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Eurasian Journal of Mathematical and Computer Applications, 2019, Volume 7, Issue 4, Pages 66–85
DOI: https://doi.org/10.32523/2306-6172-2019-7-4-66-85 (Mi ejmca144) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Recovering the timewise reaction coefficient for a two-dimensional free boundary problem

M. J. Huntul

Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia
Full-text PDF (469 kB) Citations (4)
DOI: https://doi.org/10.32523/2306-6172-2019-7-4-66-85
Abstract: The reconstruction of the timewise reaction and free boundary coefficients in the heat equation from an additional Stefan-type and mass/energy measurements data is considered. This inverse formulation results in a local uniquely solvable problem. The two-dimensional inverse problem is discretized using an alternating direction explicit method. The resulting constrained regularized optimization problem is minimized iteratively by employing a MATLAB toolbox subroutine.
Keywords: Inverse coefficient identification problem, Free boundary, Two-dimensional parabolic equation, Tikhonov regularization, Nonlinear optimization.
Bibliographic databases:
Document Type: Article
MSC: 65M32, 80A22
Language: English
Citation: M. J. Huntul, “Recovering the timewise reaction coefficient for a two-dimensional free boundary problem”, Eurasian Journal of Mathematical and Computer Applications, 7:4 (2019), 66–85
Citation in format AMSBIB
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\by M. J. Huntul
\paper Recovering the timewise reaction coefficient for a two-dimensional free boundary problem
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 4
\pages 66--85
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85102466587}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Journal of Mathematical and Computer Applications
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