Lie Symmetries and Exact Solutions of First Order Difference Schemes

  title={Lie Symmetries and Exact Solutions of First Order Difference Schemes},
  author={M. A. Rodrı́guez and Peter March},
We show that any first order ordinary differential equation with a known Lie point symmetry group can be discretized into a difference scheme with the same symmetry group. In general, the lattices are not regular ones, but must be adapted to the symmetries considered. The invariant difference schemes can be so chosen that their solutions coincide exactly with those of the original differential equation. 

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references

Lie groupclassification of second order ordinary difference equations

R. Kozlov V. Dorodnitsyn, P. Winternitz
J . Math . Phys . • 2000

Lie symmetries and integra ion of difference equations

R. Sahadevan
Phys . Lett . A • 1993

Transformation groups in a space of difference variables

V. A. Dorodnitsyn
Applications of Lie Groups to Differential Equations • 1993

Canonical structure and symmetries for discrete systems , Math

S. Maeda

Lie symmetries of multidimensional difference equations

S. Tremblay, P. Winternitz
J . Phys . A

Similar Papers

Loading similar papers…