A heat transfer with a source: the complete set of invariant difference schemes
Analysis of PDEs
2015-06-26 v1
Abstract
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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Cite
@article{arxiv.math/0309139,
title = {A heat transfer with a source: the complete set of invariant difference schemes},
author = {Vladimir Dorodnitsyn and Roman Kozlov},
journal= {arXiv preprint arXiv:math/0309139},
year = {2015}
}
Comments
arxiv version is already official