EFFICIENT NUMERICAL SCHEMES FOR TWO-DIMENSIONAL GINZBURG-LANDAU EQUATION IN SUPERCONDUCTIVITY

被引：5

作者：

Kong, Linghua ^{[1
]}

Kuang, Liqun ^{[1
]}

Wang, Tingchun ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 12期

关键词：

Two-dimensional Ginzburg-Landau equation; high-order compact schemes; computational efficiency; SPLITTING ITERATION METHODS; FINITE-ELEMENT METHODS; AX PLUS XB; PERIODIC-SOLUTIONS; POSITIVE-DEFINITE; GLOBAL EXISTENCE; MODEL; APPROXIMATION; DYNAMICS; BEHAVIOR;

D O I：

10.3934/dcdsb.2019141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to propose some high-order compact schemes for two-dimensional Ginzburg-Landau equation. The space is approximated by high-order compact methods to improve the computational efficiency. Based on Crank-Nicolson method in time, several temporal approximations are used starting from different viewpoints. The numerical characters of the new schemes, such as the existence and uniqueness, stability, convergence are investigated. Some numerical illustrations are reported to confirm the advantages of the new schemes by comparing with other existing works. In the numerical experiments, the role of some parameters in the model is considered and tested.

引用

页码：6325 / 6347

页数：23

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