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A high-order extension for the Cattaneo's diffusion equation

Author

Listed:
  • Alvarez-Ramirez, Jose
  • Fernandez-Anaya, Guillermo
  • Valdes-Parada, Francisco J.
  • Alberto Ochoa-Tapia, J.

Abstract

In this paper, a high-order generalization of the diffusion Cattaneo's equation is considered. A class of admissible linear relaxation dynamics is characterized by computing the impedance of a simple diffusion process. Some examples are used to illustrate the results.

Suggested Citation

  • Alvarez-Ramirez, Jose & Fernandez-Anaya, Guillermo & Valdes-Parada, Francisco J. & Alberto Ochoa-Tapia, J., 2006. "A high-order extension for the Cattaneo's diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 345-354.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:345-354
    DOI: 10.1016/j.physa.2005.12.051
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    Cited by:

    1. Fernandez-Anaya, G. & Valdes-Parada, F.J. & Alvarez-Ramirez, J., 2011. "On generalized fractional Cattaneo’s equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4198-4202.
    2. Li, Hui & Jiang, Wei & Li, Wenya, 2019. "Space-time spectral method for the Cattaneo equation with time fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 325-336.

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