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DOI码：10.4208/eajam.070921.150222

发表刊物：East Asian Journal on Applied Mathematics

关键字：Finite difference scheme, time-fractional telegraph equation, transmission line modeling, non-smooth initial value

摘要：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.

论文类型：期刊论文

学科门类：理学

文献类型：J

卷号：12

期号：4

页面范围：821-847

是否译文：否

发表时间：2022-05-18

收录刊物：SCI