Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10346148 | Computers & Mathematics with Applications | 2014 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi, Tzvetan Ostromsky,