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

被引：27

作者：

Dorodnitsyn, V

Kozlov, R

机构：

[1] MV Keldysh Appl Math Inst, Moscow 125047, Russia

[2] Univ Oslo, Dept Informat, N-0371 Oslo, Norway

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2003年 / 10卷 / 01期

关键词：

D O I：

10.2991/jnmp.2003.10.1.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 o 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), 8139-8155], where a few invariant models or heat transfer equations were presented.

引用

页码：16 / 50

页数：35

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[2]

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