Numerical solutions to the fractional-order wave equation

被引：6

作者：

Khader, M. M. ^{[1
,2
]}

Inc, Mustafa ^{[3
,4
]}

Adel, M. ^{[5
,6
]}

Akinlar, M. Ali ^{[7
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh 11566, Saudi Arabia

[2] Benha Univ, Fac Sci, Dept Math, Banha, Egypt

[3] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[4] China Med Univ, Dept Med Res, Taichung, Taiwan

[5] Islamic Univ Madinah, Fac Sci, Dept Math, Medina, Saudi Arabia

[6] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

[7] Bandirma Onyedi Eylul Univ, Fac Engn & Nat Sci, Engn Sci Dept, TR-10200 Bandirma, Balikesir, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2023年 / 34卷 / 05期

关键词：

Fractional-order wave equation; Von Neumann type stability; Crank-Nicholson method; DERIVATIVES;

D O I：

10.1142/S0129183123500675

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

New numerical solution to the linear fractional-order wave equation is presented. The Liouville-Caputo sense fractional-derivative operator and Crank-Nicholson finite difference method (CN-FDM) algorithm are employed. The stability of the present technique is considered by the fractional Von Neumann stability analysis method. Special example as an application of the method is provided. The obtained results are examined to check the derived stability condition of the proposed algorithm. Computational results indicate that the present numerical algorithm is efficient and applicable for the problem under study and many other problems.

引用

页数：10

共 25 条

[1] Generalized Lucas polynomial sequence approach for fractional differential equations [J].