Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation

Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, à gnes Havasi and Tzvetan Ostromsky

International Journal of Differential Equations, 2011, vol. 2011, 1-16

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.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJDE/2011/520840.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJDE/2011/520840.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:520840

DOI: 10.1155/2011/520840

Access Statistics for this article

More articles in International Journal of Differential Equations from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().