A heat transfer with a source: the complete set of invariant difference schemes

Details A heat transfer with a source: the complete set of invariant difference schemes A heat transfer with a source: the complete set of invariant difference schemes

2003-09-08

arxiv.org/abs/math/0309139v1

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.

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