A Tikhonov-type method for inverse source problems for time-space fractional parabolic equations

Nguyen Van Duc and Thi-Phong Nguyen

Applied Mathematics and Computation, 2025, vol. 507, issue C

Abstract: This paper investigates a Tikhonov-type approach for addressing inverse source problems related to time-space fractional parabolic equations. The method ensures a Hölder-type error estimate for the regularized solution at an optimal order, enabling a fixed parameter choice rule that does not depend on the data. Efficient numerical algorithms are devised for practical implementation, accompanied by numerical examples.

Keywords: Inverse source problem; Fractional derivative; Time-space fractional parabolic equation; Tikhonov regularization; Conjugate gradient; Singular value decomposition (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325002930

DOI: 10.1016/j.amc.2025.129567

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