Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrodinger equations

被引：26

作者：

Wang, Tingchun ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 14期

关键词：

Coupled nonlinear Schrodinger equations; Finite difference scheme; Convergence in maximum norm; SPLINE COLLOCATION METHODS; VARIABLE-COEFFICIENT; NUMERICAL-SIMULATION; CONSERVATIVE SCHEME; STABILITY; CONVERGENCE; DYNAMICS; SYSTEM; SOLITONS;

D O I：

10.1016/j.cam.2011.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a linearized conservative difference scheme for a coupled nonlinear Schrodinger equations is studied. The discrete energy method and an useful technique are used to analyze the difference scheme. It is shown that the difference solution unconditionally converges to the exact solution with second order in the maximum norm. Numerical experiments are presented to support the theoretical results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：4237 / 4250

页数：14

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