Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.

[EN]This manuscript presents a variable stepsize formulation of a pair of block methods to efficiently solve third-order IVP models of Lane–Emden–Fowler type equations. The main method is obtained considering two intermediate points. This method combines an appropriate set of formulas for dealing wi...

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Detalles Bibliográficos
Autores: Rufai, Mufutau Ajani, Ramos Calle, Higinio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/156347
Acceso en línea:http://hdl.handle.net/10366/156347
Access Level:acceso abierto
Palabra clave:Hybrid block method
Singular initial value problems
Lane–Emden–Fowler problems
Starting procedure
Variable step size
12 Matemáticas
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spelling Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.Rufai, Mufutau AjaniRamos Calle, HiginioHybrid block methodSingular initial value problemsLane–Emden–Fowler problemsStarting procedureVariable step size12 Matemáticas[EN]This manuscript presents a variable stepsize formulation of a pair of block methods to efficiently solve third-order IVP models of Lane–Emden–Fowler type equations. The main method is obtained considering two intermediate points. This method combines an appropriate set of formulas for dealing with the singularity at the left endpoint . The proposed method is implemented in variable step-size mode to ensure that the truncation error is kept within a specified tolerance. The results of the numerical experiments confirm the good performance of the variable step-size implementation presented in this paper.Elsevier202420242023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/156347reponame: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:10366/1563472026-06-07T06:28:51Z
dc.title.none.fl_str_mv Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
title Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
spellingShingle Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
Rufai, Mufutau Ajani
Hybrid block method
Singular initial value problems
Lane–Emden–Fowler problems
Starting procedure
Variable step size
12 Matemáticas
title_short Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
title_full Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
title_fullStr Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
title_full_unstemmed Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
title_sort Solving third-order Lane–Emden–Fowler equations using a variable stepsize formulation of a pair of block methods.
dc.creator.none.fl_str_mv Rufai, Mufutau Ajani
Ramos Calle, Higinio
author Rufai, Mufutau Ajani
author_facet Rufai, Mufutau Ajani
Ramos Calle, Higinio
author_role author
author2 Ramos Calle, Higinio
author2_role author
dc.subject.none.fl_str_mv Hybrid block method
Singular initial value problems
Lane–Emden–Fowler problems
Starting procedure
Variable step size
12 Matemáticas
topic Hybrid block method
Singular initial value problems
Lane–Emden–Fowler problems
Starting procedure
Variable step size
12 Matemáticas
description [EN]This manuscript presents a variable stepsize formulation of a pair of block methods to efficiently solve third-order IVP models of Lane–Emden–Fowler type equations. The main method is obtained considering two intermediate points. This method combines an appropriate set of formulas for dealing with the singularity at the left endpoint . The proposed method is implemented in variable step-size mode to ensure that the truncation error is kept within a specified tolerance. The results of the numerical experiments confirm the good performance of the variable step-size implementation presented in this paper.
publishDate 2023
dc.date.none.fl_str_mv 2023
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/10366/156347
url http://hdl.handle.net/10366/156347
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 15,300719

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