一类抛物问题的有限元高精度单步格式

The high accuracy single-step scheme of finite element to a class of parabolic question

首先给出了形如 ( 1)的抛物问题的半离散有限元所满足的常微分方程组 ,然后在时间变量上剖分后得到了这类抛物问题的空间和时间变量都有 4阶精度的有限元高精度单步格式 。

This paper first provides the ordinary differential equations of semi-dispense finite element on the parabolic question of form(1),after dissecting on the time variable the paper obtains the high accuracy single-step scheme of finite element to the class of parabolic question having fourth order accuracy with respect to both time and space variable and gives the provation.