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

被引：5
|
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.
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收藏
页数：34
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