Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation

被引：10

作者：

Heydari, M. H. ^{[1
]}

Avazzadeh, Z. ^{[2
]}

Atangana, A. ^{[3
,4
]}

机构：

[1] Shiraz Univ Technol, Dept Math, Shiraz, Iran

[2] Xian Jiaotong Liverpool Univ, Dept Appl Math, Suzhou 215123, Jiangsu, Peoples R China

[3] Univ Free State, Fac Nat & Agr Sci, Bloemfontein, South Africa

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 08期

关键词：

derivatives operational matrices; fractal-fractional fifth-order KdV equation; Vieta-Fibonacci (VF) polynomials;

D O I：

10.1002/mma.7219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the fractal-fractional (FF) version of the fifth-order KdV equation is introduced. The shifted Vieta-Fibonacci (VF) polynomials are generated and adopted to establish a simple and accurate numerical method for solving this equation. To this end, the operational matrices of ordinary and FF derivatives of these polynomials are obtained in explicit forms. These matrices together with the series expansion of the shifted VF polynomials are mutually utilized to convert the original equation into a system of algebraic equations which is much easier. Some numerical examples are examined to show the power and accuracy of the method.

引用

页码：6716 / 6730

页数：15

共 45 条

[1] Numerical Study and Chaotic Analysis of Meminductor and Memcapacitor Through Fractal-Fractional Differential Operator [J].