Unconditional L∞ convergence of a conservative compact finite difference scheme for the N-coupled Schrodinger-Boussinesq equations

被引：10

作者：

Liao, Feng ^{[1
]}

Zhang, Luming ^{[2
]}

Wang, Tingchun ^{[3
]}

机构：

[1] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 211106, Jiangsu, Peoples R China

[3] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2019年 / 138卷

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Boussinesq equation; Compact difference scheme; Unconditional convergence; Error estimate in maximum norm; NUMERICAL-ANALYSIS;

D O I：

10.1016/j.apnum.2018.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a conservative compact finite difference scheme is presented for solving the N-coupled nonlinear Schrodinger-Boussinesq equations. By using the discrete energy method, it is proved that our scheme is unconditionally convergent in the maximum norm and the convergent rate is at O(tau(2) + h(4)) with time step tau and mesh size h. Numerical results including the comparisons with other numerical methods are reported to demonstrate the accuracy and efficiency of the method and to confirm our theoretical analysis. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：54 / 77

页数：24

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