Symmetry-preserving discrete schemes for some heat transfer equations

Details Symmetry-preserving discrete schemes for some heat transfer equations Symmetry-preserving discrete schemes for some heat transfer equations

2004-02-23

arxiv.org/abs/math/0402367v1

J. Phys. A 30 (1997), no. 23, 8139-8155

Mathematics

Numerical Analysis

21 pages, 4 ps figures

Scientific paper

10.1088/0305-4470/30/23/014

Lie group analysis of differential equations is a generally recognized method, which provides invariant solutions, integrability, conservation laws etc. In this paper we present three characteristic examples of the construction of invariant difference equations and meshes, where the original continuous symmetries are preserved in discrete models. Conservation of symmetries in difference modeling helps to retain qualitative properties of the differential equations in their difference counterparts.

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