Open AccessDiffusion-convection equations and classical symmetry classification
Author(s) -
Yi Tian
Publication year - 2019
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1904151t
Subject(s) - convection , symmetry (geometry) , convection–diffusion equation , diffusion , homogeneous space , physics , diffusion equation , diffusion process , mathematics , mechanics , thermodynamics , computer science , geometry , innovation diffusion , knowledge management , economy , economics , service (business)
In this paper, Lie algorithm is used to classify the classical symmetry of a general diffusion-convection equation. The solution process is elucidated for different conditions, and the obtained symmetries can be used to study the solution properties of the diffusion-convection equation.