解三维抛物型方程的高精度显式格式

High Accuracy Explicit Difference Schemes for Solving Three-Dimensional Equation of the Parabola

提出解三维抛物型方程的两层以及三层的高精度显式差分格式．它们的局部截断误差都是Ｏ（△ｔ２），而稳定性条件分别为ｒ＝１／６和ｒ＜１／６．

For solving three-dimensional parabolic equation, the author proposes high accuracy explicit difference schemes of two and three strata. Of which the local truncation errors are all O((△t)2),while the stability condition is r=1/6 and r<1/6 respectively.