Mathematics – Analysis of PDEs
Scientific paper
2003-09-08
J. Nonlinear Math. Phys., volume 10, no. 1 (2003) 16-50
Mathematics
Analysis of PDEs
arxiv version is already official
Scientific paper
In this letter we present the set of invariant difference equations and meshes which preserve the Lie group symmetries of the equation u_{t}=(K(u)u_{x})_{x}+Q(u). All special cases of K(u) and Q(u) that extend the symmetry group admitted by the differential equation are considered. This paper completes the paper [J. Phys. A: Math. Gen. 30, no. 23 (1997) 8139-8155], where a few invariant models for heat transfer equations were presented.
Dorodnitsyn Vladimir
Kozlov Roman
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