Year: 2022
Author: Ji Lin, Sergiy Reutskiy, Wenjie Feng
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 3 : pp. 666–702
Abstract
The aim of this paper is to present the backward substitution method for solving a class of fractional dual-phase-lag models of heat transfer. The proposed method is based on the Fourier series expansion along the spatial coordinate over the orthonormal basis formed by the eigenfunctions of the corresponding Sturm-Liouville problem. This Fourier expansion of the solution transforms the original fractional partial differential equation into a sequence of multi-term fractional ordinary differential equations. These fractional equations are solved by the use of the backward substitution method. The numerical examples with temperature-jump boundary condition and parameters of the tissue confirm the high accuracy and efficiency of the proposed numerical scheme.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2020-0237
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 3 : pp. 666–702
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 37
Keywords: Heat transfer dual-phase-lag model fractional partial differential equation semi-analytical method.