Hybrid numerical methods for periodic initial value problems involving second-order differential equations

DOI10.1016/0307-904X(81)90060-3zbMath0477.65056OpenAlexW2026918588MaRDI QIDQ1161038

S. Singh

Publication date: 1981

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(81)90060-3

zbMATH Keywords

numerical resultsP-stabilityhybrid methodssystem of second-order initial value problemsundamped Duffing equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Celestial mechanics (70F15)

Related Items

Software for the Frobenius method for the solution of nonlinear differential equations, Adaptive methods for periodic initial value problems of second order differential equations, Analysis of a class of multi-stage, multistep Runge-Kutta methods

Cites Work

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• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Numerical integration of products of Fourier and ordinary polynomials
• Stabilization of Cowell's method
• Trigonometric Interpolation and Predictor‐Corrector Formulas for Numerical Integration
• Symmetric Multistip Methods for Periodic Initial Value Problems
• On accuracy and unconditional stability of linear multistep methods for second order differential equations