Solving Coupled Nonlinear Schrodinger Equations using Cubic B-spline Interpolation and Finite Difference Methods

被引：0
|
作者：
Anuar, Hanis Safirah Saiful [1 ]
Azmi, Amirah [1 ]
Abd Hamid, Nur Nadiah [1 ]
Abd Majid, Ahmad [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Gelugor 11800, Penang, Malaysia
来源：
PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE | 2018年 / 1974卷
关键词：
Coupled Nonlinear Schrodinger equations; Cubic B-spline; Interpolation method; NUMERICAL-SOLUTION;
D O I：
10.1063/1.5041626
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Coupled Nonlinear Schrodinger equations are solved numerically using the cubic B-spline (CuBS) interpolation method and finite difference method (FDM). The CuBS method is utilized as an interpolating function in the spatial dimension while the FDM is applied to discretize the temporal space. Applying the Von Neumann stability analysis, these schemes are tested to ensure their stabilities. A numerical example is discussed and compared with exact solutions and results from the FDM. It showed that CuBS interpolation method and FDM are very encouraging and can be conveniently used to solve problem.
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页数：8
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