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

共 50 条

[31] Determination of a Time-Dependent Coefficient in a Wave Equation with Unusual Boundary Condition
Tekin, Ibrahim
FILOMAT, 2019, 33 (09) : 2653 - 2665
[32] Identifying a time-dependent heat source with nonlocal boundary and overdetermination conditions by the variational iteration method
Zhou, Guanglu
Wu, Boying
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (07) : 1545 - 1552
[33] Determination of the time-dependent perfusion coefficient in the bio-heat equation
Lesnic, D.
Ivanchov, M.
APPLIED MATHEMATICS LETTERS, 2015, 39 : 96 - 100
[34] Inverse Problem of Finding Time-Dependent Functions in the Minor Coefficient of a Parabolic Equation in the Domain with Free Boundary
Snitko H.A.
Journal of Mathematical Sciences, 2014, 203 (1) : 40 - 54
[35] An inverse time-dependent source problem for the heat equation
Hazanee, A.
Ismailov, M. I.
Lesnic, D.
Kerimov, N. B.
APPLIED NUMERICAL MATHEMATICS, 2013, 69 : 13 - 33
[36] Thermal diffusivity estimation using numerical inverse solution for 1D heat conduction
Ukrainczyk, Neven
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (25-26) : 5675 - 5681
[37] STABILITY OF THE DETERMINATION OF A TIME-DEPENDENT COEFFICIENT IN PARABOLIC EQUATIONS
Choulli, Mourad
Kian, Yavar
MATHEMATICAL CONTROL AND RELATED FIELDS, 2013, 3 (02) : 143 - 160
[38] TIME-DEPENDENT SINGULARITIES IN THE HEAT EQUATION
Takahashi, Jin
Yanagida, Eiji
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (03) : 969 - 979
[39] The method of fundamental solutions for a time-dependent two-dimensional Cauchy heat conduction problem
Reeve, Thomas
Johansson, B. Tomas
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (03) : 569 - 578
[40] Determining the thermal diffusivity of sediments using the fractional nonlocal heat conduction equation
Shabanova, M. R.
Meilanov, R. P.
Meilanov, R. R.
Akhmedov, E. N.
IZVESTIYA-PHYSICS OF THE SOLID EARTH, 2015, 51 (01) : 80 - 86

← 1 2 3 4 5 →