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

Type

article in a collection out of WoS and Scopus

Language

English

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.

Keywords

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

Authors

DVOŘÁK, R.; ZBOŘIL, F.

RIV year

2008

Released

24. 9. 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

Pages from

305

Pages to

311

Pages count

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"
}