Regularization of Nonhomogeneous Ill-Posed Parabolic Cauchy Problems via a Two-Parameter Method With Stability Estimates

Faiza Boulham and Nihed Teniou

Journal of Mathematics, 2026, vol. 2026, 1-22

Abstract: This study aims to propose a regularization method for an ill-posed Cauchy problem involving an unbounded linear operator in a Hilbert space, in order to obtain a stable approximate solution together with error estimates. The main idea of the method developed in this study is to simultaneously perturb both the right-hand side of the equation ft and the final data g. Finally, a numerical example demonstrates the effectiveness of the proposed method.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8721457

DOI: 10.1155/jom/8721457

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