A new linearized fourth-order conservative compact difference scheme for the SRLW equations

被引：10

作者：

He, Yuyu ^{[1
]}

Wang, Xiaofeng ^{[1
]}

Zhong, Ruihua ^{[1
]}

机构：

[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2022年 / 48卷 / 03期

关键词：

SRLW equations; Reduction order method; Linearized compact difference scheme; Conservation; Convergence; REGULARIZED-LONG-WAVE;

D O I：

10.1007/s10444-022-09951-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel three-point fourth-order compact operator is considered to construct new linearized conservative compact finite difference scheme for the symmetric regularized long wave (SRLW) equations based on the reduction order method with three-level linearized technique. The discrete conservative laws, boundedness and unique solvability are studied. The convergence order O(tau(2) + h(4)) in the L-infinity-norm and stability of the present compact scheme are proved by the discrete energy method. Numerical examples are given to support the theoretical analysis.

引用

页数：34

共 27 条

[1]

[柏琰 Bai Yan], 2012, [应用数学学报, Acta Mathematicae Applicatae Sinica], V35, P458

[2] NEW SIMILARITY REDUCTIONS AND PAINLEVE ANALYSIS FOR THE SYMMETRIC REGULARIZED LONG-WAVE AND MODIFIED BENJAMIN-BONA-MAHONEY EQUATIONS [J].

CLARKSON, PA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :3821-3848

[3] The existence of global attractors for a system of multi-dimensional symmetric regularized wave equations [J].

Fang Shaomei ;

Guo Boling ;

Qiu Hua .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (01) :61-68

[4]

Guo B., 1965, ACTA MATH SIN, V17, P242

[5]

GUO BL, 1987, J COMPUT MATH, V5, P297

[6] Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation [J].

He, Yuyu ;

Wang, Xiaofeng ;

Cheng, Hong ;

Deng, Yaqing .

APPLIED MATHEMATICS AND COMPUTATION, 2022, 418

[7] Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation [J].

Hu, Jinsong ;

Zheng, Kelong ;

Zheng, Maobo .

APPLIED MATHEMATICAL MODELLING, 2014, 38 (23) :5573-5581

[8] A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism [J].

Ji, Bingquan ;

Zhang, Luming ;

Sun, Qihang .

APPLIED NUMERICAL MATHEMATICS, 2020, 154 :90-103

[9] Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation [J].

Kerdboon, J. ;

Yimnet, S. ;

Wongsaijai, B. ;

Mouktonglang, T. ;

Poochinapan, K. .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (05) :869-902

[10]

[孔令华 KONG Linghua], 2006, [计算物理, Chinese Journal of Computational Physics], V23, P25

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