Discrete derivatives and symmetries of difference equations
D. Levi, J. Negro, M. A. del Olmo
Abstract
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 equations. In this way we obtain a symmetry Lie algebra, defined in terms of shift operators, isomorphic to that of the continuous heat equation.
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