Numerical simulation to capture the pattern formation of coupled reaction-diffusion models

DOI10.1016/j.chaos.2017.06.023zbMath1380.65317OpenAlexW2724513501MaRDI QIDQ1681704

Sukhveer Singh, Ram Jiwari, Ajay Kumar

Publication date: 24 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.06.023

zbMATH Keywords

differential quadrature methodThomas algorithmtraveling wave solutiontrigonometric cubic B-spline functionscoupled reaction-diffusion models

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Reaction-diffusion equations (35K57) Numerical integration (65D30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (13)

Numerical simulation to study the pattern formation of reaction-diffusion Brusselator model arising in triple collision and enzymatic ⋮ A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation ⋮ A finite element approach to capture Turing patterns of autocatalytic Brusselator model ⋮ High-fidelity simulations for Turing pattern formation in multi-dimensional Gray-Scott reaction-diffusion system ⋮ Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions ⋮ Numerical simulation of the Lorenz-type chaotic system using barycentric Lagrange interpolation collocation method ⋮ Wavelets computational modeling of nonlinear coupled reaction–diffusion models arising in chemical processes ⋮ Numerical simulation for computational modelling of reaction-diffusion Brusselator model arising in chemical processes ⋮ Unnamed Item ⋮ Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation ⋮ A composite algorithm for numerical solutions of two-dimensional coupled Burgers' equations ⋮ From continuous-time random walks to controlled-diffusion reaction ⋮ Analysis of chaotic behavior of three-dimensional dynamical systems by a B-spline differential quadrature algorithm

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