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

被引：4
|
作者：
Liu, Ji-Chuan [1 ]
Wei, Ting [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF ENGINEERING MATHEMATICS | 2011年 / 71卷 / 02期
关键词：
Finite difference; III-posed problem; Method of lines; Multilayer domain; Quasi-reversibility method; POTENTIAL CORROSION DAMAGE; CAUCHY DATA; LAPLACE EQUATION; IDENTIFICATION; APPROXIMATIONS;
D O I：
10.1007/s10665-010-9430-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
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：14
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