摘要
We present a decoupled,linearly implicit numerical scheme with energy stability and mass conservation for solving the coupled Cahn-Hilliard system.The time-discretization is done by leap-frog method with the scalar auxiliary variable(SAV)approach.It only needs to solve three linear equations at each time step,where each unknown variable can be solved independently.It is shown that the semi-discrete scheme has second-order accuracy in the temporal direction.Such convergence results are proved by a rigorous analysis of the boundedness of the numerical solution and the error estimates at different time-level.Numerical examples are presented to further confirm the validity of the methods.
基金
supported by the National Natural Science Foundation of China(Grant Nos.12171442,12231003,12271215,12326378,11871248).
