Numerical simulation to study the pattern formation of reaction-diffusion Brusselator model arising in triple collision and enzymatic
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Publication:1649156
DOI10.1007/s10910-018-0859-8zbMath1394.92153OpenAlexW2791301296MaRDI QIDQ1649156
Publication date: 5 July 2018
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-018-0859-8
reaction-diffusion Brusselator systemmodified trigonometric cubic B-spline differential quadrature methodRunge-Kutta \(4^{\text{th}}\) ordertrigonometric cubic B-spline functions
Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stochastic games, stochastic differential games (91A15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions
- A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
- A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes
- Dynamical behaviors of the Brusselator system with impulsive input
- A computational modeling of the behavior of the two-dimensional reaction-diffusion Brusselator system
- Numerical solution of two-dimensional reaction-diffusion Brusselator system
- A differential quadrature algorithm for nonlinear Schrödinger equation
- Chemical instabilities and sustained oscillations
- Convergence properties of the Runge-Kutta-Chebyshev method
- The two-dimensional reaction--diffusion Brusselator system: A dual-reciprocity boundary element solution.
- The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
- A second-order scheme for the ``Brusselator reaction-diffusion system
- Numerical simulation to capture the pattern formation of coupled reaction-diffusion models
- A differential quadrature based procedure for parameter identification
- Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
- The diffusion-Brusselator equation
- Adaptive moving mesh computations for reaction--diffusion systems
- Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
- Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method
- Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion
- A differential quadrature method for numerical solutions of Burgers'‐type equations
- Differential Quadrature Method for Two-Dimensional Burgers' Equations
- The chemical basis of morphogenesis
- Shock wave simulations using Sinc Differential Quadrature Method
- Numerical solutions for a coupled non-linear oscillator
