Volume 10, Issue 1, February 2003, Pages 16 - 50
A Heat Transfer with a Source: the Complete Set of Invariant Difference Schemes
Vladimir Dorodnitsyn, Roman Kozlov
Received 28 February 2002, Revised 11 July 2002, Accepted 24 July 2002, Available Online 1 February 2003.
- https://doi.org/10.2991/jnmp.2003.10.1.3How to use a DOI?
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Vladimir Dorodnitsyn AU - Roman Kozlov PY - 2003 DA - 2003/02 TI - A Heat Transfer with a Source: the Complete Set of Invariant Difference Schemes JO - Journal of Nonlinear Mathematical Physics SP - 16 EP - 50 VL - 10 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2003.10.1.3 DO - https://doi.org/10.2991/jnmp.2003.10.1.3 ID - Dorodnitsyn2003 ER -