Search Results - subject:"Reaction–diffusion"

Stable schemes for partial differential equations: the one-dimensional reaction–diffusion equation

Teixeira, João - In: Mathematics and Computers in Simulation (MATCOM) 64 (2004) 5, pp. 507-520

Reaction–diffusion equations are fundamental in modelling several natural phenomena. The numerical schemes used to … diffusion equation in a stable and explicit manner is extended to the reaction–diffusion equation. The new scheme imposes a … applied to the linear single kinetic reaction–diffusion equation and to the classical Fisher equation. Different possibilities …

Persistent link: https://www.econbiz.de/10010750201

Reaction fronts in reversible A+B⇌C reaction–diffusion systems

Koza, Zbigniew - In: Physica A: Statistical Mechanics and its Applications 330 (2003) 1, pp. 160-166

We discuss recently developed methods of studying long-time properties of initially separated reaction–diffusion …

Persistent link: https://www.econbiz.de/10011057026

Travelling-wave solutions of coupled nonlinear evolution equations

Malfliet, W. - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 1, pp. 101-108

The tanh technique is used to solve exactly a set of nonlinear coupled equations small describing a problem arising in geochemistry. Next a coupled problem originating from the field of (deterministic) random walk theory with reaction kinetics is investigated but now solved approximately. The...

Persistent link: https://www.econbiz.de/10010749422

A quasi-random walk method for one-dimensional reaction–diffusion equations

Ogawa, S.; Lécot, C. - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 3, pp. 487-494

Probabilistic methods are presented to solve one-dimensional nonlinear reaction–diffusion equations. Computational …

Persistent link: https://www.econbiz.de/10010750194

CHEMICAL PATTERNS IN SIMPLE FLOW SYSTEMS

TAYLOR, ANNETTE - In: Advances in Complex Systems (ACS) 06 (2003) 01, pp. 155-162

The addition of flow to chemical reaction-diffusion systems provides robust pattern-forming mechanisms which are …

Persistent link: https://www.econbiz.de/10005047430

Modelling rumors: the no plane Pentagon French hoax case

Galam, Serge - In: Physica A: Statistical Mechanics and its Applications 320 (2003) C, pp. 571-580

September 11’, is given a generic explanation in terms of a model of minority opinion spreading. Using a majority rule reaction–diffusion …

Persistent link: https://www.econbiz.de/10010591083

Patterns in reaction–diffusion systems generated by global alternation of dynamics

Buceta, J.; Lindenberg, Katja - In: Physica A: Statistical Mechanics and its Applications 325 (2003) 1, pp. 230-242

We recently proposed a mechanism for inducing a Turing instability by alternation of reaction–diffusion dynamics each … instability and which do not. We also consider a particular reaction–diffusion model to illustrate the mechanism. …

Persistent link: https://www.econbiz.de/10010591661

Analytic solutions for nonlinear waves in coupled reacting systems

Abramson, G.; Kenkre, V.M.; Bishop, A.R. - In: Physica A: Statistical Mechanics and its Applications 305 (2002) 3, pp. 427-436

We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison is made between exact solutions and solutions of the...

Persistent link: https://www.econbiz.de/10010874184

Simulation analysis of the effects of the simultaneous release of quanta of acetylcholine on the endplate current at the neuromuscular junction

Naka, Takashi; Sakamoto, Naoto - In: Mathematics and Computers in Simulation (MATCOM) 59 (2002) 1, pp. 87-94

of the post-synaptic membrane. In this study, a mathematical model for EPC generation is developed as a reaction–diffusion …

Persistent link: https://www.econbiz.de/10011050281

Imaginary noise and parity conservation in the reaction A+A⇌0

Deloubrière, O.; Frachebourg, L.; Hilhorst, H.J.; … - In: Physica A: Statistical Mechanics and its Applications 308 (2002) 1, pp. 135-147

generally in field-theoretic treatments of reaction–diffusion problems. For this example we study the probability flow in the … to occur similarly in other Langevin equations associated with reaction–diffusion problems. …

Persistent link: https://www.econbiz.de/10011058777