Higher-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation

被引：1
|
作者：
Tian, Zhihui [1 ,2 ]
Ran, Maohua [1 ,2 ,3 ]
Liu, Yang [1 ,2 ]
机构：
[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China
[2] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610068, Peoples R China
[3] Aba Teachers Univ, Sch Math, Aba 623002, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 135卷
关键词：
Fourth-order nonlinear strain wave equation; Scalar auxiliary variable; High-order energy-preserving scheme; Boundedness; Convergence; NUMERICAL-SOLUTION;
D O I：
10.1016/j.camwa.2023.01.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focus on construction of high-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation with an energy conservation law. This target model is firstly transformed into an equivalent system by using the method of trigonometric scalar auxiliary variables. The resulting equivalent system possess a modified energy conservation law, and a fourth-order difference scheme with analogously discrete energy conservation law is developed based on the resulting equivalent system. The boundedness and convergence of the numerical solutions in the maximum norm are shown. The effectiveness of the difference scheme is verified by several numerical experiments.
引用
收藏
页码：124 / 133
页数：10
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