Hussein, MS and Lesnic, D (2016) Simultaneous determination of time-dependent coefficients and heat source. International Journal for Computational Methods in Engineering Science and Mechanics, 17 (5-6). pp. 401-411. ISSN 1550-2287
Abstract
This article presents a numerical solution to the inverse problems of simultaneous determination of the time-dependent coefficients and the source term in the parabolic heat equation subject to overspecified conditions of integral type. The ill-posed problems are numerically discretized using the finite-difference method. The resulting system of nonlinear equations is solved numerically using the MATLAB toolbox routine lsqnonlin applied to minimizing the nonlinear Tikhonov regularization functional subject to simple physical bounds on the variables. Numerical examples are presented to illustrate the accuracy and stability of the solution.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2016, Taylor & Francis Group, LLC. This is an Accepted Manuscript of an article published by Taylor & Francis in the International Journal for Computational Methods in Engineering Science and Mechanics on 14th October 2016, available online: https://doi.org/10.1080/15502287.2016.1231241 |
Keywords: | Coefficient identification; Finite-difference method; Heat equation; Inverse problem; Nonlinear minimization; Tikhonov regularization |
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: | 07 Sep 2016 10:53 |
Last Modified: | 17 Oct 2017 22:08 |
Published Version: | https://doi.org/10.1080/15502287.2016.1231241 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/15502287.2016.1231241 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:104369 |