Approximate solution for nonlinear oscillator with cubic and quintic nonlinearities

DOI10.1142/9789814704830_0010zbMATH Open1344.65075OpenAlexW2414041687MaRDI QIDQ2820232

Jitendra Singh

Publication date: 15 September 2016

Published in: Recent Advances in Mathematics, Statistics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814704830_0010

zbMATH Keywords

fourth-order Runge-Kutta methodDuffing equationdifferential transform methodAdomian polynomialPade approximation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)

Related Items (4)

``Quintication method to obtain approximate analytical solutions of non-linear oscillators ⋮ Accurate solutions of conservative nonlinear oscillators by the enhanced cubication method ⋮ Closed-form exact solutions for the unforced quintic nonlinear oscillator ⋮ A FAST AND SIMPLE IMPLEMENTATION OF CHUA'S OSCILLATOR WITH CUBIC-LIKE NONLINEARITY

Recommendations

• Title not available (Why is that?) 👍 👎
• Comparative solution of nonlinear quintic cubic oscillator using modified homotopy perturbation method 👍 👎
• ``Quintication method to obtain approximate analytical solutions of non-linear oscillators 👍 👎
• Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions 👍 👎
• Closed-form exact solutions for the unforced quintic nonlinear oscillator 👍 👎
• Analytic approximate solution for a nonlinear oscillator equation 👍 👎
• A new approximate solution for a generalized nonlinear oscillator 👍 👎
• Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities 👍 👎
• Constructing approximate stationary solutions to the oscillator equation with cubic nonlinearity and monoharmonic perturbation 👍 👎
• Exact solution of a quadratic nonlinear oscillator 👍 👎

This page was built for publication: Approximate solution for nonlinear oscillator with cubic and quintic nonlinearities

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2820232)