摘要
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.
In this paper, a Legendre spectral method for numerically solving Cahn-Hilliard equations with Neumann boundary conditions is developed. We establish their semi-discrete and fully discrete schemes that inherit the energy dissipation property and mass conservation property from the associated continuous problem, we prove the existence and uniqueness of the numerical solution and derive the optimal error bounds, we perform some numerical experiments which confirm our results.
出处
《计算数学》
CSCD
北大核心
2003年第2期157-170,共14页
Mathematica Numerica Sinica
基金
国家自然科学基金(批准号:10001029)
浙江省自然科学基金资助项目.
