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.
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.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2017年第1期35-38,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(11301234
11271171)
江西省自然科学基金(20142BCB23009
20161ACB20006)资助项目
