随机阻尼波动方程及其有限差分模拟  

STOCHASTIC WAVE EQUATION WITH DAMPING AND ITS FINITE DIFFERENCE SIMULATION

作　　者：李秋赐 LI Qiu-ci(School of Mathematics and Statistics,Wuhan University,Wuhan 430072)

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2022年第3期259-266,共8页Journal of Mathematics

摘　　要：本文介绍了高斯时间白噪声驱动的随机阻尼波动方程,讨论并给出了该方程的弱解形式,并基于两种差分法对这样的解进行了数值模拟.In this paper,the stochastic wave equation driven by Gaussian time white noise is introduced,and the weak solution of the equation is discussed,and the numerical simulation of the solution is carried out based on two different methods.

关 键 词：随机波动方程 时空白噪声 差分模拟 

分 类 号：O211.63[理学—概率论与数理统计]