TY - JOUR
T1 - Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling
AU - Kong , Wang
AU - Huang , Zhongyi
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 821
EP - 847
PY - 2022
DA - 2022/08
SN - 12
DO - http://doi.org/10.4208/eajam.070921.150222
UR - https://global-sci.org/intro/article_detail/eajam/20886.html
KW - Finite difference scheme, time-fractional telegraph equation, transmission line modeling, non-smooth initial value.
AB - <p style="text-align: justify;">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.</p>