Publication detail

Solving of Advection-diffusion Equation Using Method of Lines

DVOŘÁK, R. ZBOŘIL, F.

Original Title

Solving of Advection-diffusion Equation Using Method of Lines

English Title

Solving of Advection-diffusion Equation Using Method of Lines

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

RIV year

2008

Released

24.09.2008

Publisher

Faculty of Electrical Engineering and Informatics, University of Technology Košice

Location

Košice

ISBN

978-80-8086-092-9

Book

Proceedings 8th International Scientific Conference on Computers Science and Engineering

Edition

NEUVEDEN

Edition number

NEUVEDEN

Pages from

305

Pages to

311

Pages count

7

Documents

BibTex


@inproceedings{BUT32072,
  author="Radim {Dvořák} and František {Zbořil}",
  title="Solving of Advection-diffusion Equation Using Method of Lines",
  annote="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.",
  address="Faculty of Electrical Engineering and Informatics, University of Technology Košice",
  booktitle="Proceedings 8th International Scientific Conference on Computers Science and Engineering",
  chapter="32072",
  edition="NEUVEDEN",
  howpublished="print",
  institution="Faculty of Electrical Engineering and Informatics, University of Technology Košice",
  year="2008",
  month="september",
  pages="305--311",
  publisher="Faculty of Electrical Engineering and Informatics, University of Technology Košice",
  type="conference paper"
}