Towards new schemes: A Lie-group approach of the CBKDV and its derived equations

Details Towards new schemes: A Lie-group approach of the CBKDV and its derived equations Towards new schemes: A Lie-group approach of the CBKDV and its derived equations

2008-03-02

arxiv.org/abs/0803.0135v1

Mathematics

Analysis of PDEs

Scientific paper

The aim of this paper is to propose methods that enable us to build new numerical schemes, which preserve the Lie symmetries of the original differential equations. To this purpose, the compound Burgers-Korteweg-de Vries (\textit{CBKDV}) equation is considered. The particular case of the Burgers equation is taken as a numerical example, and the resulting semi-invariant scheme is exposed.

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