高维卡-海勒方程的显式谱方法  

Explicit Spectral Method for Cahn-Hilliard Equation with High Dimensional

作　　者：徐前进[1] 刘辉 

机构地区：[1]河南交通职业技术学院人文社科系,郑州450005 [2]河南省民政学校基础教学部,郑州450008

出　　处：《科学技术与工程》2008年第4期999-1001,1004,共4页Science Technology and Engineering

摘　　要：考察一类高维非线性Cahn-Hilliard方程的谱的方法,构造了一类有条件稳定的半离散和全离散格式,采用非线性函数的有界延拓及Sobolev不等式,证明了格式的收敛性与稳定性。this essay constructs a kind of conditionally stable semi-discrete and full-discrete scheme by wing a chart of a multidimensional nonlinear Cahn-Hilliard equation and proves convergence and stability revie- of the scheme using the bounded continuation of nonlinear function and Sobolev inequality.

关 键 词：CAHN-HILLIARD方程 半离散Fourier谱方法 全离散Fourier谱方法 

分 类 号：O177.7[理学—数学]