空间分数阶Ginzburg-Landau方程的一种块分裂迭代法  

A Block-Splitting Iterative Method for Spatial Fractional Ginzburg-Landau Equations

作　　者：宋岩 凌永辉 SONG Yan;LING Yonghui(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《广西民族大学学报（自然科学版）》2022年第4期82-86,共5页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：福建省自然科学基金项目(2016J05015)。

摘　　要：对空间分数阶Ginzburg-Landau方程离散产生的复线性方程组提出了一种有效的块分裂迭代法。该方法在求解线性方程组时避免了求系数矩阵的逆,大大减少了计算量和存储空间。此外,从理论上证明了该方法的收敛性。数值结果表明,块分裂迭代法与其他方法相比更优。An effective block-splitting iterative method is proposed for the complex linear equations discretization of spatial fractional Ginzburg-Landau equations.The proposed method avoids the inverse of coefficient matrix when solving linear equations,which can greatly reduce computation load and storage space.In addition,the convergence of the method is proved theoretically.Numerical results show that the block-splitting iterative method is better than other methods.

关 键 词：分数阶Ginzburg-Landau方程 TOEPLITZ矩阵 块分裂迭代法 收敛性 

分 类 号：O241.7[理学—计算数学]