Travelling waves for complete discretizations of reaction diffusion systems

DOI10.1007/S10884-014-9423-9zbMath1353.34094OpenAlexW2096957551MaRDI QIDQ330534

Erik S. Van Vleck, Hermen Jan Hupkes

Publication date: 26 October 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-014-9423-9

zbMATH Keywords

travelling wavessingular perturbationsBDF methodsfinite difference methodsspatial-temporal discretizations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Singular perturbations of functional-differential equations (34K26) Traveling wave solutions (35C07) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Lattice functional-differential equations (34K31)

Related Items (13)

Statistical approach for parameter identification by Turing patterns ⋮ Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness ⋮ Travelling waves for adaptive grid discretizations of reaction diffusion systems. II: Linear theory ⋮ Well-posedness and maximum principles for lattice reaction-diffusion equations ⋮ Travelling waves for adaptive grid discretizations of reaction diffusion systems. III: Nonlinear theory ⋮ Unbounded asymmetric stationary solutions of lattice Nagumo equations ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ Stability Investigation of Biosensor Model Based on Finite Lattice Difference Equations ⋮ Exponential number of stationary solutions for Nagumo equations on graphs ⋮ Travelling wave solutions for fully discrete FitzHugh-Nagumo type equations with infinite-range interactions ⋮ Traveling Waves for Spatially Discrete Systems of FitzHugh--Nagumo Type with Periodic Coefficients ⋮ Nonuniqueness of implicit lattice Nagumo equation. ⋮ Variational methods and implicit discrete Nagumo equation

Uses Software

• VODE
• DASSL
• RODAS
• LSODE

Cites Work

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