On direct and inverse diffusion problems useful in computational disease spread modelling

On direct and inverse diffusion problems useful in computational disease spread modelling

Paper in proceedings (conference paper)

Diffusion equations in multicomponent environments, as parabolic evolutionary systems, have many physical and engineering applications; another their application was accentuated in 2020 due to the Covid19 infection. This short paper demonstrates the possibility of numerical analysis of direct and inverse problems of this type using some algorithms from computational heat, mass, etc. transfer, with special nonlinear terms originated in mathematical biology. One simple example sketches the benefits and hazards of such prediction for the MATLAB-based analysis of readily available Covid19 spread data from the Czech Republic.

Diffusion equations in multicomponent environments, as parabolic evolutionary systems, have many physical and engineering applications; another their application was accentuated in 2020 due to the Covid19 infection. This short paper demonstrates the possibility of numerical analysis of direct and inverse problems of this type using some algorithms from computational heat, mass, etc. transfer, with special nonlinear terms originated in mathematical biology. One simple example sketches the benefits and hazards of such prediction for the MATLAB-based analysis of readily available Covid19 spread data from the Czech Republic.

nonlinear diffusion; inverse problems

nonlinear diffusion; inverse problems

VALA, J.

2023

06.04.2022

American Institute of Physics

Melville (USA)

978-0-7354-4182-8

ICNAAM 2020 Proceedings

0094-243X

AIP conference proceedings

2425

1

United States of America

270007-1

270007-4

4

https://aip.scitation.org/doi/abs/10.1063/5.0082138