ANALYTICAL APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS BY THE MODIFIED DECOMPOSITION METHOD

DOI10.1142/S0129183104006388zbMath1119.65356OpenAlexW1994324805MaRDI QIDQ4832372

Shaher Momani

Publication date: 4 January 2005

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183104006388

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Decomposition method for solving fractional Riccati differential equations ⋮ The multistage homotopy analysis method: application to a biochemical reaction model of fractional order ⋮ Solutions of nonlinear oscillators by the modified differential transform method ⋮ Variational iteration transform method for fractional differential equations with local fractional derivative ⋮ Iterative multistep reproducing kernel Hilbert space method for solving strongly nonlinear oscillators ⋮ The modified homotopy perturbation method for solving strongly nonlinear oscillators

Cites Work

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• A review of the decomposition method in applied mathematics
• Solution of physical problems by decomposition
• An aftertreatment technique for improving the accuracy of Adomian's decomposition method
• A modification of Adomian's solution for nonlinear oscillatory systems
• PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC PERTURBATION METHOD
• PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC LINDSTEDT–POINCARÉ METHOD
• Introduction to Non-Linear Mechanics. (AM-11)

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