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Numerical solution of FSPL heat conduction equation for analysis of thermal propagation

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  • Mishra, T.N.
  • Rai, K.N.

Abstract

The fractional single-phase-lagging (FSPL) heat conduction model is obtained by applying fractional Taylor series formula to the single-phase-lagging (SPL) heat conduction model. Based on the FSPL heat conduction equation, thermal wave propagation within a finite thin film subjected to time-varying and spatially-decaying laser heating at left boundary (x=0) is investigated. The effect of different parameters on temperature solution has been observed. Results were obtained by compact difference scheme. The stability of the numerical scheme has been discussed and observed that the solution is unconditionally stable. The whole analysis is presented in dimensionless form. A numerical example of particular interest has been studied and discussed in details.

Suggested Citation

  • Mishra, T.N. & Rai, K.N., 2016. "Numerical solution of FSPL heat conduction equation for analysis of thermal propagation," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1006-1017.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:1006-1017
    DOI: 10.1016/j.amc.2015.10.082
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    References listed on IDEAS

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    1. Qi, Haitao & Jiang, Xiaoyun, 2011. "Solutions of the space-time fractional Cattaneo diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 1876-1883.
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