一类热传导方程移动边界问题的数值求解

Numerical method of moving boundary problem for a class of heat conduction equation

给出了数值求解具有多层区域热方程移动边界问题的算法,算法是基于有限差分格式的,给出处理界面条件和曲边的方法,分析并且给出了最佳的处理方案;最后用数值例子说明我们的方法具有较高的精度.

We use the finite difference method to solve the heat conduction equation with muhilayer domain, give methods to deal with the interface condition and moving boundary and obtain its best method. Finally, the numerical results show that our proposed method works effectively.