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Abstract and Applied Analysis
Volume 2013, Article ID 397053, 6 pages
Research Article

Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium

Departamento Matemática Aplicada, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain

Received 1 November 2013; Accepted 4 December 2013

Academic Editor: L. Jódar

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.


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.