Conference paperDVOŘÁK Radim and ZBOŘIL František V.. Solving of Advectiondiffusion 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. 305311. ISBN 9788080860929.  Publication language:  english 

Original title:  Solving of Advectiondiffusion Equation Using Method of Lines 

Title (cs):  Řešení advekčnědifúzní rovnice pomocí metody přímky 

Pages:  305311 

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:  9788080860929 

Publisher:  Faculty of Electrical Engineering and Informatics, University of Technology Košice 

Keywords 

Advectiondiffusion equation, method of lines, partial differential equation, numerical integration

Annotation 

This paper describes numerical solving advectiondiffusion equation (ADE). The advectiondiffusion 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 ADE by method of lines using 4th order RungeKutta method to solve corresponding system of ordinary differential equations. Because of simplicity the stationary form of ADEs 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 Advectiondiffusion Equation Using Method of
Lines},
pages = {305311},
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 = {9788080860929},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso88592?id=8744}
} 
