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

Facta Universitatis. Series Mathematics and Informatics

article

Malek A. Asl¹  Farhad D. Saei¹  Mohammad Javidi¹  Yaghoub Mahmoudi¹ 

[1] Faculty of Science, Department of Mathematics Tabriz Branch, Islamic Azad University

关键词: Fractional telegraph equation;    Delay equation;    Polynomial approximation;    Riesz fractional equation;    Stability and convergence.;   

DOI  :  10.22190/FUMI210401012A

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 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(t3).

【 授权许可】

Unknown