Finite-difference schemes having the correct linear stability properties for all finite step-sizes. III

DOI10.1016/0898-1221(94)90056-6zbMath0795.65040OpenAlexW2038276476MaRDI QIDQ1324329

I. Ramadhani, Ronald E. Mickens

Publication date: 23 June 1994

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

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90056-6

zbMATH Keywords

linear stabilitydifference equationsfinite difference schemesDuffing equationfirst-order ordinary differential equationsvan der Pol equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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• Euler's finite difference scheme and chaos
• Properties of finite difference models of non-linear conservative oscillators
• OSCILLATIONS IN AN x4/3POTENTIAL
• Calculation of oscillatory properties of the solutions of two coupled, first order non-linear ordinary differential equations
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis

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