Exact Solutions of the Nonlinear Diffusion Equation
- Авторлар: Kosov A.1, Semenov È.1
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Мекемелер:
- Matrosov Institute of Systems Dynamics and Control Theory
- Шығарылым: Том 60, № 1 (2019)
- Беттер: 93-107
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172213
- DOI: https://doi.org/10.1134/S0037446619010117
- ID: 172213
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Kosov
Matrosov Institute of Systems Dynamics and Control Theory
Хат алмасуға жауапты Автор.
Email: kosov_idstu@mail.ru
Ресей, Irkutsk
È. Semenov
Matrosov Institute of Systems Dynamics and Control Theory
Хат алмасуға жауапты Автор.
Email: edwseiz@gmail.com
Ресей, Irkutsk
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