency curves12 Matemáticas[EN]In this study, an optimal L-stable time-efficient hybrid block method with a relative measure of stability is developed for solving stiff systems in ordinary differential equations. The derivation resorts to interpolation and collocation techniques over a single step with two intermediate points, resulting in an efficient one-step method. The optimization of the two off-grid points is achieved by means of the local truncation error (LTE) of the main formula. The theoretical analysis shows that the method is consistent, zero-stable, seventh-order convergent for the main formula, and L-stable. The highly stiff systems solved with the proposed and other algorithms (even of higher-order than the proposed one) proved the efficiency of the former in the context of several types of errors, precision factors, and computational time.Elsevier202420242024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/156088reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1560882026-06-07T06:28:51Z
dc.title.none.fl_str_mv Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
title Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
spellingShingle Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
Qureshi, Sania
L-stability
Order stars
Stiff problems
Efficiency curves
12 Matemáticas
title_short Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
title_full Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
title_fullStr Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
title_full_unstemmed Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
title_sort Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
dc.creator.none.fl_str_mv Qureshi, Sania
Ramos Calle, Higinio
Soomro, Amanullah
Akinfenwa, O. A.
Akanbi, Moses Adebowale
author Qureshi, Sania
author_facet Qureshi, Sania
Ramos Calle, Higinio
Soomro, Amanullah
Akinfenwa, O. A.
Akanbi, Moses Adebowale
author_role author
author2 Ramos Calle, Higinio
Soomro, Amanullah
Akinfenwa, O. A.
Akanbi, Moses Adebowale
author2_role author
author
author
author
dc.subject.none.fl_str_mv L-stability
Order stars
Stiff problems
Efficiency curves
12 Matemáticas
topic L-stability
Order stars
Stiff problems
Efficiency curves
12 Matemáticas
description [EN]In this study, an optimal L-stable time-efficient hybrid block method with a relative measure of stability is developed for solving stiff systems in ordinary differential equations. The derivation resorts to interpolation and collocation techniques over a single step with two intermediate points, resulting in an efficient one-step method. The optimization of the two off-grid points is achieved by means of the local truncation error (LTE) of the main formula. The theoretical analysis shows that the method is consistent, zero-stable, seventh-order convergent for the main formula, and L-stable. The highly stiff systems solved with the proposed and other algorithms (even of higher-order than the proposed one) proved the efficiency of the former in the context of several types of errors, precision factors, and computational time.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/156088
url http://hdl.handle.net/10366/156088
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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