Application of Richardson extrapolation for multi-dimensional advection equations

Zahari Zlatev, Ivan Dimov, I. Faragó, Krassimir Georgiev, Ágnes Havasi, Tzvetan Ostromsky

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A Crank-Nicolson type scheme, which is of order two with respect to all independent variables, is used in the numerical solution of multi-dimensional advection equations. Normally, the order of accuracy of any numerical scheme can be increased by one when the well-known Richardson Extrapolation is used. It is proved that in this particular case the order of accuracy of the combined numerical method, the method consisting of the Crank-Nicolson scheme and the Richardson Extrapolation, is not three but four.

Original languageEnglish
Pages (from-to)2279-2293
Number of pages15
JournalComputers and Mathematics with Applications
Volume67
Issue number12
DOIs
Publication statusPublished - 2014

Fingerprint

Advection Equation
Richardson Extrapolation
Advection
Extrapolation
Crank-Nicolson Scheme
Crank-Nicolson
Numerical methods
Combined Method
Numerical Scheme
Numerical Methods
Numerical Solution

Keywords

  • Crank-Nicolson numerical scheme
  • Multi-dimensional advection
  • Order of accuracy
  • Richardson extrapolation

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Modelling and Simulation
  • Computational Mathematics

Cite this

Application of Richardson extrapolation for multi-dimensional advection equations. / Zlatev, Zahari; Dimov, Ivan; Faragó, I.; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan.

In: Computers and Mathematics with Applications, Vol. 67, No. 12, 2014, p. 2279-2293.

Research output: Contribution to journalArticle

Zlatev, Zahari ; Dimov, Ivan ; Faragó, I. ; Georgiev, Krassimir ; Havasi, Ágnes ; Ostromsky, Tzvetan. / Application of Richardson extrapolation for multi-dimensional advection equations. In: Computers and Mathematics with Applications. 2014 ; Vol. 67, No. 12. pp. 2279-2293.
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