一类热传导逆时问题的数值解法

A numerical method for solving a backward heat conduction

考虑了确定初始时刻温度颁的一类热传导方程递时反问题.运用拟逆法思想对一类热传导逆时问题进行了分析,最后给出方程的差分格式,通过传播因子法证明了差分格式的稳定性,并通过数值算例验证算法的有效性.

We consider teh prollem of a backward heat conduction to determine the moment of the initial temperature distribution, by the idea of quasi-reversibility. Finally we give a difference scheme of the equation and prove the stability of the difference scheme by the Lax-Richtmyer method. Numerical result shows that our algorithm is effective.