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

页码：154 / 163

页数：10

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