Nonlinear Reaction–Diffusion Equations with Delay: Partial Survey, Exact Solutions, Test Problems, and Numerical Integration
The paper describes essential reaction–diffusion models with delay arising in population theory, medicine, epidemiology, biology, chemistry, control theory, and the mathematical theory of artificial neural networks. A review of publications on the exact solutions and methods for their construction i...
Main Authors: | Vsevolod G. Sorokin, Andrei V. Vyazmin |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-05-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/10/11/1886 |
Similar Items
-
Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
by: Andrei D. Polyanin, et al.
Published: (2023-07-01) -
Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
by: Andrei D. Polyanin, et al.
Published: (2021-03-01) -
Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays
by: Andrei D. Polyanin, et al.
Published: (2023-01-01) -
Multi-Parameter Reaction–Diffusion Systems with Quadratic Nonlinearity and Delays: New Exact Solutions in Elementary Functions
by: Andrei D. Polyanin, et al.
Published: (2022-05-01) -
Exact Solutions and Continuous Numerical Approximations of Coupled Systems of Diffusion Equations with Delay
by: Elia Reyes, et al.
Published: (2020-09-01)