Results 21 to 30 of about 110,349 (310)

The gradient discretisation method for the chemical reactions of biochemical systems [PDF]

Arab Journal of Mathematical Sciences
Purpose – The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary conditions.
Yahya Alnashri, Hasan Alzubaidi
doaj   +1 more source

Reaction–diffusion equations for the infinity Laplacian [PDF]

Nonlinear Analysis, 2020
We derive sharp regularity for viscosity solutions of an inhomogeneous infinity Laplace equation across the free boundary, when the right hand side does not change sign and satisfies a certain growth condition. We prove geometric regularity estimates for solutions and conclude that once the source term is comparable to a homogeneous function, then the ...
Diehl, Nicolau M.L., Teymurazyan, Rafayel   +1 more
openaire   +4 more sources

Waveform relaxation for reaction–diffusion equations

Journal of Computational and Applied Mathematics, 2011
The authors propose a new waveform relaxation algorithm for general semi-linear reaction-diffusion equations. Compared with the classical waveform relaxation algorithm, the new one has two advantages: the first one is that the system is not decomposed into sub-systems; the second one is represented by the fact that the convergence rate of the new ...
Jun Liu 0064, Yao-Lin Jiang
openaire   +2 more sources

Reaction–diffusion equations in the half-space

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022
We study reaction–diffusion equations of various types in the half-space. For bistable reactions with Dirichlet boundary conditions, we prove conditional uniqueness: there is a unique nonzero bounded steady state which exceeds the bistable threshold on large balls.
Cole Graham, Henri Berestycki
openaire   +4 more sources

Uncoupling Techniques for Multispecies Diffusion–Reaction Model

Computation, 2023
We consider the multispecies model described by a coupled system of diffusion–reaction equations, where the coupling and nonlinearity are given in the reaction part. We construct a semi-discrete form using a finite volume approximation by space.
Maria Vasilyeva, Sergei Stepanov, Alexey Sadovski, Stephen Henry   +3 more
doaj   +1 more source

Nonlocal Reaction-Diffusion Equations in Population Dynamics [PDF]

Memoirs of the Scientific Sections of the Romanian Academy, 2019
This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral ...
V. Volpert
doaj  

Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation

Journal of Function Spaces, 2022
The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah, Essam R. El-Zahar, Hina M. Dutt, Mohammad Asif Arefin   +3 more
doaj   +1 more source

Spreading speeds and spreading sets of~reaction-diffusion equations

, 2022
This paper deals with the large time dynamics of bounded solutions of reaction-diffusion equations with unbounded initial support in $\mathbb{R}^N$.
Hamel, François, Rossi, Luca
core   +1 more source

Asymptotic Behavior of Stochastic Reaction–Diffusion Equations

Mathematics
In this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the
Hao Wen, Yuanjing Wang, Guangyuan Liu, Dawei Liu   +3 more
doaj   +1 more source

Splitting spectral element method for fractional reaction-diffusion equations

Journal of Algorithms & Computational Technology, 2020
In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
doaj   +1 more source