2011 | OriginalPaper | Chapter
Richardson Extrapolated Numerical Methods for Treatment of One-Dimensional Advection Equations
Authors : Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi, Tzvetan Ostromsky
Published in: Numerical Methods and Applications
Publisher: Springer Berlin Heidelberg
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Advection equations are an essential part of many mathematical models arising in different fields of science and engineering. It is important to treat such equations with efficient numerical schemes. The well-known Crank-Nicolson scheme will be applied. It will be shown that the accuracy of the calculated results can be improved when the Crank-Nicolson scheme is combined with the Richardson Extrapolation.