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

conference paper

English

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

VALA, J.

6. 4. 2022

American Institute of Physics

Melville (USA)

978-0-7354-4182-8

ICNAAM 2020 Proceedings

1

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