中文摘要：

近年来，随机偏微分方程（SPDE）发展成为国内外一个活跃的研究领域，它大量出现于物理、力学、金融、生物等相关领域，使得该领域的研究具有较强的应用背景：如非线性波动方程在随机介质中的传播问题，风险资产，股票等的价格波动规律对应的随机偏微分方程．

英文摘要：

Stochastic Cahn-Hilliard equation is an equation of the field theory for solving the Non-equilibrium dynamics problem in a weak state and is a case of nonlinear Langevin equation. In this paper, using the ackward difference method （BDM）, a numerical solution of the stochastic C-H equation is proposed and using the Ito formula, probability and the martingale theory, the convergence of the numerical process is proved in the meaning of mean square