A Parallel Difference Method for Allen-Cahn Equation
In this paper,the alternant-segmented Crank-Nicolson(ASC-N)scheme of Allen-Cahn equations with Newman boundary conditions was given.The ASC-N parallel difference scheme was constructed by combining the classic Crank-Nicolson scheme and four different Saul'yev asymmetric schemes.The uniqueness of the ASC-N scheme was analyzed theoretically,and the discrete maximum principle of the numerical algorithm was discussed.Theoretical analysis and numerical results showed that the parallel ASC-N scheme could greatly save calculation time and efficiently solve Allen-Cahn equation compared with the classical Crank-Nicolson scheme when the grid density was high.
Allen-Cahn equationASC-N schemediscrete maximum principleparallel difference scheme
万方数据
维普
