STABILITY AND ERROR OF THE NEW NUMERICAL SOLUTION OF FRACTIONAL RIESZ SPACE TELEGRAPH EQUATION WITH TIME DELAY

被引：1

作者：

Asl, Malek A. ^{[1
]}

Saei, Farhad D. ^{[1
]}

Javidi, Mohammad ^{[1
]}

Mahmoudi, Yaghoub ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Fac Sci, Tabriz Branch, Tabriz, Iran

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2022年 / 37卷 / 01期

关键词：

fractional telegraph equation; delay equation; polynomial approximation; Riesz fractional equation; stability and convergence; SPECTRAL COLLOCATION;

D O I：

10.22190/FUMI210401012A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a numerical method for Riesz space fractional telegraph equation with time delay. The Riesz fractional telegraph equation is approximated with the interpolating polynomial P2. First a system of fractional differential equations are obtained from the telegraph equation with respect to the time variable. Then our numerical algorithm is proposed. The convergence order and stability of the fractional order algorithms are proved. Finally, some numerical examples are constructed to describe the usefulness and profitability of the numerical method. Numerical results show that the accuracy of order O(Delta t(3)).

引用

页码：137 / 158

页数：22

共 50 条

[21] A numerical approximation for the solution of a time{fractional telegraph equation by the moving least squares approach
Hajinezhad, Haniye
Soheili, Ali R.
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (04): : 716 - 726
[22] Extended cubic B-splines in the numerical solution of time fractional telegraph equation
Tayyaba Akram
Muhammad Abbas
Ahmad Izani Ismail
Norhashidah Hj. M. Ali
Dumitru Baleanu
Advances in Difference Equations, 2019
[23] Extended cubic B-splines in the numerical solution of time fractional telegraph equation
Akram, Tayyaba
Abbas, Muhammad
Ismail, Ahmad Izani
Ali, Norhashidah Hj M.
Baleanu, Dumitru
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[24] The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation
Mohebbi, Akbar
Abbaszadeh, Mostafa
Dehghan, Mehdi
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (08) : 1636 - 1659
[25] Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space
Jiang, Wei
Lin, Yingzhen
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (09) : 3639 - 3645
[26] Numerical Solution of the Two-Sided Space-Time Fractional Telegraph Equation Via Chebyshev Tau Approximation
Bhrawy, Ali H.
Zaky, Mahmoud A.
Tenreiro Machado, Jose A.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (01) : 321 - 341
[27] Numerical solution for the linear time and space fractional diffusion equation
El Danaf, Talaat S.
JOURNAL OF VIBRATION AND CONTROL, 2015, 21 (09) : 1769 - 1777
[28] NUMERICAL SOLUTION OF FRACTIONAL TELEGRAPH EQUATION VIA THE TAU METHOD
Saadatmandi, Abbas
Mohabbati, Mohadeseh
MATHEMATICAL REPORTS, 2015, 17 (02): : 155 - 166
[29] Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Diffusion Equation
Yuxin Zhang
Hengfei Ding
Communications on Applied Mathematics and Computation, 2020, 2 : 57 - 72
[30] Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Diffusion Equation
Zhang, Yuxin
Ding, Hengfei
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2020, 2 (01) : 57 - 72

← 1 2 3 4 5 →