二维变系数抛物型方程的M-F格式

M-F Scheme to Solve Two-Dimensional Parabolic Equation with Changeable Coefficient

针对二维变系数抛物型方程,构造了M-F交替方向隐格式,分析其稳定性,并给出了截断误差阶估计.比较以往算法,M-F格式具有精度高,无条件稳定等优点..

In this paper,a Mitchell-Fairweather scheme is constructed for two-dimensional parabolic equation. The stability is analyzed and the truncation error estimates are given. Compared with traditional algorithms ,we illustrates that the M-F scheme has high accuracy and better stability.