A Conservative Numerical Method for a Class of Unstable Nonlinear Schrodinger Equation

摘要：

This paper is concerned with the numerical solution to a class of unstable nonlinear Schrodinger equations. A conservative numerical scheme is devised, and three of its discrete conservation laws are proved. Meanwhile, stability and convergence of such scheme with second order convergence rate of time and space are proved by the energy method. In addition, a numerical example is given to demonstrate the accuracy and efficiency of the proposed method.

关键词： UNLS equation finite difference method conservative law convergence

作者: ZhenWang Xia Huang

作者单位: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China College of College of Information and Electrical Shandong University of Science and Technology, Qingdao 266510,

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 204-208

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）