Analysis of resonant oscillators with the Adomian decomposition method

DOI10.1016/j.physleta.2006.04.071zbMath1236.65081OpenAlexW2085021365MaRDI QIDQ950972

Waleed Al-Hayani, Luis Casasús, Afrah Saad Mahmood

Publication date: 29 October 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.04.071

zbMATH Keywords

decomposition methodnonlinear oscillatorsresonance

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications to the sciences (65Z05)

Related Items (2)

Application of parameter expansion method to the generalized nonlinear discontinuity equation ⋮ Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods

Cites Work

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• Convergence of Adomian's method applied to differential equations
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• Nonlinear equations with mixed derivatives
• Inversion of nonlinear stochastic operators
• The decomposition method for ordinary differential equations with discontinuities
• New ideas for proving convergence of decomposition methods
• The decomposition method for stiff systems of ordinary differential equations
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
• Resonance in a Weakly Nonlinear System with Slowly Varying Parameters
• Adiabatic Invariance and Transient Resonance in Very Slowly Varying Oscillatory Hamiltonian Systems
• Passages through resonance in weakly nonlinear systems

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