Publication detail

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

VALA, J.

Original Title

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

English Title

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

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

nonlinear diffusion; inverse problems

Released

31.12.2021

Publisher

American Institute of Physics

Location

Melville (USA)

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

7777

Number

1

State

US

Pages from

7777-1

Pages to

7777-4

Pages count

4

Documents

BibTex


@inproceedings{BUT167925,
  author="Jiří {Vala}",
  title="On direct and inverse diffusion problems  useful in computational disease spread modelling",
  annote="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.",
  address="American Institute of Physics",
  booktitle="ICNAAM 2020 Proceedings",
  chapter="167925",
  howpublished="online",
  institution="American Institute of Physics",
  number="1",
  year="2021",
  month="december",
  pages="7777-1--7777-4",
  publisher="American Institute of Physics",
  type="conference paper"
}