Identification of the pollution source of a parabolic equation with the time-dependent heat conduction

DOI10.1186/1029-242X-2014-161zbMath1309.65109OpenAlexW2100479390WikidataQ59322279 ScholiaQ59322279MaRDI QIDQ2258693

Ta Hoang Thong, Nguyen Dang Minh, Nguyen Huy Tuan, Dang Duc Trong

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-161

zbMATH Keywords

inverse problemregularizationheat conductionparabolic equationerror estimatenumerical experimentill-posed problemquasi-boundary methodtruncation Fourier method

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

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