A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen--Cahn Equation with a General Mobility
A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen--Cahn Equation with a General Mobility
In this paper, a linear second order numerical scheme is developed and investigated for the Allen-Cahn equation with a general positive mobility.In particular, our fully discrete scheme is mainly constructed based on the Crank-Nicolson formula for temporal discretization and the central finite difference method for spatial approximation, and two extra …