A computationally efficient scheme for the non-linear diffusion equation |
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Authors: | P. Termonia |
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Affiliation: | Royal Meteorological Institute of Belgium, Ringlaan 3, B-1180 Brussels, Belgium |
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Abstract: | This Letter proposes a new numerical scheme for integrating the non-linear diffusion equation. It is shown that it is linearly stable. Some tests are presented comparing this scheme to a popular decentered version of the linearized Crank-Nicholson scheme, showing that, although this scheme is slightly less accurate in treating the highly resolved waves, (i) the new scheme better treats highly non-linear systems, (ii) better handles the short waves, (iii) for a given test bed turns out to be three to four times more computationally cheap, and (iv) is easier in implementation. |
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Keywords: | 02.60.Lj 47.11.-j 47.27.Tb 92.60.Hk |
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