On the basis of the method of single point subdomain precise integration, the multi-point subdomain precise integration scheme (forward for time;center for space) and leap-frog scheme was obtained from the heat conduction equation of parabolic type.

• 基于单点子域精细积分的思想,针对抛物线型热传导方程初边值问题,提出多点子域积分的概念,推出一种多点子域积分的FTCS(forwardfor time;center for space;时间方向用前向差分,空间方向用中心差分)格式和多点子域积分的蛙跳格式。