Conference paper

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.
Publication language:english
Original title:Solving of Advection-diffusion Equation Using Method of Lines
Title (cs):Řešení advekčně-difúzní rovnice pomocí metody přímky
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
Place:Košice, SK
Year:2008
ISBN:978-80-8086-092-9
Publisher:Faculty of Electrical Engineering and Informatics, University of Technology Košice
Keywords
Advection-diffusion equation, method of lines, partial differential equation, numerical integration
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   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 = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso-8859-2?id=8744}
}

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