A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers? equation

被引：7

作者：

Abbaszadeh, Mostafa ^{[1
,2
]}

Zaky, Mahmoud A. ^{[3
,4
]}

Hendy, Ahmed S. ^{[5
,6
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran Polytech, 424 Hafez Ave, Tehran 15914, Iran

[2] Kyung Hee Univ, Kyungheedae Ro 26, Seoul 02447, South Korea

[3] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[4] Natl Res Ctr, Dept Appl Math, Cairo 12622, Egypt

[5] Ural Fed Univ, Inst Nat Sci & Math, Computat Math & Comp Sci, 19 Mira St, Ekaterinburg 620002, Russia

[6] Benha Univ, Fac Sci, Dept Math, Banha 13511, Egypt

来源：

APPLIED NUMERICAL MATHEMATICS | 2023年 / 187卷

关键词：

Two-grid technique; Rosenau-Burgers? equation; Spectral element method; Error estimate; CONSERVATIVE DIFFERENCE SCHEME; FINITE-ELEMENT SCHEME; HIGH-ORDER; CONVERGENCE; DISCRETIZATIONS; 2ND-ORDER; ALGORITHM; MOTION;

D O I：

10.1016/j.apnum.2023.02.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical formulation with second-order accuracy in the time direction and spectral accuracy in the space variable is proposed for solving a nonlinear high-dimensional Rosenau-Burgers equation. We show how the spectral element method and the two-grid idea can be used together. The two-grid idea is combined with the spectral element method for simulating the nonlinear high-dimensional Rosenau-Burgers' equation. The proposed technique is based on the three-level algorithm. The existence and uniqueness of the solutions to Steps 1, 2, and 3 are investigated and also the error analysis is discussed.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：262 / 276

页数：15

共 43 条

[1] The proper orthogonal decomposition modal spectral element method for two-dimensional viscoelastic equation [J].