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Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation
Joint Authors
Dimov, Ivan
Havasi, Ágnes
Faragó, István
Zlatev, Zahari
Ostromsky, Tzvetan
Georgiev, Krassimir
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-20
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zlatev, Zahari& Dimov, Ivan& Faragó, István& Georgiev, Krassimir& Havasi, Ágnes& Ostromsky, Tzvetan. 2011. Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-478294
Modern Language Association (MLA)
Zlatev, Zahari…[et al.]. Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation. International Journal of Differential Equations No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-478294
American Medical Association (AMA)
Zlatev, Zahari& Dimov, Ivan& Faragó, István& Georgiev, Krassimir& Havasi, Ágnes& Ostromsky, Tzvetan. Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-478294
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478294