计算数学
計算數學
계산수학
MATHEMATICA NUMERICA SINICA
2003年
2期
157-170
,共14页
Cahn-Hilliard方程%Legendre谱方法
Cahn-Hilliard方程%Legendre譜方法
Cahn-Hilliard방정%Legendre보방법
Cahn-Hilliard Equation%Legendre spectral method
In this paper, a Legendre spectral method for numerically solving Cahn-Hilliardequations with Neumann boundary conditions is developed. We establish theirsemi-discrete and fully discrete schemes that inherit the energy dissipation propertyand mass conservation property from the associated continuous problem. we provethe existence and uniqueness of the numerical solution and derive the optimal errorbounds. we perform some numerical experiments which confirm our results.
