A sixth-order modification of the Stiefel-Bettis method for nonlinearly damped oscillators
DOI10.1016/0045-7825(89)90159-XzbMath0684.65076OpenAlexW1999358478MaRDI QIDQ1825610
Publication date: 1989
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(89)90159-x
numerical resultsoscillating solutionssixth-order accuracypolynomial ordersecond- order initial value problemsStiefel-Bettis methodtrigonometric order
Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Cites Work
- Fast Galerkin method and its application to determine periodic solutions of nonlinear oscillators
- A modification of the Stiefel-Bettis method for nonlinearly damped oscillators
- Stabilization of Cowell's classical finite difference method for numerical integration
- Differential tones in a damped mechanical system with quadratic and cubic non-linearities
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- Stabilization of Cowell's method
- Numerical computation of forced oscillations in coupled Duffing equations
- A Sixth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems
- P-stable methods for periodic initial value problems of second order differential equations
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