The method of lines to reconstruct a moving boundary for a one-dimensional heat equation in a multilayer domain

被引：0
作者：
Ji-Chuan Liu
Ting Wei
机构：
[1] Lanzhou University,School of Mathematics and Statistics
来源：
Journal of Engineering Mathematics | 2011年 / 71卷
关键词：
Finite difference; Ill-posed problem; Method of lines; Multilayer domain; Quasi-reversibility method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The method of lines is used to determine a moving boundary from Cauchy data in a one-dimensional heat-conduction problem in a multilayer domain. This problem is ill-posed and thus a quasi-reversibility method is applied to give a stable numerical solution. Numerical experiments for several examples show that the proposed method is feasible and stable.
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页码：157 / 170
页数：13
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