Multisymplectic numerical method for the regularized long-wave equation

被引：14
|
作者：
Cai, Jiaxiang [1 ]
机构：
[1] Huaiyin Teachers Coll, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2009年 / 180卷 / 10期
关键词：
The regularized long-wave equation; Multisymplectic structure; Preissman scheme; Backward error analysis; Solitons; Undular bore; RLW EQUATION; SOLITARY WAVES; SCHEMES; INTEGRATORS; PDES;
D O I：
10.1016/j.cpc.2009.05.009
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we derive a 6-point multisymplectic Preissman scheme for the regularized long-wave equation from its Bridges' multisymplectic form. Backward error analysis is implemented for the new scheme. The performance and the efficiency of the new scheme are illustrated by solving several test examples. The obtained results are presented and compared with previous methods. Numerical results indicate that the new multisymplectic scheme can not only obtain satisfied solutions, but also keep three invariants of motion very well. (C) 2009 Elsevier B.V. All rights reserved.
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页码：1821 / 1831
页数：11
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