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

Author

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  • M. A. Castro
  • F. Rodríguez
  • J. Escolano
  • J. A. Martín

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.

Suggested Citation

  • M. A. Castro & F. Rodríguez & J. Escolano & J. A. Martín, 2013. "Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, December.
    • Handle: RePEc:hin:jnlaaa:397053
    DOI: 10.1155/2013/397053
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    Cited by:

    1. Jornet, Marc, 2021. "Exact solution to a multidimensional wave equation with delay," Applied Mathematics and Computation, Elsevier, vol. 409(C).

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