Point transformations in invariant difference schemes

Details Point transformations in invariant difference schemes Point transformations in invariant difference schemes

2005-07-17

arxiv.org/abs/math-ph/0507041v1

Physics

Mathematical Physics

19 pages, 4 figures, submitted to J. Phys. A: Math. Gen

Scientific paper

In this paper, we show that when two systems of differential equations
admitting a symmetry group are related by a point transformation it is always
possible to generate invariant schemes, one for each system, that are also
related by the same transformation. This result is used to easily obtain new
invariant schemes of some differential equations.

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