|本期目录/Table of Contents|

[1]靳珊,梁宗旗.分数阶非线性Schrodinger方程的守恒算法[J].集美大学学报(自然科学版),2021,26(5):465-471.
　JIN Shan,LIANG Zongqi.A Conservative Method for the Fractional Nonlinear Schrodinger Equation[J].Journal of Jimei University,2021,26(5):465-471.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第26卷
期数:
2021年第5期
页码:
465-471
栏目:
数理科学与信息工程
出版日期:
2021-09-28

文章信息/Info

Title:
A Conservative Method for the Fractional Nonlinear Schrodinger Equation
作者:
靳珊; 梁宗旗
(集美大学理学院，福建 厦门 361021)
Author(s):
JIN Shan; LIANG Zongqi
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
分数阶非线性Schrodinger方程; 谱方法; 守恒律; 收敛性; 数值实验
Keywords:
fractional nonlinear Schrdinger equation; spectral method; conservation; convergence; numerical experiment
分类号:
-
DOI:
-
文献标志码:
A
摘要:
利用傅里叶谱方法对空间分数阶非线性Schrodinger方程进行数值求解，并证明该格式保持了能量和质量的守恒性且无条件稳定。该方法在空间方向具有谱精度,在时间方向具有二阶精度。还对该格式进行误差分析及收敛性分析。最后通过数值实验验证了该算法的守恒性、准确性和有效性。
Abstract:
In this paper,a Fourier spectral method for solving the fractional nonlinear Schrdinger equation with space fractional derivative was proposed.It was proved that the scheme conserved the mass and energy and was unconditionally stable.This method was of spectral accuracy in space and of secondorder accuracy in time.Moreover，the error estimate and convergence of the scheme were also analyzed.Finally，numerical examples were presented to illustrate the conservation，accuracy and validity of the method.

参考文献/References:

相似文献/References:

[1]靳珊,梁宗旗.分数阶非线性Schrodinger方程的时间分裂算法[J].集美大学学报(自然科学版),2018,23(1):63.
　JIN Shan,LIANG Zongqi.Timesplitting Method for the Fractional Nonlinear Schrodinger Equation[J].Journal of Jimei University,2018,23(5):63.

备注/Memo

备注/Memo:
更新日期/Last Update: 2021-11-24