Detail publikace

Solving of Advection-diffusion Equation Using Method of Lines

Originální název

Solving of Advection-diffusion Equation Using Method of Lines

Anglický název

Solving of Advection-diffusion Equation Using Method of Lines

Jazyk

en

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.

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"
}