提出了求解两同心球所介区域上Fisher 型方程的时间方向二阶精度的混合Legendre-球面调和拟谱格式. 该格式在半径方向选择Gauss 型的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, 该算法具有较好的稳定性和较高精度.
The paper proposes a second mixed Legendre-spherical harmonic pseudospectral scheme for the Fisher equation in a domain between two concentric balls. Legendre interpolation is used in the radial direction, and spherical harmonic interpolation in other directions. The second order central difference quotient is used for time derivatives. Numerical results show high accuracy of the proposed algorithm.
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