AN INTEGRATION SCHEME FOR REACTION–DIFFUSION MODELS

DOI10.1142/S0129183199000838zbMath0945.65105arXivcond-mat/9905184OpenAlexW3102725643MaRDI QIDQ4488301

Massimo Nitti, Alessandro Torcini, Stefano Ruffo

Publication date: 5 July 2000

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9905184

zbMATH Keywords

algorithmstabilityGinzburg-Landau equationfinite difference methodsreaction-diffusion equationFitzhugh-Nagumo equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Statistical mechanics of superconductors (82D55)

Cites Work

• A novel integration scheme for partial differential equations: an application to the complex Ginzburg-Landau equation
• Singular perturbation theory of traveling waves in excitable media (A review)
• The accuracy of symplectic integrators
• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
• A novel method for simulating the complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium

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