An accurate method for solving the undamped Duffing equation with cubic nonlinearity

DOI10.1007/s40819-018-0502-1zbMath1401.76020OpenAlexW2793226051MaRDI QIDQ1794625

Muhammed I. Syam, Mahmmoud M. Syam, Muhammad Asif Zahoor Raja, Husein M. Jaradat

Publication date: 15 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0502-1

zbMATH Keywords

nonlinear boundary value problemDuffing equationreproducing kernal Hilbert space method

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Biological fluid mechanics (76Z99)

Cites Work

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• A fast object-oriented MATLAB implementation of the reproducing kernel particle method
• The variational iteration method for exact solutions of Laplace equation
• On the variational iteration method and other iterative techniques for nonlinear differential equations
• A new modification of He's homotopy perturbation method for rapid convergence of nonlinear undamped oscillators
• Perturbation methods in applied mathematics
• Numerical differentiation of implicitly defined curves
• Homotopy perturbation method: a new nonlinear analytical technique
• Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
• An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillators
• The modified Broyden-variational method for solving nonlinear elliptic differential equations
• An efficient implicit Runge-Kutta method for second order systems
• Determination of limit cycle by He's parameter-expanding method for strongly nonlinear oscillators
• The extended homotopy perturbation method for the boundary layer flow due to a stretching sheet with partial slip
• Theory of Reproducing Kernels
• Analytic approach for the solution of the complex-valued strong non-linear differential equation of Duffing type

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