Existence and uniqueness of the modified error function

This article is devoted to the proof of the existence and uniqueness of the modified error function introduced in Cho and Sunderland (1974). This function is defined as the solution to a nonlinear second order differential problem depending on a real parameter. We prove here that this problem has a...

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Autores principales: Ceretani, Andrea Noemí, Salva, Natalia Nieves, Tarzia, Domingo Alberto
Formato: Articulo article acceptedVersion
Lenguaje:Inglés
Publicado: Elsevier 2017
Materias:
Modified error function
Error function
Phase change problem
Temperature dependent thermal conductivity
Nonlinear second order ordinary differential equation
Ciencias Puras
Acceso en línea:http://rdi.uncoma.edu.ar/handle/uncomaid/17149
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Repositorio Institucional UNCo de Universidad Nacional del Comahue
id I22-R178-uncomaid-17149
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spelling I22-R178-uncomaid-171492023-10-18T13:53:04Z Existence and uniqueness of the modified error function Ceretani, Andrea Noemí Salva, Natalia Nieves Tarzia, Domingo Alberto Modified error function Error function Phase change problem Temperature dependent thermal conductivity Nonlinear second order ordinary differential equation Ciencias Puras This article is devoted to the proof of the existence and uniqueness of the modified error function introduced in Cho and Sunderland (1974). This function is defined as the solution to a nonlinear second order differential problem depending on a real parameter. We prove here that this problem has a unique non-negative analytic solution when the parameter assumes small positive values. Fil: Ceretani, Andrea Noemí. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemática; Argentina. Fil: Ceretani, Andrea Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Ceretani, Andrea Noemí. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Departamento de Matemática; Argentina. Fil: Salva, Natalia Nieves. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche. Departamento de Mecánica Computacional; Argentina. Fil: Salva, Natalia Nieves. Universidad Nacional del Comahue. Centro Regional Universitario Bariloche. Departamento de Matemática; Argentina. Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemática; Argentina. Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. 2017-03-01 2023-05-11T15:25:18Z 2023-05-11T15:25:18Z Articulo article acceptedVersion 1873-5452 http://rdi.uncoma.edu.ar/handle/uncomaid/17149 eng https://www.sciencedirect.com/science/article/pii/S0893965917300666?via%3Dihub Atribución-NoComercial-CompartirIgual 2.5 Argentina https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ application/pdf application/pdf Elsevier Applied Mathematics Letters. Vol. 70 August (2017)
institution Universidad Nacional del Comahue
institution_str I-22
repository_str R-178
collection Repositorio Institucional UNCo
language Inglés
topic Modified error function
Error function
Phase change problem
Temperature dependent thermal conductivity
Nonlinear second order ordinary differential equation
Ciencias Puras
spellingShingle Modified error function
Error function
Phase change problem
Temperature dependent thermal conductivity
Nonlinear second order ordinary differential equation
Ciencias Puras
Ceretani, Andrea Noemí
Salva, Natalia Nieves
Tarzia, Domingo Alberto
Existence and uniqueness of the modified error function
topic_facet Modified error function
Error function
Phase change problem
Temperature dependent thermal conductivity
Nonlinear second order ordinary differential equation
Ciencias Puras
description This article is devoted to the proof of the existence and uniqueness of the modified error function introduced in Cho and Sunderland (1974). This function is defined as the solution to a nonlinear second order differential problem depending on a real parameter. We prove here that this problem has a unique non-negative analytic solution when the parameter assumes small positive values.
format Articulo
article
acceptedVersion
author Ceretani, Andrea Noemí
Salva, Natalia Nieves
Tarzia, Domingo Alberto
author_facet Ceretani, Andrea Noemí
Salva, Natalia Nieves
Tarzia, Domingo Alberto
author_sort Ceretani, Andrea Noemí
title Existence and uniqueness of the modified error function
title_short Existence and uniqueness of the modified error function
title_full Existence and uniqueness of the modified error function
title_fullStr Existence and uniqueness of the modified error function
title_full_unstemmed Existence and uniqueness of the modified error function
title_sort existence and uniqueness of the modified error function
publisher Elsevier
publishDate 2017
url http://rdi.uncoma.edu.ar/handle/uncomaid/17149
work_keys_str_mv AT ceretaniandreanoemi existenceanduniquenessofthemodifiederrorfunction
AT salvanatalianieves existenceanduniquenessofthemodifiederrorfunction
AT tarziadomingoalberto existenceanduniquenessofthemodifiederrorfunction
_version_ 1807224695698751488

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