Approximation of the modified error function

Autores
Ceretani, Andrea Noemí; Salva, Natalia Nieves; Tarzia, Domingo Alberto
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we obtain explicit approximations of the modified error function introduced in Cho and Sunderland (1974), as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter δ which is related to the thermal conductivity in the original phase-change process. We propose a method to obtain approximations, which is based on the assumption that the modified error function admits a power series representation in δ. Accurate approximations are obtained through functions involving error and exponential functions only. For the special case in which δ assumes small positive values, we show that the modified error function presents some characteristic features of the classical error function, such as monotony, concavity, and boundedness. Moreover, we prove that the modified error function converges to the classical one when δ goes to zero.
Fil: Ceretani, Andrea Noemí. Universidad Austral. Facultad de Ciencias Empresariales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Nacional del Comahue; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales; Argentina
Materia
ERROR FUNCTION
MODIFIED ERROR FUNCTION
NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATION
PHASE-CHANGE PROBLEM
TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100549
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100549
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Approximation of the modified error functionCeretani, Andrea NoemíSalva, Natalia NievesTarzia, Domingo AlbertoERROR FUNCTIONMODIFIED ERROR FUNCTIONNONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONPHASE-CHANGE PROBLEMTEMPERATURE-DEPENDENT THERMAL CONDUCTIVITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article, we obtain explicit approximations of the modified error function introduced in Cho and Sunderland (1974), as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter δ which is related to the thermal conductivity in the original phase-change process. We propose a method to obtain approximations, which is based on the assumption that the modified error function admits a power series representation in δ. Accurate approximations are obtained through functions involving error and exponential functions only. For the special case in which δ assumes small positive values, we show that the modified error function presents some characteristic features of the classical error function, such as monotony, concavity, and boundedness. Moreover, we prove that the modified error function converges to the classical one when δ goes to zero.Fil: Ceretani, Andrea Noemí. Universidad Austral. Facultad de Ciencias Empresariales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Nacional del Comahue; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales; ArgentinaElsevier Science Inc2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100549Ceretani, Andrea Noemí; Salva, Natalia Nieves; Tarzia, Domingo Alberto; Approximation of the modified error function; Elsevier Science Inc; Applied Mathematics and Computation; 337; 11-2018; 607-6170096-3003CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0096300318304715info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2018.05.054info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:32:44Zoai:ri.conicet.gov.ar:11336/100549instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 14:32:45.082CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Approximation of the modified error function
title Approximation of the modified error function
spellingShingle Approximation of the modified error function
Ceretani, Andrea Noemí
ERROR FUNCTION
MODIFIED ERROR FUNCTION
NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATION
PHASE-CHANGE PROBLEM
TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
title_short Approximation of the modified error function
title_full Approximation of the modified error function
title_fullStr Approximation of the modified error function
title_full_unstemmed Approximation of the modified error function
title_sort Approximation of the modified error function
dc.creator.none.fl_str_mv Ceretani, Andrea Noemí
Salva, Natalia Nieves
Tarzia, Domingo Alberto
author Ceretani, Andrea Noemí
author_facet Ceretani, Andrea Noemí
Salva, Natalia Nieves
Tarzia, Domingo Alberto
author_role author
author2 Salva, Natalia Nieves
Tarzia, Domingo Alberto
author2_role author
author
dc.subject.none.fl_str_mv ERROR FUNCTION
MODIFIED ERROR FUNCTION
NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATION
PHASE-CHANGE PROBLEM
TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
topic ERROR FUNCTION
MODIFIED ERROR FUNCTION
NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATION
PHASE-CHANGE PROBLEM
TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article, we obtain explicit approximations of the modified error function introduced in Cho and Sunderland (1974), as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter δ which is related to the thermal conductivity in the original phase-change process. We propose a method to obtain approximations, which is based on the assumption that the modified error function admits a power series representation in δ. Accurate approximations are obtained through functions involving error and exponential functions only. For the special case in which δ assumes small positive values, we show that the modified error function presents some characteristic features of the classical error function, such as monotony, concavity, and boundedness. Moreover, we prove that the modified error function converges to the classical one when δ goes to zero.
Fil: Ceretani, Andrea Noemí. Universidad Austral. Facultad de Ciencias Empresariales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Nacional del Comahue; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales; Argentina
description In this article, we obtain explicit approximations of the modified error function introduced in Cho and Sunderland (1974), as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter δ which is related to the thermal conductivity in the original phase-change process. We propose a method to obtain approximations, which is based on the assumption that the modified error function admits a power series representation in δ. Accurate approximations are obtained through functions involving error and exponential functions only. For the special case in which δ assumes small positive values, we show that the modified error function presents some characteristic features of the classical error function, such as monotony, concavity, and boundedness. Moreover, we prove that the modified error function converges to the classical one when δ goes to zero.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/100549
Ceretani, Andrea Noemí; Salva, Natalia Nieves; Tarzia, Domingo Alberto; Approximation of the modified error function; Elsevier Science Inc; Applied Mathematics and Computation; 337; 11-2018; 607-617
0096-3003
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100549
identifier_str_mv Ceretani, Andrea Noemí; Salva, Natalia Nieves; Tarzia, Domingo Alberto; Approximation of the modified error function; Elsevier Science Inc; Applied Mathematics and Computation; 337; 11-2018; 607-617
0096-3003
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0096300318304715
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2018.05.054
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc
publisher.none.fl_str_mv Elsevier Science Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.265058

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