Devising efficient numerical methods for oscillating patterns in reaction-diffusion systems

DOI10.1016/j.cam.2015.04.044zbMath1329.65187OpenAlexW1467957547WikidataQ62027840 ScholiaQ62027840MaRDI QIDQ495100

Giuseppina Settanni, Ivonne Sgura

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.04.044

zbMATH Keywords

symplectic schemesADI methodsSchnakenberg modelhigh order finite differencesIMEX methodsTuring-Hopf patterns

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (11)

Numerical analysis of a first-order in time implicit-symplectic scheme for predator-prey systems ⋮ Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems ⋮ Stability and errors estimates of a second-order IMSP scheme ⋮ A Meshfree Approach Based on Moving Kriging Interpolation for Numerical Solution of Coupled Reaction-Diffusion Problems ⋮ Piecewise DMD for oscillatory and Turing spatio-temporal dynamics ⋮ Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications ⋮ Simple efficient simulation of the complex dynamics of some nonlinear hyperbolic predator-prey models with spatial diffusion ⋮ Exponential integrator methods for systems of non-linear space-fractional models with super-diffusion processes in pattern formation ⋮ Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model ⋮ Cross-diffusion effects on a morphochemical model for electrodeposition ⋮ Analysis and simulation of numerical schemes for nonlinear hyperbolic predator-prey models with spatial diffusion

Uses Software

• HOFiD_UP

Cites Work

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• Spatio-temporal organization in a morphochemical electrodeposition model: Hopf and Turing instabilities and their interplay
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics

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