Homotopy Perturbation Method for Solving the Two-Phase Inverse Stefan Problem

被引：45
|
作者：
Slota, Damian [1 ]
机构：
[1] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland
来源：
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2011年 / 59卷 / 10期
关键词：
HEAT-TRANSFER EQUATIONS; VARIATIONAL ITERATION; NUMERICAL-SIMULATION; DIFFUSION EQUATION; MASS-TRANSFER; PHASE-CHANGE; FLUID; CHANNEL; WAVE;
D O I：
10.1080/10407782.2011.572763
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this article, the possibility of the application of the homotopy perturbation method for solving the two-phase inverse Stefan problem is presented. This problem consists in the calculation of temperature distribution in the domain, as well as in the reconstruction of the functions describing the temperature and the heat flux on the boundary when the position of the moving interface is known. The validity of the approach is verified by comparing the results obtained with the exact solution.
引用
收藏
页码：755 / 768
页数：14
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