title: |
A Heat Transfer with a Source: the Complete Set of Invariant Difference Schemes |
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publication: |
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| volume-issue: | 10 - 1 | |
| pages: | 16 - 50 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.1.3 (how to use a DOI) | |
author(s): |
Vladimir DORODNITSYN, Roman KOZLOV |
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publication date: |
February 2003 |
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abstract: |
In this letter we present the set of invariant difference equations and meshes which
preserve the Lie group symmetries of the equation ut = (K(u)ux)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, Nr. 23 (1997), 81398155], where a few invariant models for heat transfer equations
were presented. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |