Nonlinear diffusion and stable period 2 solutions of a discrete reaction- diffusion model

DOI10.1016/0377-0427(89)90039-3zbMath0671.65084OpenAlexW2059374371MaRDI QIDQ1119366

A. R. Mitchell, Schalk W. Schoombie

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90039-3

zbMATH Keywords

stabilityfinite differencenonlinear diffusiondiscreteEuler methods in timemethod in spacereaction- diffusion modelstable period 2 solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (3)

On spurious fixed points of Runge-Kutta methods ⋮ Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I: The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics ⋮ Regularity properties of one-leg methods for delay differential equations

Cites Work

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• A two-dimensional mapping with a strange attractor
• On the diffusion of biological populations
• Analysis of a nonlinear difference scheme in reaction-diffusion
• Long-Time Behavior of a Class of Biological Models
• Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
• Weak travelling fronts for population models with density dependent dispersion
• Stable Periodic Bifurcations of an Explicit Discretization of a Nonlinear Partial Differential Equation in Reaction Diffusion
• Traveling Wave Solution for Some Nonlinear Diffusion Equations
• Simple mathematical models with very complicated dynamics

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