Homotopy perturbation method with three expansions for Helmholtz-Fangzhu oscillator

DOI10.1142/S0217979221502441zbMath1494.34075OpenAlexW3198065173MaRDI QIDQ5068264

No author found.

Publication date: 6 April 2022

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

Full work available at URL: https://doi.org/10.1142/s0217979221502441

zbMATH Keywords

singular oscillatorToda oscillatorFangzhu oscillator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR ⋮ A novel approach for solving linear and nonlinear time-fractional Schrödinger equations ⋮ Analytical approximations to a generalized forced damped complex Duffing oscillator: multiple scales method and KBM approach ⋮ Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator ⋮ NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION ⋮ Optical solitary waves and soliton solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation ⋮ A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS

Cites Work

• Unnamed Item
• Homotopy perturbation method for Fangzhu oscillator
• An elementary introduction to the homotopy perturbation method
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation technique
• Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation
• Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• A new approach for modelling the damped Helmholtz oscillator: applications to plasma physics and electronic circuits

This page was built for publication: Homotopy perturbation method with three expansions for Helmholtz-Fangzhu oscillator