Numerical identification of a time-dependent coefficient in a time-fractional diffusion equation with integral constraints
Altybay A.
January 2026Birkhauser
Zeitschrift fur Angewandte Mathematik und Physik
2026#77Issue 1
In this paper, we numerically address the inverse problem of identifying a time-dependent coefficient in the time-fractional diffusion equation. An a priori estimate is established to ensure uniqueness and stability of the solution. A fully implicit finite-difference scheme is proposed and rigorously analysed for stability and convergence. An efficient algorithm based on an integral formulation is implemented and verified through numerical experiments, demonstrating accuracy and robustness under noisy data.
Caputo fractional derivative , Fractional diffusion equation , Integral overdetermination condition , Inverse problem , Numerical analysis
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Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, Ghent, 9000, Belgium
Institute of Mathematics and Mathematical Modeling
Department of Mathematics: Analysis
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