Euler-like discrete models of the logistic differential equation

DOI10.1016/S0898-1221(98)80022-9zbMath0933.65141OpenAlexW1989396691WikidataQ115338525 ScholiaQ115338525MaRDI QIDQ1962922

Rita Meyer-Spasche, K. Grote

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)80022-9

zbMATH Keywords

dynamical systemsdifference schemesnumerical stabilityEuler methodblow-up solutionsstepsize controllogistic differential equationnonstandard schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

On the susceptibility of numerical methods to computational chaos and superstability, Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations., Euler-like discrete models of the logistic differential equation, On the Logistic Equation in the Complex Plane

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