Space-Time Spectral Collocation Method for Solving Burgers Equations with the Convergence Analysis

被引：11

作者：

Huang, Yu ^{[1
]}

Skandari, Mohammad Hadi Noori ^{[2
]}

Mohammadizadeh, Fatemeh ^{[2
]}

Tehrani, Hojjat Ahsani ^{[2
]}

Georgiev, Svetlin Georgiev ^{[3
]}

Tohidi, Emran ^{[4
]}

Shateyi, Stanford ^{[5
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Peoples R China

[2] Shahrood Univ Technol, Fac Math Sci, Shahrood 3619995161, Iran

[3] Sorbonne Univ, Dept Appl Math, F-75005 Paris, France

[4] Kosar Univ Bojnord, Dept Math, POB 9415615458, Bojnord, Iran

[5] Univ Venda, Dept Math & Appl Math, P Bag X5050, ZA-0950 Thohoyandu, South Africa

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Burgers equation; Chebyshev spectral collocation method; Chebyshev-Gauss-Lobatto nodes; convergence analysis; NUMERICAL-SOLUTION; PSEUDOSPECTRAL METHOD; SCHEME; HUXLEY;

D O I：

10.3390/sym11121439

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article deals with a numerical approach based on the symmetric space-time Chebyshev spectral collocation method for solving different types of Burgers equations with Dirichlet boundary conditions. In this method, the variables of the equation are first approximated by interpolating polynomials and then discretized at the Chebyshev-Gauss-Lobatto points. Thus, we get a system of algebraic equations whose solution is the set of unknown coefficients of the approximate solution of the main problem. We investigate the convergence of the suggested numerical scheme and compare the proposed method with several recent approaches through examining some test problems.

引用

页数：24

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