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 energ...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.展开更多
文摘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.
