A Heat Transfer with a Source: the Complete Set of Invariant Difference Schemes
نویسنده
چکیده
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), 8139–8155], where a few invariant models for heat transfer equations were presented.
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