解抛物型方程的两个高精度差分格式

Two High Accuracy Difference Scheme for Solving Parabolic

本文给出解抛物型方程的两个高精度差分格式，其中一个是绝对稳定的三层五点隐格式，另一个是三层六点显格式，稳定性条件是．两格式的截断误差均为Ｏ（△ｔ￣２＋△ｘ￣４）．

In this paper,two high accuracy difference scheme for solving parabolic is proposed。One is implicit difference scheme,it is unconditionally stable.Another is explicit difference scheme,it′sstable condition is:r≤1/2.Both of the truncation error are: differencing