The analysis of operator splitting for the Gardner equation

被引：2
|
作者：
Zhao, Jingjun [1 ]
Zhan, Rui [1 ]
Xu, Yang [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2019年 / 144卷
基金：
中国国家自然科学基金;
关键词：
Operator splitting; Strang splitting; Convergence; Gardner equation; DE-VRIES EQUATION; NUMERICAL-SOLUTION; WAVE-PROPAGATION; KORTEWEG; POSEDNESS; SCHEMES;
D O I：
10.1016/j.apnum.2019.04.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the convergence property of the Strang splitting for the Gardner equation. We assume that the Gardner equation is locally well-posed and the solution is bounded. We first obtain the regularity properties of the nonlinear divided equation. With these regularity properties, the Strang splitting is proved to converge at the expected rate in L-2. Numerical experiments demonstrate the theoretical result and serve to compare the accuracy and efficiency of different time stepping methods. Finally, the proposed method is applied to simulate the multi solitons collisions for the Gardner equation. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：151 / 175
页数：25
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