A two-parameter Tikhonov regularization for a fractional sideways problem with two interior temperature measurements

Dang Duc Trong, Dinh Nguyen Duy Hai, Nguyen Dang Minh and Nguyen Nhu Lan

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 229, issue C, 491-511

Abstract: This paper deals with a fractional sideways problem of determining the surface temperature of a heat body from two interior temperature measurements. Mathematically, it is formulated as a problem for the one-dimensional heat equation with Caputo fractional time derivative of order α∈(0,1], where the data are given at two interior points, namely x=x1 and x=x2, and the solution is determined for x∈(0,L),0Keywords: Fractional order equation; Ill-posed problem; Tikhonov regularization method; Optimal convergence estimates (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:229:y:2025:i:c:p:491-511

DOI: 10.1016/j.matcom.2024.10.013

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