We show with an example of the discrete heat equation that for any given discrete derivative we can construct a nontrivial Leibniz rule suitable for finding 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.
Levi, D., Negro, J., del Olmo, M.a. (2001). Discrete derivatives and symmetries of difference equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 34(10), 2023-2030 [10.1088/0305-4470/34/10/306].
Discrete derivatives and symmetries of difference equations
LEVI, Decio;
2001-01-01
Abstract
We show with an example of the discrete heat equation that for any given discrete derivative we can construct a nontrivial Leibniz rule suitable for finding 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.File in questo prodotto:
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