Abstract
The relationship between the local temperature and the local heat flux has been established for the homogeneous heat equation, which takes into account the dual-phase-lag. This relationship has been written in the form of a convolution integral, involving the modified Bessel functions. Thus, the integral equation obtained has been solved numerically for processes of surface heatingwith time scale in the order of picoseconds. The results have been compared with the results obtained from the classical equation of heat conduction (parabolic heat transfer), the hyperbolic heat transfer equation with single-phase-lag, and the numerical solution of the heat equation with dual-phase-lag, which were obtained using the finite difference method.
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