Numerical solution to a one-dimensional nonlinear problem of heat wave propagation in a rigid thermal conducting slab
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Indian Journal of Physics
This work aims at presenting a new numerical solution to a nonlinear, one-dimensional problem of heat wave propagation in a thick slab of a rigid thermal conductor. The model predicts dependence of second sound velocity on temperature and heat flux. For this, an unconditionally stable numerical scheme is constructed using a kind of weighted average nonstandard finite difference discretization. Stability analysis of this scheme is studied by von Neumann technique, and its accuracy is proved. Numerical simulations are given for all quantities of physical interest to confirm the reliability of the proposed method. The model and the numerical results shed light on characteristics of heat wave propagation within the theory of extended thermodynamics.
(2021). Numerical solution to a one-dimensional nonlinear problem of heat wave propagation in a rigid thermal conducting slab. Indian Journal of Physics,
Sweilam, N. H., et al.
"Numerical solution to a one-dimensional nonlinear problem of heat wave propagation in a rigid thermal conducting slab." Indian Journal of Physics, 2021,