Numerical approximation of solution for the coupled nonlinear Schrödinger equations

被引：0
|
作者：
Juan Chen
Lu-ming Zhang
机构：
[1] Changshu Institute of Technology,Department of Mathematics and Statistics
[2] Nanjing university of Aeronautics and Astronautics,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2017年 / 33卷
关键词：
coupled nonlinear Schrödinger equations; compact finite difference scheme; conservation; convergence in maximum norm; 65M06; 65M30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, a compact finite difference scheme for the coupled nonlinear Schrödinger equations is studied. The scheme is proved to conserve the original conservative properties. Unconditional stability and convergence in maximum norm with order O(τ2 + h4) are also proved by the discrete energy method. Finally, numerical results are provided to verify the theoretical analysis.
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页码：435 / 450
页数：15
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