Hussein, MS and Lesnic, D (2014) Determination of a time-dependent thermal diffusivity and free boundary in heat conduction. International Communications in Heat and Mass Transfer, 53. 154 - 163. ISSN 0735-1933
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 Elsevier Ltd. Uploaded in accordance with the publisher's self-archiving policy. NOTICE: this is the author’s version of a work that was accepted for publication in International Communications in Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Communications in Heat and Mass Transfer, 53, (2014) DOI 10.1016/j.icheatmasstransfer.2014.02.027 |
Keywords: | Free boundary; Heat equation; Inverse problem; Thermal diffusivity |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Nov 2014 14:22 |
Last Modified: | 19 Jan 2018 10:21 |
Published Version: | http://dx.doi.org/10.1016/j.icheatmasstransfer.201... |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.icheatmasstransfer.2014.02.027 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:81062 |