Some Unexplored Topics in The Reconstruction of Scalar Parameters of Subdiffusion
Analysis of PDEs
2026-03-30 v1 Numerical Analysis
Numerical Analysis
Abstract
In the paper, we discuss the reconstruction of scalar parameters in a linear diffusion equation with fractional in time differential operators and with additional nonlocal (convolution) terms, which incorporate memory effects in models. Although, under suitable assumptions on the data, inverse problems associated with recovery of these parameters are nowadays well understood, several important questions related with numerical reconstructions of these parameters via a nonlocal observation in a small time interval have not yet been analyzed. This paper aims to provide some answers.
Keywords
Cite
@article{arxiv.2603.25888,
title = {Some Unexplored Topics in The Reconstruction of Scalar Parameters of Subdiffusion},
author = {Sergii V. Siryk and Lidiia Tereshchenko and Nataliya Vasylyeva},
journal= {arXiv preprint arXiv:2603.25888},
year = {2026}
}