Analytical and Numerical Results for the Transient Diffusion Equation with Diffusion Coefficient Depending on Both Space and Time

The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self-similar Ansatz. Then, the analytical solution for...

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Bibliographic Details
Main Authors: Mahmoud Saleh, Endre Kovács, Imre Ferenc Barna
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/16/4/184