Article

Lie Algebra of Infinitesimal Generators of the Symmetry Group of the Heat Equation

Narmanov Otabek AbdigapparovichTashkent University of Information Technologies, Tashkent, Uzbekistan

Journal of Applied Mathematics and Physicsjournal2018en

ABI

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.

Topics

Polynomial and algebraic computation Nonlinear Waves and Solitons Advanced Numerical Analysis Techniques

Identifiers

DOI: 10.4236/jamp.2018.62035

Citations and references

Cited by 1 2 references

Metrics — AkademScholar · Coming soon