Numerical solution of two-dimensional reaction-diffusion Brusselator system

DOI10.1016/j.amc.2010.12.010zbMath1209.65102OpenAlexW1977694665MaRDI QIDQ628890

Ram Jiwari, Ramesh Chand Mittal

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.010

zbMATH Keywords

stabilityconvergencenumerical resultsRunge-Kutta methodsystem of ordinary differential equationsdifferential quadrature methodchemical systemsenzymatic reactionsplasma and laser physicsreaction-diffusion Brusselator system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Structure preserving numerical analysis of reaction-diffusion models, Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions, Numerical simulation to study the pattern formation of reaction-diffusion Brusselator model arising in triple collision and enzymatic, Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion, Global dissipative dynamics of the extended Brusselator system, Numerical simulation to capture the pattern formation of coupled reaction-diffusion models, 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, Bifurcation behaviors of steady-state solution to a discrete general Brusselator model, A finite element approach to capture Turing patterns of autocatalytic Brusselator model, Error estimate of the non-intrusive reduced basis (NIRB) two-grid method with parabolic equations, A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source, A differential quadrature method for numerical solutions of Burgers'‐type equations, A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation, Cosine expansion based differential quadrature algorithm for numerical simulation of two dimensional hyperbolic equations with variable coefficients, A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions, SEMI-ANALYTICAL SOLUTIONS FOR THE BRUSSELATOR REACTION–DIFFUSION MODEL, Numerical simulation for computational modelling of reaction-diffusion Brusselator model arising in chemical processes, A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes, An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems, A meshless collocation approach with barycentric rational interpolation for two-dimensional hyperbolic telegraph equation, Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation, Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach, Numerical simulation on hyperbolic diffusion equations using modified cubic B-spline differential quadrature methods, A numerical study of two-dimensional coupled systems and higher order partial differential equations, Computational scheme for the time-fractional reaction-diffusion Brusselator model, A different approach for conformable fractional biochemical reaction-diffusion models, Numerical Solutions of Differential Equations Using Modified B-spline Differential Quadrature Method, Third-order approximate solution of chemical reaction-diffusion Brusselator system using optimal homotopy asymptotic method, Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers' and Burgers' equations, Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems, A highly accurate time-space pseudospectral approximation and stability analysis of two dimensional Brusselator model for chemical systems, The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction-diffusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• Convergence properties of the Runge-Kutta-Chebyshev method
• Accelerated convergence of Jameson's finite-volume Euler scheme using van der Houwen integrators
• Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
• Numerical solution of the three-dimensional advection--diffusion equation.
• 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
• The diffusion-Brusselator equation
• The solution of coupled Burgers' equations using Adomian-Padé technique
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• On the numerical solution of the one-dimensional convection-diffusion equation
• Time‐splitting procedures for the solution of the two‐dimensional transport equation