Exact and analytic-numerical solutions of lagging models of heat transfer in a semi-infinite medium

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Title: Exact and analytic-numerical solutions of lagging models of heat transfer in a semi-infinite medium
Authors: Castro, María Ángeles | Rodríguez, Francisco | Escolano Cerdán, Julio | Martín Alustiza, José Antonio
Research Group/s: Ecuaciones Diferenciales con Retardo | Análisis de Datos y Modelización de Procesos en Biología y Geociencias
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Exact solutions | Analytic-numerical solutions | Lagging models | Heat conduction | Semi-infinite domain
Knowledge Area: Matemática Aplicada
Issue Date: 2013
Publisher: Hindawi Publishing Corporation
Citation: Abstract and Applied Analysis. 2013, Article ID 397053, 6 pages. doi:10.1155/2013/397053
Abstract: Different non-Fourier models of heat conduction have been considered in recent years, in a growing area of applications, to model microscale and ultrafast, transient, nonequilibrium responses in heat and mass transfer. In this work, using Fourier transforms, we obtain exact solutions for different lagging models of heat conduction in a semi-infinite domain, which allow the construction of analytic-numerical solutions with prescribed accuracy. Examples of numerical computations, comparing the properties of the models considered, are presented.
URI: http://hdl.handle.net/10045/34916
ISSN: 1085-3375 (Print) | 1687-0409 (Online)
DOI: 10.1155/2013/397053
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright © 2013 M. A. Castro et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Peer Review: si
Publisher version: http://dx.doi.org/10.1155/2013/397053
Appears in Collections:INV - EDR - Artículos de Revistas
INV - ADMPBG - Artículos de Revistas

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