Numerical solution of the coupled viscous Burgers equations by Chebyshev-Legendre Pseudo-Spectral method

被引：18
|
作者：
Rashid, Abdur [1 ]
Abbas, Muhammad [2 ]
Ismail, Ahmad Izani Md. [3 ]
Abd Majid, Ahmad [3 ]
机构：
[1] Gomal Univ, Dept Math, Dera Ismail Khan 29100, Pakistan
[2] Univ Sargodha, Dept Math, Sargodah 40100, Pakistan
[3] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 245卷
关键词：
Coupled viscous Burgers equations; Chebyshev-Legendre Pseudo-Spectral method; Semi-discrete scheme and fully-discrete scheme;
D O I：
10.1016/j.amc.2014.07.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider Chebyshev-Legendre Pseudo-Spectral (CLPS) method for solving coupled viscous Burgers (VB) equations. A leapfrog scheme is used in time direction, while CLPS method is used for space direction. Chebyshev-Gauss-Lobatto (CGL) nodes are used for practical computation. The error estimates of semi-discrete and fully-discrete of CLPS method for coupled VB equations are obtained by energy estimation method. The numerical results of the present method are compared with the exact solution for two test problems. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：372 / 381
页数：10
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