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Bratus, A.S., Novozhilov, A.S. and Platonov, A.P. (2010) Dynamical Systems and Models in Biology. Fizmatlit, Moscow. (In Russian)

has been cited by the following article:

• TITLE: Lie Algebra of Infinitesimal Generators of the Symmetry Group of the Heat Equation

  AUTHORS: Narmanov Otabek Abdigapparovich

  KEYWORDS: Lie Group, Heat Equation, Symmetry Group

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.2, February 14, 2018

  ABSTRACT: Last time symmetry methods have been recognized to be of great importance for the study of the differential equations arising in mathematics and physics. The purpose of this paper is to provide some application of Lie groups to heat equation. In this example, we determine Lie algebra of infinitesimal generators of symmetry group of heat equation and construct group-invariant solutions of this equation. The some computational methods are presented so that researchers in other fields can readily learn to use them.