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This is a Quantitative Study study.

September 30, 2025Open Access

Numerical Identification of a Time-Dependent Coefficient in a Time-Fractional Diffusion Equation with Integral Constraints

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Numerical analysis identifies a time-dependent coefficient in the time-fractional diffusion equation, suggesting stable solutions.

The proposed numeric method identifies a time-dependent coefficient accurately and robustly under noisy conditions.
An a priori estimate establishes the uniqueness and stability of the solution, ensuring reliable outcomes.
A fully implicit finite-difference scheme is developed for this method, showing strong stability and convergence.
Numerical experiments validate the effectiveness of the algorithm using an integral formulation to solve the inverse problem.

Arshyn Altybay (2025) studied this question.

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