Faculty of Information Technology, BUT

Publication Details

Solving of Advection-diffusion Equation Using Method of Lines

DVOŘÁK Radim and ZBOŘIL František V.. Solving of Advection-diffusion Equation Using Method of Lines. In: Proceedings 8th International Scientific Conference on Computers Science and Engineering. Košice: Faculty of Electrical Engineering and Informatics, University of Technology Košice, 2008, pp. 305-311. ISBN 978-80-8086-092-9.
Czech title
Řešení advekčně-difúzní rovnice pomocí metody přímky
Type
conference paper
Language
english
Authors
Dvořák Radim, Ing. (FIT BUT)
Zbořil František V., doc. Ing., CSc. (DITS FIT BUT)
Keywords
Advection-diffusion equation, method of lines, partial differential equation, numerical integration
Abstract
This paper describes numerical solving advection-diffusion equation (A-DE). The advection-diffusion equation belongs to the kind of parabolic partial differential equations. The problem of solving such types of equations in general is that there exist analytical solutions for its easy or simplified forms only, which are very limiting for practical usage. Therefore we have proposed and implemented system for solution of A-DE by method of lines using 4th order Runge-Kutta method to solve corresponding system of ordinary differential equations. Because of simplicity the stationary form of A-DEs was chosen. Obtained results are presented at the end of the paper.
Published
2008
Pages
305-311
Proceedings
Proceedings 8th International Scientific Conference on Computers Science and Engineering
Conference
International Scientific Conference on Computer Science and Engineering, CSE 2008, High Tatras - Stará Lesná, SK
ISBN
978-80-8086-092-9
Publisher
Faculty of Electrical Engineering and Informatics, University of Technology Košice
Place
Košice, SK
BibTeX
@INPROCEEDINGS{FITPUB8744,
   author = "Radim Dvo\v{r}\'{a}k and V. Franti\v{s}ek Zbo\v{r}il",
   title = "Solving of Advection-diffusion Equation Using Method of Lines",
   pages = "305--311",
   booktitle = "Proceedings 8th International Scientific Conference on Computers Science and Engineering",
   year = 2008,
   location = "Ko\v{s}ice, SK",
   publisher = "Faculty of Electrical Engineering and Informatics, University of Technology Ko\v{s}ice",
   ISBN = "978-80-8086-092-9",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/8744"
}
Back to top