Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain

Autores
Pintarelli, María Beatriz
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The problem is to considerer a parabolic equation depending on a coefficient a(t) , and find the solution of the equation and the coefficient. The objective is to solve the problem as an application of the inverse moment problem. An approximate solution and limits will be found for the error of the estimated solution using the techniques of inverse problem moments. In addition, the method is illustrated with several examples.
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)
Facultad de Ingeniería (FI)
Facultad de Ciencias Exactas
Materia
Matemática
Generalized moment problem
Integral equations
Inverse problem
Parabolic PDEs
Truncated expansion method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/81289
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/81289
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular DomainPintarelli, María BeatrizMatemáticaGeneralized moment problemIntegral equationsInverse problemParabolic PDEsTruncated expansion methodThe problem is to considerer a parabolic equation depending on a coefficient a(t) , and find the solution of the equation and the coefficient. The objective is to solve the problem as an application of the inverse moment problem. An approximate solution and limits will be found for the error of the estimated solution using the techniques of inverse problem moments. In addition, the method is illustrated with several examples.Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)Facultad de Ingeniería (FI)Facultad de Ciencias Exactas2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf223-239http://sedici.unlp.edu.ar/handle/10915/81289enginfo:eu-repo/semantics/altIdentifier/issn/2152-7393info:eu-repo/semantics/altIdentifier/doi/10.4236/am.2018.93017info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:15:06Zoai:sedici.unlp.edu.ar:10915/81289Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:06.814SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
title Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
spellingShingle Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
Pintarelli, María Beatriz
Matemática
Generalized moment problem
Integral equations
Inverse problem
Parabolic PDEs
Truncated expansion method
title_short Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
title_full Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
title_fullStr Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
title_full_unstemmed Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
title_sort Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
dc.creator.none.fl_str_mv Pintarelli, María Beatriz
author Pintarelli, María Beatriz
author_facet Pintarelli, María Beatriz
author_role author
dc.subject.none.fl_str_mv Matemática
Generalized moment problem
Integral equations
Inverse problem
Parabolic PDEs
Truncated expansion method
topic Matemática
Generalized moment problem
Integral equations
Inverse problem
Parabolic PDEs
Truncated expansion method
dc.description.none.fl_txt_mv The problem is to considerer a parabolic equation depending on a coefficient a(t) , and find the solution of the equation and the coefficient. The objective is to solve the problem as an application of the inverse moment problem. An approximate solution and limits will be found for the error of the estimated solution using the techniques of inverse problem moments. In addition, the method is illustrated with several examples.
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)
Facultad de Ingeniería (FI)
Facultad de Ciencias Exactas
description The problem is to considerer a parabolic equation depending on a coefficient a(t) , and find the solution of the equation and the coefficient. The objective is to solve the problem as an application of the inverse moment problem. An approximate solution and limits will be found for the error of the estimated solution using the techniques of inverse problem moments. In addition, the method is illustrated with several examples.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/81289
url http://sedici.unlp.edu.ar/handle/10915/81289
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2152-7393
info:eu-repo/semantics/altIdentifier/doi/10.4236/am.2018.93017
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
223-239
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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