Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem

Autores
Pintarelli, María Beatriz
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We considerer parabolic partial differential equations. We will see that an approximate solution can be found using the techniques of generalized inverse moments problem and also bounds for the error of estimated solution. First we transform the parabolic partial differential equation to the integral equation. Using the inverse moments problem techniques we obtain an approximate solution. Then we find a numerical approximation of when solving the integral equation, because solving the previous integral equation is equivalent to solving the equation
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)
Facultad de Ingeniería (FI)
Materia
Matemática
Parabolic PDEs
Integral Equations
Generalized Moment Problem
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:10915/81100
Acceder
id SEDICI_a2e6a285565582cc6abf03baf31dd947
oai_identifier_str oai:sedici.unlp.edu.ar:10915/81100
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments ProblemPintarelli, María BeatrizMatemáticaParabolic PDEsIntegral EquationsGeneralized Moment ProblemWe considerer parabolic partial differential equations. We will see that an approximate solution can be found using the techniques of generalized inverse moments problem and also bounds for the error of estimated solution. First we transform the parabolic partial differential equation to the integral equation. Using the inverse moments problem techniques we obtain an approximate solution. Then we find a numerical approximation of when solving the integral equation, because solving the previous integral equation is equivalent to solving the equationGrupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)Facultad de Ingeniería (FI)2017-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf15-25http://sedici.unlp.edu.ar/handle/10915/81100enginfo:eu-repo/semantics/altIdentifier/issn/2152-7393info:eu-repo/semantics/altIdentifier/doi/10.4236/am.2017.81002info: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:UNLP2025-09-29T11:15:02Zoai:sedici.unlp.edu.ar:10915/81100Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:02.656SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
title Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
spellingShingle Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
Pintarelli, María Beatriz
Matemática
Parabolic PDEs
Integral Equations
Generalized Moment Problem
title_short Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
title_full Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
title_fullStr Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
title_full_unstemmed Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
title_sort Parabolic Partial Differential Equations with Border Conditions of Dirichlet as Inverse Moments Problem
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
Parabolic PDEs
Integral Equations
Generalized Moment Problem
topic Matemática
Parabolic PDEs
Integral Equations
Generalized Moment Problem
dc.description.none.fl_txt_mv We considerer parabolic partial differential equations. We will see that an approximate solution can be found using the techniques of generalized inverse moments problem and also bounds for the error of estimated solution. First we transform the parabolic partial differential equation to the integral equation. Using the inverse moments problem techniques we obtain an approximate solution. Then we find a numerical approximation of when solving the integral equation, because solving the previous integral equation is equivalent to solving the equation
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)
Facultad de Ingeniería (FI)
description We considerer parabolic partial differential equations. We will see that an approximate solution can be found using the techniques of generalized inverse moments problem and also bounds for the error of estimated solution. First we transform the parabolic partial differential equation to the integral equation. Using the inverse moments problem techniques we obtain an approximate solution. Then we find a numerical approximation of when solving the integral equation, because solving the previous integral equation is equivalent to solving the equation
publishDate 2017
dc.date.none.fl_str_mv 2017-01
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/10915/81100
url http://sedici.unlp.edu.ar/handle/10915/81100
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.2017.81002
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
15-25
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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