Results 41 to 50 of about 469,036 (195)
Power spectrum and diffusion of the Amari neural field
, 2019 We study the power spectrum of a space-time dependent neural field which describes the average membrane potential of neurons in a single layer. This neural field is modelled by a dissipative integro-differential equation, the so-called Amari equation. By
Salasnich, Luca
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Partial Differential Equations in Applied MathematicsIn this article, a mathematical model of diffusion reaction in kinetically controlled cephalexin synthesis in the batch reactor with penicillin acylase immobilized in glyoxyl-agarose is analyzed. The kinetic model is a non-linear non-stead-state reaction–
M. Mallikarjuna, R. Senthamarai
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Solving the Caputo Fractional Reaction-Diffusion Equation on GPU
Discrete Dynamics in Nature and Society, 2014 We present a parallel GPU solution of the Caputo fractional reaction-diffusion equation in one spatial dimension with explicit finite difference approximation.
Jie Liu +4 more
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Long-time behavior of stochastic reaction–diffusion equation with multiplicative noise
Advances in Difference Equations, 2020 In this paper, we study the dynamical behavior of the solution for the stochastic reaction–diffusion equation with the nonlinearity satisfying the polynomial growth of arbitrary order p ≥ 2 $p\geq2$ and any space dimension N.
Jing Wang, Qiaozhen Ma, Tingting Liu
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Simulation of stochastic reaction-diffusion processes on unstructured meshes
, 2008 Stochastic chemical systems with diffusion are modeled with a reaction-diffusion master equation. On a macroscopic level, the governing equation is a reaction-diffusion equation for the averages of the chemical species.
Engblom, Stefan +3 more
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Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation
Discrete Dynamics in Nature and Society, 2015 We study reaction-diffusion equations with a general reaction function f on one-dimensional lattices with continuous or discrete time ux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z.
Petr Stehlík, Jonáš Volek
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Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems
Advances in Mathematical Physics, 2023 Convolution representation manifests itself as an important tool in the reduction of partial differential equations. In this study, we consider the convolution representation of traveling pulses in reaction-diffusion systems.
Satoshi Kawaguchi
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Reaction rates for a generalized reaction-diffusion master equation
, 2015 It has been established that there is an inherent limit to the accuracy of the reaction-diffusion master equation. Specifically, there exists a fundamental lower bound on the mesh size, below which the accuracy deteriorates as the mesh is refined further.
Hellander, Stefan, Petzold, Linda
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Results in Physics, 2019 Effect of chemical reaction on Li-ions diffusion and diffusion-reaction-induced stresses in a spherical electrode is studied, considering the reaction rate determined by the relation between hydrostatic stress and activation enthalpy, to derive new ...
Liangxinbu Lyu +4 more
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Stochastic simulation of catalytic surface reactions in the fast diffusion limit [PDF]
, 2006 The master equation of a lattice gas reaction tracks the probability of visiting all spatial configurations. The large number of unique spatial configurations on a lattice renders master equation simulations infeasible for even small lattices.
Haseltine, Eric L. +2 more
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