A quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem

Yan Wang and Zhi Qian

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 212, issue C, 423-440

Abstract: In this paper, we consider a two-dimensional time-fractional inverse heat conduction problem, which is severely ill-posed. A quasi-reversibility method is proposed to solve this problem with disturbed boundary value. We give the selection of regularization parameters of quasi-reversibility method both under a priori and a posteriori rules, and give the proof of error estimates between the exact solution and its regularization approximation. Further more, numerical results are included to verify the effectiveness of the proposed method.

Keywords: Time-fractional inverse heat conduction problem; Regularization; Quasi-reversibility method; A posteriori error estimate (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:212:y:2023:i:c:p:423-440

DOI: 10.1016/j.matcom.2023.05.012

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