Split-step Cubic B-splines Collocation Methods for Nonlinear Schrodinger Equations with Periodic Boundary Conditions

被引：0

作者：

Wang, Shan-shan ^{[1
]}

Zhang, Lu-ming ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Jiangsu, Peoples R China

来源：

2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, SIMULATION AND MODELLING (AMSM 2017) | 2017年 / 162卷

关键词：

Split step; Cubic B-splines; Periodic boundary conditions;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we construct a new method for the nonlinear Schrodinger equation by combining the split-step technique with the cubic B-splines collocation (3BC) method. Numerical experiments are carried out to check the numerical performance of the proposed split-step 3BC methods for both one-dimensional (1D) and two-dimensional (2D) problems. The numerical tests are verified that the present methods are convergent with second-order both in space and time which agree with predict. Numerical results confirm that the proposed split-step 3BC methods are reliable and efficient.

引用

页码：179 / 183

页数：5

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