Computation of traveling waves for spatially discrete bistable reaction-diffusion equations

DOI10.1016/0168-9274(95)00123-9zbMath0856.65116OpenAlexW2131957522MaRDI QIDQ1917450

Christopher E. Elmer, Erik S. Van Vleck

Publication date: 7 July 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00123-9

zbMATH Keywords

numerical experimentslattice anisotropycollocationtraveling wave solutionspropagation failuredifferential difference two-point boundary problemssystem of bistable reaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (6)

Pushed and pulled fronts in a discrete reaction-diffusion equation ⋮ Existence of traveling wave fronts of delayed lattice differential equations ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation ⋮ Traveling waves in lattice dynamical systems ⋮ Analysis of Newton's method to compute travelling waves in discrete media

Uses Software

• pchip

Cites Work

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