Results 51 to 60 of about 469,036 (195)
Spatial dynamics of a nonlocal bistable reaction diffusion equation
Electronic Journal of Differential Equations, 2020 This article concerns a nonlocal bistable reaction-diffusion equation with an integral term. By using Leray-Schauder degree theory, the shift functions and Harnack inequality, we prove the existence of a traveling wave solution connecting 0 to an ...
Bang-Sheng Han +2 more
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Open Physics, 2015 The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion systemturns into an iterative banded algebraic matrix equation.
Ersoy Ozlem, Dag Idris
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On a Conjecture of Goriely for the Speed of Fronts of the Reaction--Diffusion Equation
, 1996 In a recent paper Goriely considers the one--dimensional scalar reaction--diffusion equation $u_t = u_{xx} + f(u)$ with a polynomial reaction term $f(u)$ and conjectures the existence of a relation between a global resonance of the hamiltonian system ...
A. Goriely +12 more
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Mathematics, 2020 In this paper we propose and compare two methods to optimize the numerical computations for the diffusion term in a nonlocal formulation for a reaction-diffusion equation.
Mitică CRAUS, Silviu-Dumitru PAVĂL
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A Solvable Nonlinear Reaction-Diffusion Model
, 1993 We construct a coupled set of nonlinear reaction-diffusion equations which are exactly solvable. The model generalizes both the Burger equation and a Boltzman reaction equation recently introduced by Th. W. Ruijgrok and T. T.
Blanchard +7 more
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Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains
Abstract and Applied Analysis, 2013 This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
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A New Class of Cellular Automata for Reaction-Diffusion Systems
, 1993 We introduce a new class of cellular automata to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving average procedure to implement diffusion, and a ...
Boon, Jean-Pierre, Weimar, Jörg R.
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Limit cycles in the presence of convection, a first order analysis [PDF]
, 2006 We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system.
Flach, E. H., Norbury, John, Schnell, S.
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Scientific Reports, 2022 Dead-core and non-dead-core solutions to the nonlinear diffusion–reaction equation based on the generalized diffusion flux with gradient-dependent diffusivity and the power-law reaction kinetics in catalyst slabs are established.
Piotr Skrzypacz +5 more
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Application of hpDGFEM to mechanisms at channel microband electrodes [PDF]
, 2004 We extend our earlier work (Harriman et al., Oxford University Computing Laboratory Technical Report NA04/19) on hp-DGFEM for disc electrodes to the case of reaction mechanisms to the increasingly popular channel microband electrode configuration.
Gavaghan, D. J. +2 more
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