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DVOŘÁK, R. ZBOŘIL, F.
Originální název
Solving of Advection-diffusion Equation Using Method of Lines
Typ
článek ve sborníku mimo WoS a Scopus
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Advection-diffusion equation, method of lines, partial differential equation, numerical integration
Autoři
DVOŘÁK, R.; ZBOŘIL, F.
Rok RIV
2008
Vydáno
24. 9. 2008
Nakladatel
Faculty of Electrical Engineering and Informatics, University of Technology Košice
Místo
Košice
ISBN
978-80-8086-092-9
Kniha
Proceedings 8th International Scientific Conference on Computers Science and Engineering
Strany od
305
Strany do
311
Strany počet
7
BibTex
@inproceedings{BUT32072, author="Radim {Dvořák} and František {Zbořil}", title="Solving of Advection-diffusion Equation Using Method of Lines", booktitle="Proceedings 8th International Scientific Conference on Computers Science and Engineering", year="2008", pages="305--311", publisher="Faculty of Electrical Engineering and Informatics, University of Technology Košice", address="Košice", isbn="978-80-8086-092-9" }