Maintaining the stability of nonlinear differential equations by the enhancement of HPM
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Publication:637469
DOI10.1016/j.physleta.2007.12.054zbMath1220.70018OpenAlexW2016733106MaRDI QIDQ637469
Publication date: 2 September 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.12.054
Nonlinear ordinary differential equations and systems (34A34) Stability for nonlinear problems in mechanics (70K20) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
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Cites Work
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- The application of He's variational iteration method to nonlinear equations arising in heat transfer
- An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude
- An analytic approximate approach for free oscillations of self-excited systems
- Application of He's homotopy perturbation method for Laplace transform
- Numerical simulation of the generalized Huxley equation by He's homotopy perturbation method
- Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
- An approximate solution technique depending on an artificial parameter: A special example
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- An approximate solution technique not depending on small parameters: A special example
- Homotopy perturbation technique
- The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
- An analytic approach to solve multiple solutions of a strongly nonlinear problem
- Comparison between the homotopy analysis method and homotopy perturbation method
- The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
