[1]匡立群,孔令华,王 兰,等.2维Ginzburg-Landau方程的分裂LOD高阶紧致格式[J].江西师范大学学报(自然科学版),2017,(01):35-38.
　KUANG Liqun,KONG Linghua,WANG Lan,et al.The Splitting High-Order Compact Scheme for Two-Dimensional Ginzburg-Landau Equation[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(01):35-38.
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2维Ginzburg-Landau方程的分裂LOD高阶紧致格式()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年01期
页码:
35-38
栏目:
出版日期:
2017-01-01

文章信息/Info

Title:
The Splitting High-Order Compact Scheme for Two-Dimensional Ginzburg-Landau Equation
作者:
匡立群; 孔令华; 王 兰; 郑小红
1.江西师范大学数学与信息科学学院,江西 南昌 330022; 2.广东农工商职业技术学院基础部,广东 广州 510507
Author(s):
KUANG Liqun; KONG Linghua; WANG Lan; ZHENG Xiaohong
1.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi,330022,China; 2.Foundation Department,Guangdong AIB Polytechnic College,Guangzhou Guangdong 510501,China
关键词:
Ginzburg-Landau方程;  分裂法;  局部1维法;  高阶紧致格式.
Keywords:
Ginzburg-Landau equation;  splitting method;  local one-dimensional method;  high order compact scheme
分类号:
O 241.82
文献标志码:
A
摘要:
采用分裂技巧研究了2维的Ginzburg-Landau方程构造高效的数值格式.把2维Ginzburg-Landau方程变成线性和非线性问题以避免求解耦合的非线性方程组.为减少存储量和计算量,对线性问题进一步运用局部1维方法,把它分解为2个1维问题求解.所得到的数值格式具有高效、高精度等数值特征.最后,用数值算例模拟了2维Ginzburg-Landau方程所描述的物理现象,新方法具有较大的优越性.
Abstract:
The efficient numerical scheme for two-dimensional Ginzburg-Landau equation is studied by splitting method.The two-dimensional Ginzburg-Landau equation is altered into a linear problem and a nonlinear problem in order to avoid solving a coupled nonlinear algebraic system.In order to reduce storage and computation,the linear problem can be decomposed into two one dimensional problems by local one-dimensional method.The scheme has the numerical characteristics such as high efficiency,high accuracy.Finally,some numerical experiments are reported to simulate the physical phenomena described by two-dimensional Ginzburg-Landau equation,and the superiority of our scheme can be verified by the experiments.

参考文献/References:


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备注/Memo

备注/Memo:
收稿日期:2016-10-15基金项目:国家自然科学基金(11301234,11271171)和江西省自然科学基金(20142BCB23009,20161ACB20006)资助项目.通信作者:孔令华(1977-),男,江西石城人,教授,博士,主要从事偏微分方程数值解法的研究.E-mail:konglh@mail.ustc.edu.cn
更新日期/Last Update: 1900-01-01