A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method

Iranian Journal of Numerical Analysis and Optimization

مقاله 7، دوره 12، Issue 3 (Special Issue) - On the occasion of the 75th birthday of Professor A. Vahidian and Professor F. Toutounian - شماره پیاپی 23، بهمن 2022، صفحه 607-628   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2022.77142.1154

نویسندگان

H. Hajinezhad^{* 1}؛ A.R. Soheili²

¹Department of Mathematics, Payame Noor University, Tehran, Iran.

²Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

چکیده

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.

کلیدواژه‌ها

Time-Fractional Telegraph Equation؛ Crank–Nicolson Method؛ Stability؛ Convergence

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