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.

引用

页码：157 / 170

页数：14

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