A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank-Nicolson method
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-12-23_007
تاریخ نمایه سازی: 17 آبان 1401
Abstract:
In this paper, a two-dimensional time-fractional telegraph equation is considered with derivative in the sense of Caputo and ۱<\beta<۲. 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.
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Authors
Haniye Hajinezhad
Department of Mathematics, Payame Noor University, Tehran, Iran
Ali R. Soheili
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.