摘要
提出了求解两同心球所介区域上Allen-Cahn型方程的时间方向二阶精度的混合Chebyshev-Legendre-球面调和拟谱格式,即在半径方向选择混合Chebyshev-Legendre插值逼近,球面方向选择球面调和插值逼近,而时间方向的导数采用二阶中心差商离散.数值结果显示该算法具有很高精度.
The paper proposes a second mixed Chebyshev-Legendre-spherical har- monic pseudospectral scheme for the Allen-Cahn equation in a domain between two concentric balls, by using the mixed Chebyshev-Legendre interpolation in the radial direction and the spherical harmonic interpolation in the other directions, and the second order central difference quotient for the time derivative. Numerical results show the high accuracy of the suggested algorithm.
出处
《应用数学与计算数学学报》
2017年第4期454-461,共8页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11372170
11176015)
上海市重点学科建设资助项目(J50101)
