Solving advection equations by applying the crank-nicolson scheme combined with the richardson extrapolation

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Advection equations appear often in large-scale mathematical models arising in many fields of science and engineering. The Crank-Nicolson scheme can successfully be used in the numerical treatment of such equations. The accuracy of the numerical solution can sometimes be increased substantially by applying the Richardson Extrapolation. Two theorems related to the accuracy of the calculations will be formulated and proved in this paper. The usefulness of the combination consisting of the Crank-Nicolson scheme and the Richardson Extrapolation will be illustrated by numerical examples. Copyright Zahari Zlatev et al.

Original languageEnglish
Article number520840
JournalInternational Journal of Differential Equations
Volume2011
DOIs
Publication statusPublished - 2011

Fingerprint

Crank-Nicolson Scheme
Advection Equation
Richardson Extrapolation
Advection
Extrapolation
Numerical Solution
Mathematical Model
Mathematical models
Engineering
Numerical Examples
Theorem

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Solving advection equations by applying the crank-nicolson scheme combined with the richardson extrapolation. / Zlatev, Zahari; Dimov, Ivan; Faragó, I.; Georgiev, Krassimir; Havasi, Agnes; Ostromsky, Tzvetan.

In: International Journal of Differential Equations, Vol. 2011, 520840, 2011.

Research output: Contribution to journalArticle

Zlatev, Zahari ; Dimov, Ivan ; Faragó, I. ; Georgiev, Krassimir ; Havasi, Agnes ; Ostromsky, Tzvetan. / Solving advection equations by applying the crank-nicolson scheme combined with the richardson extrapolation. In: International Journal of Differential Equations. 2011 ; Vol. 2011.
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