21 citations · 25 across the 8 of their papers we have counts for
4 papers · 1 filter
A backward problem for the time-fractional pseudo-parabolic equation with a variable coefficient
Arshyn Altybay
This work addresses an inverse reconstruction task for a time-fractional pseudo-parabolic model with a temporally varying coefficient. By imposing Dirichlet boundary conditions, we…
Numerical Approaches for Identifying the Time-Dependent Potential Coefficient in the Diffusion Equation
Arshyn Altybay, Michael Ruzhansky
We address the inverse problem of identifying a time-dependent potential coefficient in a one-dimensional diffusion equation subject to Dirichlet boundary conditions and a nonlocal…
Numerical identification of the time-dependent coefficient in the heat equation with fractional Laplacian
Arshyn Altybay, Gulzat Nalzhupbayeva
We consider the inverse problem of identifying a time-dependent source coefficient in a one-dimensional heat equation governed by the spectral Dirichlet fractional Laplacian from a…
Numerical Identification of a Time-Dependent Coefficient in a Time-Fractional Diffusion Equation with Integral Constraints
Arshyn Altybay
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…