A finite-difference solution of the Ginzburg-Landau equation

被引：2

作者：

Willers, J ^{[1
]}

Twizell, EH ^{[1
]}

机构：

[1] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 12期

关键词：

complex; Ginzburg-Landau equation; linearized finite-difference method; consistency; stability;

D O I：

10.1080/1023619031000146896

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two finite-difference methods, which differ only in the way that they approximate the derivative boundary conditions, are developed for solving a particular form of the complex Ginzburg-Landau equation of superconductivity. The non-linear term in this equation is linearized in a way familiar to readers of Professor Mickens' work, and the numerical solution is obtained at each time step by solving a linear algebraic system. Consistency and stability are discussed and some numerical results are reported.

引用

页码：1059 / 1068

页数：10

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