Application of adapted homotopy perturbation method for approximate solution of Henon-Heiles system
DOI10.1002/NUM.20506zbMath1202.65091OpenAlexW2010408967MaRDI QIDQ3055973
Filiz Tascan, Mehmet Naci Özer
Publication date: 10 November 2010
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.20506
symbolic computationapproximate solutionhomotopy perturbation methodHenon-Heiles systempackage Maple 10
Symbolic computation and algebraic computation (68W30) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Uses Software
Cites Work
- Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs
- Solutions of a class of singular second-order IVPs by homotopy-perturbation method
- Application of homotopy-perturbation method to nonlinear population dynamics models
- Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Application of He's homotopy perturbation method to Volterra's integro-differential equation
- Homotopy perturbation method for bifurcation of nonlinear problems
- Homotopy perturbation method: a new nonlinear analytical technique
- The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
- An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillators
- A modified algorithm for the Adomian decomposition method with applications to Lotka-Volterra systems
- Application of homotopy perturbation method to nonlinear wave equations
- Accuracy of the Adomian decomposition method applied to the Lorenz system
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
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