Revisiting the Group Classification of the General Nonlinear Heat Equation <i>u<sub>t</sub></i> = (<i>K</i>(<i>u</i>)<i>u<sub>x</sub></i>)<i><sub>x</sub></i>

Revisiting the Group Classification of the General Nonlinear Heat Equation <i>u<sub>t</sub></i> = (<i>K</i>(<i>u</i>)<i>u<sub>x</sub></i>)<i><sub>x</sub></i>

Group classification is a powerful tool for identifying and selecting the free elements—functions or parameters—in partial differential equations (PDEs) that maximize the symmetry properties of the model. In this paper, we revisit the group classification of the general nonlinear heat (or diffusion)...

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Bibliographic Details
Main Author: Winter Sinkala
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
group classification
nonlinear heat equation
Lie symmetries
diffusion models
Online Access:https://www.mdpi.com/2227-7390/13/6/911
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