Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver

The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; it is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain th...

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Autores: Torres Hernandez, Anthony, Brambila Paz, Fernando, Rodrigo, Pedro M., De-la-Vega, Eduardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universitat Pompeu Fabra
Repositorio:Repositorio Digital de la UPF
OAI Identifier:oai:repositori.upf.edu:10230/70819
Acceso en línea:http://hdl.handle.net/10230/70819
http://dx.doi.org/10.5121/mathsj.2020.7201
Access Level:acceso abierto
Palabra clave:Iteration function
Order of convergence
Fractional derivative
Parallel Chord Method
Hybrid solar receiver
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spelling Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiverTorres Hernandez, AnthonyBrambila Paz, FernandoRodrigo, Pedro M.De-la-Vega, EduardoIteration functionOrder of convergenceFractional derivativeParallel Chord MethodHybrid solar receiverThe following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; it is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain through iterative methods since the system is apparently unstable. To find this possible solution is used a novel numerical method valid for one and several variables, which using the fractional derivative, allows us to find solutions for some nonlinear systems in the complex space using real initial conditions, this method is also valid for linear systems. The method described above has an order of convergence (at least) linear, but it is easy to implement and it is not necessary to invert some matrix for solving nonlinear systems and linear systems.AIRCC Publishing Corporation202520252020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10230/70819http://dx.doi.org/10.5121/mathsj.2020.7201reponame:Repositorio Digital de la UPFinstname:Universitat Pompeu FabraInglésApplied Mathematics and Sciences: an International Journal. 2020 Jun;7(2):1-12This article is distributed under the terms of the Creative Commons Attribution License (CC BY 4.0).http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositori.upf.edu:10230/708192026-06-12T07:21:37Z
dc.title.none.fl_str_mv Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
title Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
spellingShingle Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
Torres Hernandez, Anthony
Iteration function
Order of convergence
Fractional derivative
Parallel Chord Method
Hybrid solar receiver
title_short Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
title_full Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
title_fullStr Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
title_full_unstemmed Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
title_sort Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
dc.creator.none.fl_str_mv Torres Hernandez, Anthony
Brambila Paz, Fernando
Rodrigo, Pedro M.
De-la-Vega, Eduardo
author Torres Hernandez, Anthony
author_facet Torres Hernandez, Anthony
Brambila Paz, Fernando
Rodrigo, Pedro M.
De-la-Vega, Eduardo
author_role author
author2 Brambila Paz, Fernando
Rodrigo, Pedro M.
De-la-Vega, Eduardo
author2_role author
author
author
dc.subject.none.fl_str_mv Iteration function
Order of convergence
Fractional derivative
Parallel Chord Method
Hybrid solar receiver
topic Iteration function
Order of convergence
Fractional derivative
Parallel Chord Method
Hybrid solar receiver
description The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; it is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain through iterative methods since the system is apparently unstable. To find this possible solution is used a novel numerical method valid for one and several variables, which using the fractional derivative, allows us to find solutions for some nonlinear systems in the complex space using real initial conditions, this method is also valid for linear systems. The method described above has an order of convergence (at least) linear, but it is easy to implement and it is not necessary to invert some matrix for solving nonlinear systems and linear systems.
publishDate 2020
dc.date.none.fl_str_mv 2020
2025
2025
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/10230/70819
http://dx.doi.org/10.5121/mathsj.2020.7201
url http://hdl.handle.net/10230/70819
http://dx.doi.org/10.5121/mathsj.2020.7201
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Applied Mathematics and Sciences: an International Journal. 2020 Jun;7(2):1-12
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv AIRCC Publishing Corporation
publisher.none.fl_str_mv AIRCC Publishing Corporation
dc.source.none.fl_str_mv reponame:Repositorio Digital de la UPF
instname:Universitat Pompeu Fabra
instname_str Universitat Pompeu Fabra
reponame_str Repositorio Digital de la UPF
collection Repositorio Digital de la UPF
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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