Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.

[EN]This article deals with the development of an optimized third-derivative hybrid block method for integrating general second order two-point boundary value problems (BVPs) subject to different types of boundary conditions (BCs) such as Dirichlet, Neumann or Robin. A purely interpolation and collo...

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Detalles Bibliográficos
Autores: Ramos Calle, Higinio, Singh, Gurjinder
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/156370
Acceso en línea:http://hdl.handle.net/10366/156370
Access Level:acceso abierto
Palabra clave:Ordinary differential equations
Boundary value problems
Block scheme
Convergence
Optimization strategy
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spelling Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.Ramos Calle, HiginioSingh, GurjinderOrdinary differential equationsBoundary value problemsBlock schemeConvergenceOptimization strategy[EN]This article deals with the development of an optimized third-derivative hybrid block method for integrating general second order two-point boundary value problems (BVPs) subject to different types of boundary conditions (BCs) such as Dirichlet, Neumann or Robin. A purely interpolation and collocation approach has been used in order to develop the method. A constructive approach has been applied in the development of the method to consider two off-step optimal points among an infinite number of possible choices in a two-step block corresponding to a generic interval.The obtained method simultaneously produces an approximate solution over the entire integration interval. Some numerical experiments have been presented that show the good performance of the presented scheme.Elsevier202420242022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/156370reponame: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:10366/1563702026-06-07T06:28:51Z
dc.title.none.fl_str_mv Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
title Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
spellingShingle Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
Ramos Calle, Higinio
Ordinary differential equations
Boundary value problems
Block scheme
Convergence
Optimization strategy
title_short Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
title_full Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
title_fullStr Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
title_full_unstemmed Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
title_sort Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
dc.creator.none.fl_str_mv Ramos Calle, Higinio
Singh, Gurjinder
author Ramos Calle, Higinio
author_facet Ramos Calle, Higinio
Singh, Gurjinder
author_role author
author2 Singh, Gurjinder
author2_role author
dc.subject.none.fl_str_mv Ordinary differential equations
Boundary value problems
Block scheme
Convergence
Optimization strategy
topic Ordinary differential equations
Boundary value problems
Block scheme
Convergence
Optimization strategy
description [EN]This article deals with the development of an optimized third-derivative hybrid block method for integrating general second order two-point boundary value problems (BVPs) subject to different types of boundary conditions (BCs) such as Dirichlet, Neumann or Robin. A purely interpolation and collocation approach has been used in order to develop the method. A constructive approach has been applied in the development of the method to consider two off-step optimal points among an infinite number of possible choices in a two-step block corresponding to a generic interval.The obtained method simultaneously produces an approximate solution over the entire integration interval. Some numerical experiments have been presented that show the good performance of the presented scheme.
publishDate 2022
dc.date.none.fl_str_mv 2022
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/10366/156370
url http://hdl.handle.net/10366/156370
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 15,198674

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