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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Detalles Bibliográficos
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
Aporte de:
Repositorio Institucional UNCo de Universidad Nacional del Comahue
Descripción
Sumario: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.

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