Year: 2022
Author: Wang Kong, Zhongyi Huang
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 821–847
Abstract
The stability and uniqueness of the solutions of time-fractional telegraph equations arising in the transmission line modeling are proved. The corresponding initial-boundary problems are then solved by a finite difference scheme. It is shown that the scheme is unconditionally stable and convergent. Computational efficiency of the method can be enhanced by transforming it into two finite volume schemes for solving two uncoupled time-fractional convection equations. Numerical experiments validate the theoretical results and show the efficiency of this approach even for the problems the solutions of which are not smooth at the initial moment.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.070921.150222
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 821–847
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Finite difference scheme time-fractional telegraph equation transmission line modeling non-smooth initial value.