Determination of a time-dependent thermal diffusivity and free boundary in heat conduction

被引：12
作者：
Hussein, M. S. [1 ,2 ]
Lesnic, D. [1 ]
机构：
[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
[2] Univ Baghdad, Coll Sci, Dept Math, Baghdad, Iraq
来源：
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 2014年 / 53卷
关键词：
Thermal diffusivity; Free boundary; Inverse problem; Heat equation;
D O I：
10.1016/j.icheatmasstransfer.2014.02.027
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, we consider the inverse problem of simultaneous determination of time-dependent leading coefficient (thermal diffusivity) and free boundary in the one-dimensional time-dependent heat equation. The resulting inverse problem is recast as a nonlinear regularized least-squares problem. Stable and accurate numerical results are presented and discussed. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：154 / 163
页数：10
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