Title : ( A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank-Nicolson method )
Authors: H. Hajinezhad , Ali Reza Soheili ,
Full TextAbstract
In this paper, a two-dimensional time-fractional telegraph equation is considered with derivative in the sense of Caputo and 1 < β < 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.
Keywords
, Time, Fractional Telegraph Equation; Crank–Nicolson Method; Stability; Convergence
@article{paperid:1092063,
author = {H. Hajinezhad and Soheili, Ali Reza},
title = {A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank-Nicolson method},
journal = {Iranian Journal of Numerical Analysis and Optimization},
year = {2022},
month = {September},
issn = {2423-6977},
keywords = {Time-Fractional Telegraph Equation; Crank–Nicolson Method; Stability; Convergence},
}
%0 Journal Article
%T A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank-Nicolson method
%A H. Hajinezhad
%A Soheili, Ali Reza
%J Iranian Journal of Numerical Analysis and Optimization
%@ 2423-6977
%D 2022
