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本文提出通过对具有移动边界分布参数系统中的移动边界的一步预报，自适应生成剖分阿格，然后通过系统的焓方程应用有限元方法求解，得到具有移动边界的分布参数系统的数值解．结果表明，这种方法较好地解决了用有限元方法求解该类系统的数值解时遇到的移动边界附近数值解精度与网格剖分过细所导致的计算量过大的矛盾．为具有移动边界的分布参数系统的建模和仿真提供了一种有效的数值计算方法，同时也为研究系统的控制、估计、辨识等问题的数值方法打下了基础．
In this paper, we propose a method to generate a distributed parameter system with moving boundary through the step-by-step prediction of the moving boundary in the system with moving boundary distribution, adaptively generate the split Arg, and then apply the finite element method through the system’s enthalpy equation. The results show that the proposed method solves the contradiction between numerical solution accuracy near the moving boundary and excessive computational load due to too fine meshing when the numerical solution of the system is solved by finite element method. It provides an effective numerical method for the modeling and simulation of distributed parameter systems with moving boundaries, and also lays the foundation for numerical methods to study the control, estimation and identification of the system.