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D. W. Tang and N. Araki, “Wavy, Wavelike, Diffusive Thermal Responses of Finite Rigid Slabs to High-Speed Heating of Laser-Pulses,” International Journal of Heat and Mass Transfer, Vol. 42, No. 5, 1999, pp. 855-860. doi:10.1016/S0017-9310(98)00244-0

has been cited by the following article:

• TITLE: Green’s Function Solution for the Dual-Phase-Lag Heat Equation

  AUTHORS: Reem Alkhairy

  KEYWORDS: Dual-Phase-Lag Heat Conduction; Green’s Function; Integral Transforms

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10, October 12, 2012

  ABSTRACT: The present work is devoted to define a generalized Green’s function solution for the dual-phase-lag model in homogeneous materials in a unified manner .The high-order mixed derivative with respect to space and time which reflect the lagging behavior is treated in special manner in the dual-phase-lag heat equation in order to construct a general solution applicable to wide range of dual-phase-lag heat transfer problems of general initial-boundary conditions using Green’s function solution method. Also, the Green’s function for a finite medium subjected to arbitrary heat source and arbitrary initial and boundary conditions is constructed. Finally, four examples of different physical situations are analyzed in order to illustrate the accuracy and potentialities of the proposed unified method. The obtained results show good agreement with works of [1-4].