Effective approximate methods for strongly nonlinear differential equations with oscillations
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Publication:2391739
DOI10.1186/2251-7456-6-32zbMath1271.65106OpenAlexW2039808715WikidataQ59288237 ScholiaQ59288237MaRDI QIDQ2391739
Kamel Al-Khaled, Marwan Alquran
Publication date: 5 August 2013
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/2251-7456-6-32
nonlinear oscillationsLindstedt-Poincaré methoddifferential transform methodKrylov-Bogoliubov method
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
- A novel harmonic balance analysis for the van der Pol oscillator
- A new method based on the harmonic balance method for nonlinear oscillators
- Perturbation method for periodic solutions of nonlinear jerk equations
- The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators
- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. II: A new transformation
- On the existence of solutions for strongly nonlinear differential equations
- Homotopy-perturbation method for pure nonlinear differential equation
- Global error minimization method for solving strongly nonlinear oscillator differential equations
- A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
- Solutions of the system of differential equations by differential transform method
- A classical perturbation technique which is valid for large parameters
- Harmonic balance approach to periodic solutions of non-linear jerk equations
- A NEW PERTURBATION TECHNIQUE WHICH IS ALSO VALID FOR LARGE PARAMETERS
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
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