Release time:2022-02-18  Hits:

• DOI number:10.4208/eajam.070921.150222
• Journal:East Asian Journal on Applied Mathematics
• Key Words:Finite difference scheme, time-fractional telegraph equation, transmission line modeling, non-smooth initial value
• 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.
• Indexed by:Journal paper
• Discipline:Natural Science
• Document Type:J
• Volume:12
• Issue:4
• Page Number:821-847
• Translation or Not:no
• Included Journals:SCI
• Date of Publication:2022-05-18