计算物理
計算物理
계산물리
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2010年
6期
919-926
,共8页
随机Ginzburg-Landau方程%有限差分法%白噪声
隨機Ginzburg-Landau方程%有限差分法%白譟聲
수궤Ginzburg-Landau방정%유한차분법%백조성
stochastic Ginzburg-Landau equation%finite difference method%white noise
对随机Ginzburg-Landau方程进行数值研究,构造一个非线性差分格式和一个线性化差分格式.通过对确定性和随机Ginzburg-Landau方程的计算,表明所构造的格式具有较高的精度和较快的计算效率.对随机Ginzburg-Landau方程就噪声振幅的不同取值进行了数值模拟,并对由此引发的各种行为进行了描述.
對隨機Ginzburg-Landau方程進行數值研究,構造一箇非線性差分格式和一箇線性化差分格式.通過對確定性和隨機Ginzburg-Landau方程的計算,錶明所構造的格式具有較高的精度和較快的計算效率.對隨機Ginzburg-Landau方程就譟聲振幅的不同取值進行瞭數值模擬,併對由此引髮的各種行為進行瞭描述.
대수궤Ginzburg-Landau방정진행수치연구,구조일개비선성차분격식화일개선성화차분격식.통과대학정성화수궤Ginzburg-Landau방정적계산,표명소구조적격식구유교고적정도화교쾌적계산효솔.대수궤Ginzburg-Landau방정취조성진폭적불동취치진행료수치모의,병대유차인발적각충행위진행료묘술.
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.
