Numerical Simulation of Stochastic Ginzburg-Landau Equation

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (6): 919-926.

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Numerical Simulation of Stochastic Ginzburg-Landau Equation

WANG Tingchun^1,2, GUO Boling²

1. College of Math & Physics, Nanjing University of Information Science & Technology, Nanjing 210044, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2009-09-11 Revised:2010-04-08 Online:2010-11-25 Published:2010-11-25
Supported by:
Supported by China Postdoctoral Science Foundation (Grant No.20100470254)

Abstract

Abstract: Stochastic Ginzburg-Landau equation is numerically studied.A nonlinear difference scheme and a linearized scheme which avoid iteration in implementation are constructed.Numerical solutions of both deterministic equation and stochastic equation show accuracy and efficiency of the difference schemes.Numerical experiments with different noise amplitudes are presented and different types of behaviors are described.

Key words: stochastic Ginzburg-Landau equation, finite difference method, white noise

CLC Number:

O241.83

WANG Tingchun, GUO Boling. Numerical Simulation of Stochastic Ginzburg-Landau Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(6): 919-926.

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Numerical Simulation of Stochastic Ginzburg-Landau Equation

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