Effective numerical technique applied for Burgers' equation of (1+1)-, (2+1)-dimensional, and coupled forms

被引：6

作者：

Mohamed, Norhan A. ^{[1
]}

Rashed, Ahmed S. ^{[1
,2
]}

Melaibari, Ammar ^{[3
]}

Sedighi, Hamid M. ^{[4
]}

Eltaher, Mohamed A. ^{[3
,5
]}

机构：

[1] Zagazig Univ, Fac Engn, Dept Phys & Engn Math, Zagazig, Egypt

[2] Delta Univ Sci & Technol, Fac Engn, Gamasa, Egypt

[3] King Abdulaziz Univ, Fac Engn, Mech Engn Dept, Jeddah, Saudi Arabia

[4] Shahid Chamran Univ Ahvaz, Dept Mech Engn, Fac Engn, POB 61357-43337, Ahvaz, Iran

[5] Zagazig Univ, Fac Engn, Mech Design & Prod Dept, POB 44519, Zagazig, Egypt

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 13期

关键词：

backward differentiation formula; Burgers' equation; generalized differential quadrature method; Reynold' s number;

D O I：

10.1002/mma.7395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical scheme based on backward differentiation formula (BDF) and generalized differential quadrature method (GDQM) has been developed. The proposed scheme has been employed to investigate three cases of Burgers' equation, one-dimensional, two-dimensional, and two-dimensional coupled models. The results showed effectiveness accuracy in absolute error and error norms L-2 and L-infinity compared to other methods. The results were evaluated at different values of Reynold's number, Re, and viscosity, nu.

引用

页码：10135 / 10153

页数：19

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