Article ID Journal Published Year Pages File Type
10346148 Computers & Mathematics with Applications 2014 15 Pages PDF
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)
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