@Article{IJNAM-20-391,
author = {Ji , Cui-CuiDai , Weizhong and Mickens , Ronald E.},
title = {A Fractional-Order Alternative for Phase-Lagging Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2023},
volume = {20},
number = {3},
pages = {391--406},
abstract = {<p style="text-align: justify;">Phase-lagging equation (PLE) is an equation describing micro/nano scale heat conduction, where the lagging response must be included, particularly under low temperature or high
heat-flux conditions. However, finding the analytical or numerical solutions of the PLE is tedious
in general. This article aims at seeking a fractional-order heat equation that is a good alternative
for the PLE. To this end, we consider the PLE with simple initial and boundary conditions and
obtain a fractional-order heat equation and an associated numerical method for approximating the
solution of the PLE. In order to better approximate the PLE, the Levenberg-Marquardt iterative
method is employed to estimate the optimal parameters in the fractional-order heat equation.
This fractional-order alternative is then tested and compared with the PLE. Results show that
the fractional method is promising.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2023-1016},
url = {http://global-sci.org/intro/article_detail/ijnam/21539.html}
}