热传导方程的一种高精度O(τ2+h4)阶差分格式

摘要

介绍了一种高精度的差分格式,其由向前差分格式和向后差分格式作加权平均得到,并给出了格式的截断误差,先验估计及数值例子.%A high accuracy scheme was introduced. The scheme was built by using the method of weighted average for the forward differencing scheme and the backward differencing scheme. Truncation error, a priori estimate and numerical experiments of the scheme were given.