Advanced Analytic Self-Similar Solutions of Regular and Irregular Diffusion Equations

We study the diffusion equation with an appropriate change of variables. This equation is, in general, a partial differential equation (PDE). With the self-similar and related Ansatz, we transform the PDE of diffusion to an ordinary differential equation. The solutions of the PDE belong to a family...

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Bibliographic Details
Main Authors: Imre Ferenc Barna, László Mátyás
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/18/3281