Numerical Study of Two-Dimensional Reaction-Diffusion Brusselator System by Differential Quadrature Method

DOI10.1080/15502287.2010.540300zbMath1239.65065OpenAlexW1981518330MaRDI QIDQ3118283

Ram Jiwari, Ramesh Chand Mittal

Publication date: 2 March 2012

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2010.540300

zbMATH Keywords

numerical examplesRunge-Kutta methoddifferential quadrature methodenzymatic reactionchemical system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Chemically reacting flows (80A32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items

A finite element approach to capture Turing patterns of autocatalytic Brusselator model ⋮ Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems ⋮ Quartic and quintic B-spline methods for advection-diffusion equation ⋮ A Galerkin-type method for solving a delayed model on HIV infection of CD4\(^+\) T-cells ⋮ Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation

Cites Work

• Unnamed Item
• Three different methods for numerical solution of the EW equation
• A differential quadrature algorithm for nonlinear Schrödinger equation
• Convergence properties of the Runge-Kutta-Chebyshev method
• Accelerated convergence of Jameson's finite-volume Euler scheme using van der Houwen integrators
• 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
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations