Exact Solutions of the Nonlinear Diffusion Equation
- 作者: Kosov A.1, Semenov È.1
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隶属关系:
- Matrosov Institute of Systems Dynamics and Control Theory
- 期: 卷 60, 编号 1 (2019)
- 页面: 93-107
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172213
- DOI: https://doi.org/10.1134/S0037446619010117
- ID: 172213
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详细
We construct new radially symmetric exact solutions of the multidimensional nonlinear diffusion equation, which can be expressed in terms of elementary functions, Bessel functions, Jacobi elliptic functions, Lambert W-function, and the exponential integral. We find new self-similar solutions of a spatially one-dimensional parabolic equation similar to the nonlinear heat equation. Our exact solutions can help verify difference schemes and numerical calculations used in the mathematical modeling of processes and phenomena described by these equations.
作者简介
A. Kosov
Matrosov Institute of Systems Dynamics and Control Theory
编辑信件的主要联系方式.
Email: kosov_idstu@mail.ru
俄罗斯联邦, Irkutsk
È. Semenov
Matrosov Institute of Systems Dynamics and Control Theory
编辑信件的主要联系方式.
Email: edwseiz@gmail.com
俄罗斯联邦, Irkutsk