%0 Journal Article
%T 2维Ginzburg-Landau方程的分裂LOD高阶紧致格式<br>The Splitting High-Order Compact Scheme for Two-Dimensional Ginzburg-Landau Equation
%A 匡立群
%A 孔令华
%A 王 兰
%A 郑小红
%J -
%D 2017
%X 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.<br>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
%K Ginzburg-Landau方程
%K 分裂法
%K 局部1维法
%K 高阶紧致格式.<br>Ginzburg-Landau方程 分裂法 局部1维法 高阶紧致格式.
%K Ginzburg-Landau方程 分裂法 局部1维法 高阶紧致格式.
%K Ginzburg-Landau方程 分裂法 局部1维法 高阶紧致格式.
%K Ginzburg-Landau方程 分裂法 局部1维法 高阶紧致格式.
%U http://lkxb.jxnu.edu.cn//oa/darticle.aspx?type=view&id=20170106