Efficient algorithm and convergence analysis of conservative SAV compact difference scheme for Boussinesq Paradigm equation

被引：4
|
作者：
He, Yuyu [1 ,2 ]
Chen, Hongtao [1 ,2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performan, Xiamen 361005, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2022年 / 125卷
基金：
中国国家自然科学基金;
关键词：
Boussinesq Paradigm equation; Compact difference scheme; SAV approach; Conservation; Convergence analysis; CAUCHY-PROBLEM; GLOBAL EXISTENCE; STABILITY;
D O I：
10.1016/j.camwa.2022.08.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct an efficient and conservative compact difference scheme based on the scalar auxiliary variable (SAV) approach for Boussinesq Paradigm (BP) equation. The compact difference scheme preserves the mass and discrete modified energy. We prove uniquely solvability of the compact difference scheme and analyze the bounded estimates of the numerical solution. The rates of convergence of second-order in temporal direction and fourth-order in spatial direction are given by using the discrete energy method in detail. Some numerical experiments are given to verify our theoretical analysis.
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页码：34 / 50
页数：17
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