Difference schemes for numerical solutions of lagging models of heat conduction
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Title: | Difference schemes for numerical solutions of lagging models of heat conduction |
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Authors: | Cabrera Sánchez, Jesús | Castro, María Ángeles | Rodríguez, Francisco | 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: | Non-Fourier heat conduction | DPL models | Finite differences | Convergence and stability |
Knowledge Area: | Matemática Aplicada |
Issue Date: | Apr-2013 |
Publisher: | Elsevier |
Citation: | Mathematical and Computer Modelling. 2013, 57(7-8): 1625-1632. doi:10.1016/j.mcm.2011.10.048 |
Abstract: | Non-Fourier models of heat conduction are increasingly being considered in the modeling of microscale heat transfer in engineering and biomedical heat transfer problems. The dual-phase-lagging model, incorporating time lags in the heat flux and the temperature gradient, and some of its particular cases and approximations, result in heat conduction modeling equations in the form of delayed or hyperbolic partial differential equations. In this work, the application of difference schemes for the numerical solution of lagging models of heat conduction is considered. Numerical schemes for some DPL approximations are developed, characterizing their properties of convergence and stability. Examples of numerical computations are included. |
URI: | http://hdl.handle.net/10045/44393 |
ISSN: | 0895-7177 (Print) | 1872-9479 (Online) |
DOI: | 10.1016/j.mcm.2011.10.048 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/j.mcm.2011.10.048 |
Appears in Collections: | INV - MODDE - Artículos de Revistas INV - EDR - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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2013_Cabrera_etal_MCM_final.pdf | Versión final (acceso restringido) | 1,02 MB | Adobe PDF | Open Request a copy |
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