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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-03-01
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Series: | Algorithms |
Subjects: | |
Online Access: | https://www.mdpi.com/1999-4893/16/4/184 |