A modification of the Stiefel-Bettis method for nonlinearly damped oscillators

DOI10.1007/BF01934093zbMath0646.65063OpenAlexW2211924474MaRDI QIDQ1104057

B. George

Publication date: 1988

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01934093

zbMATH Keywords

predictornumerical experimentsimplicit methodtruncation error

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

• Unnamed Item
• Stabilization of Cowell's classical finite difference method for numerical integration
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Stabilization of Cowell's method
• Numerical computation of forced oscillations in coupled Duffing equations
• P-stable methods for periodic initial value problems of second order differential equations
• Algebraic-Numerical Method for the Slightly Perturbed Harmonic Oscillator
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions