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nlin.SI2000★ 8 cited
Lie symmetries of difference equations
D. Levi, J. Negro, M. A. del Olmo
The discrete heat equation is worked out in order to illustrate the search of symmetries of difference equations. It is paid an special attention to the Lie structure of these symm…
nlin.SI2000★ 17 cited
Discrete derivatives and symmetries of difference equations
D. Levi, J. Negro, M. A. del Olmo
We show on the example of the discrete heat equation that for any given discrete derivative we can construct a nontrivial Leibniz rule suitable to find the symmetries of discrete e…