Publication Details
Solving of Advection-diffusion Equation Using Method of Lines
Zbořil František V., doc. Ing., CSc. (DITS FIT BUT)
Advection-diffusion equation, method of lines, partial differential equation, numerical integration
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.
@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"
}