Discrete derivatives and symmetries of difference equations

Citation
D. Levi et al., Discrete derivatives and symmetries of difference equations, J PHYS A, 34(10), 2001, pp. 2023-2030
Citations number
16
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
10
Year of publication
2001
Pages
2023 - 2030
Database
ISI
SICI code
0305-4470(20010316)34:10<2023:DDASOD>2.0.ZU;2-R
Abstract
We show with an example of the discrete heat equation that for any given di screte derivative we can construct a nontrivial Leibniz rule suitable for f inding the symmetries of discrete equations. In this way we obtain a symmet ry Lie algebra, defined in terms of shift operators, isomorphic to that of the continuous heat equation.