The discrete heat equation is worked out to illustrate the search of symmetries of difference equations. Special attention it is paid to the Lie structure of these symmetries, as well as to their dependence on the derivative's discretization. The case of q-symmetries for discrete equations in a q-lattice is briefly considered at the end.
Levi, D., Negro, J., del Olmo, M.a. (2001). Lie symmetries of difference equations. CZECHOSLOVAK JOURNAL OF PHYSICS, 51(4), 341-348 [10.1023/A:1017541506672].
Lie symmetries of difference equations
LEVI, Decio;
2001-01-01
Abstract
The discrete heat equation is worked out to illustrate the search of symmetries of difference equations. Special attention it is paid to the Lie structure of these symmetries, as well as to their dependence on the derivative's discretization. The case of q-symmetries for discrete equations in a q-lattice is briefly considered at the end.File in questo prodotto:
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