A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation

被引：7
|
作者：
Li, Shuguang [1 ]
Wang, Jue [1 ]
Luo, Yuesheng [1 ]
机构：
[1] Harbin Engn Univ, Sch Sci, Harbin 150001, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
NONLINEAR SCHRODINGER-EQUATION; NUMERICAL-SOLUTION; GALERKIN METHOD; LONG;
D O I：
10.1155/2015/960602
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The generalized regularized long-wave (GRLW) equation is studied by finite difference method. A new fourth-order energy conservative compact finite difference scheme was proposed. It is proved by the discrete energy method that the compact scheme is solvable, the convergence and stability of the difference schemes are obtained, and its numerical convergence order is.. (tau(2) + h(4)) in the L-infinity-norm. Further, the compact schemes are conservative. Numerical experiment results show that the theory is accurate and the method is efficient and reliable.
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页数：9
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