Detail publikačního výsledku

Solving of Advection-diffusion Equation Using Method of Lines

DVOŘÁK, R.; ZBOŘIL, F.

Originální název

Solving of Advection-diffusion Equation Using Method of Lines

Anglický název

Solving of Advection-diffusion Equation Using Method of Lines

Druh

Stať ve sborníku mimo WoS a Scopus

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.

Anglický 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

Klíčová slova v angličtině

Advection-diffusion equation, method of lines, partial differential equation, numerical integration

Autoři

DVOŘÁK, R.; ZBOŘIL, F.

Rok RIV

2010

Vydáno

24.09.2008

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"
}