Using differentiation matrices for pseudospectral method solve Duffing Oscillator

DOI10.22436/jnsa.011.12.04zbMath1449.65168OpenAlexW2889685660WikidataQ129240360 ScholiaQ129240360MaRDI QIDQ5225367

Le Anh Nhat

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.12.04

zbMATH Keywords

Duffing oscillatorpseudospectral methodsChebyshev pointsDuffing systemdifferential matrix

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Best approximation, Chebyshev systems (41A50) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Pseudospectral method for second-order autonomous nonlinear differential equations

Uses Software

• Mathematica

Cites Work

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• Numerical solution of Duffing equation by using an improved Taylor matrix method
• A Chebyshev collocation algorithm for the solution of advection-diffusion equations
• Numerical solution of the controlled Duffing oscillator by the pseudospectral method
• Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method
• A postverification method for solving forced Duffing oscillator problems without prescribed periods
• Accuracy and Speed in Computing the Chebyshev Collocation Derivative
• A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms

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