Study of Time Fractional Burgers' Equation using Caputo, Caputo-Fabrizio and Atangana-Baleanu Fractional Derivatives

被引：0
|
作者：
Doley, Swapnali [1 ]
Kumar, A. Vanav [1 ]
Singh, Karam Ratan [1 ]
Jino, L. [1 ]
机构：
[1] Natl Inst Technol Arunachal Pradesh, Dept Basic & Appl Sci, Itanagar, Arunachal Prade, India
来源：
ENGINEERING LETTERS | 2022年 / 30卷 / 03期
关键词：
Caputo; Caputo-Fabrizio; Atangana-Baleanu; time fractional; Burgers' equation; APPROXIMATION;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a numerical study of time-fractional based Burgers' equation (TFBE) by using Caputo fractional derivatives (CFD), Caputo-Fabrizio fractional derivatives (CFFD), and Atangana-Baleanu fractional derivatives (ABFD) is carried out. The TFBE is solved using an implicit upwind scheme based on the finite difference method (IFDM). After verifying the IFDM scheme against the stability and convergence, the numerical solutions that are derived and validated with the exact solution and also compared with the CFD, CFFD, and ABFD models.
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页数：8
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