The Levenberg-Marquardt regularization for the backward heat equation with fractional derivative

DOI10.1553/ETNA_VOL57S67OpenAlexW4285131041MaRDI QIDQ2153959

Pornsarp Pornsawad, Wannapa Panitsupakamon, Christine Böckmann

Publication date: 13 July 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol57/abstract.php?vol=57&pages=67-79

zbMATH Keywords

ill-posed problemsLevenberg-Marquardt methodbackward heat problemoptimal ordertime-fractional derivativea posteriori stopping rule

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical methods for ill-posed problems for integral equations (65R30) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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