Determination of concentration source in a fractional derivative model of atmospheric pollution

J Kandilarov, L Vulkov - American Institute of Physics …, 2021 - ui.adsabs.harvard.edu
The model is a subdiffusion-type fractional degenerate parabolic equation. We consider two
inverse source problems with power vertical diffusion coefficients, including the well-known …

Numerical solution of direct and inverse problems for degenerate parabolic equations with concentrated sources

I Dimov, J Kandilarov, L Vulkov - AIP Conference Proceedings, 2018 - pubs.aip.org
First, we prove minimum principle to parabolic degenerate initial boundary value problems
in order to provide positivity of the continuous solutions. Then we construct a fitted finite …

Numerical reconstruction of concentration sources for a removal pollutant model

JD Kandilarov, LG Vulkov - AIP Conference Proceedings, 2023 - pubs.aip.org
A time-dependent removal model for air pollutants from an elevated source is considered. It
leads to solving numerically linear inverse problem for a space degenerate ultraparabolic …

Numerical identification of the time dependent vertical diffusion coefficient in a model of air pollution

IT Dimov, JD Kandilarov, LG Vulkov - … Meeting of the Bulgarian Section of …, 2021 - Springer
Consider the concentration convection-diffusion process of air-pollution with time-dependent
vertical diffusion coefficient modeled by a degenerate parabolic equation. We aim to identify …

A transformation method for numerical identification of the time-dependent diffusion coefficient in parabolic equations

J Kandilarov, L Vulkov - AIP Conference Proceedings, 2019 - pubs.aip.org
We propose a time-transformation method to solve the inverse problem of determining the
time-dependent diffusion coefficient in parabolic equations. On the first stage by a …