Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system

被引：0
|
作者：
Mei, Yanhua [1 ]
An, Rong [1 ]
机构：
[1] College of Mathematics and Physics, Wenzhou University, Wenzhou,325035, China
来源：
Computers and Mathematics with Applications | 2022年 / 122卷
基金：
中国国家自然科学基金;
关键词：
Errors;
D O I：
暂无
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
This paper aims to study two kinds of second-order BDF finite element schemes for a coupled nonlinear Schrödinger system. The proposed schemes are semi-implicit schemes where nonlinear terms are linearized by the implicit-explicit method and explicit method, respectively. We prove that error estimates in L2-norm are unconditionally optimal which means that there is no restriction of the time step and mesh size. Finally, numerical results are given to illustrate theoretical analysis. © 2022 Elsevier Ltd
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页码：117 / 125
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