A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method
نویسندگان
1 Department of Mathematics, Payame Noor University, Tehran, Iran.
2 Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
doi
10.22067/ijnao.2022.77142.1154چکیده
In this paper, a two-dimensional time-fractional telegraph equation is considered with derivative in the sense of Caputo and $ 1<\beta<2$. The aim of this work is to extend the Crank--Nicolson method for this time-fractional telegraph equation. The stability and convergence of the numerical method are investigated. Also, the accuracy and efficiency of the proposed method are demonstrated by numerical experiments.
