Title
Time fractional of nonlinear heat-wave propagation in a rigid thermal conductor: Numerical treatment
Author's Department
Mathematics & Actuarial Science Department
Document Type
Research Article
Publication Title
Alexandria Engineering Journal
Publication Date
Winter 12-1-2022
doi
https://doi.org/10.1016/j.aej.2022.03.034
Abstract
The objective of this article is to present the time-fractional nonlinear one-dimensional equations of damped heat wave propagation in a rigid thermal conductor slab and predicts the dependence of second sound velocity on temperature and heat flux. An efficient numerical method is presented for solving the proposed model. This method is a kind of non-standard finite difference weighted average. The numerical properties (stability, truncation error) of the proposed scheme are well investigated. The effectiveness of the numerical scheme is illustrated through test numerical examples.
First Page
10153
Last Page
10159
Recommended Citation
N.H. Sweilam, M.M. Abou Hasan, S.M. Al-Mekhlafi, S.A. Alkhatib, Time fractional of nonlinear heat-wave propagation in a rigid thermal conductor: Numerical treatment, Alexandria Engineering Journal, Volume 61, Issue 12, 2022, Pages 10153-10159, ISSN 1110-0168, https://doi.org/10.1016/j.aej.2022.03.034