Anisotropy, propagation failure, and wave speedup in traveling waves of discretizations of a Nagumo PDE

DOI10.1016/S0021-9991(03)00004-4zbMath1019.65069MaRDI QIDQ1873331

Christopher E. Elmer, Erik S. Van Vleck

Publication date: 20 May 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

error analysistraveling wavesNagumo equationspatial and temporal discretizationbistable partial differential equation

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)

Related Items

Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness, Travelling waves for complete discretizations of reaction diffusion systems, Travelling waves for adaptive grid discretizations of reaction diffusion systems. III: Nonlinear theory, Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations, Finding stationary fronts for a discrete Nagumo and wave equation; construction, Travelling wave solutions for fully discrete FitzHugh-Nagumo type equations with infinite-range interactions

Uses Software

• DASSL
• LSODE

Cites Work

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