Combination of the variational iteration method and numerical algorithms for nonlinear problems

DOI10.1016/J.APM.2019.10.034zbMath1481.65114arXiv1904.11021OpenAlexW2985533557WikidataQ126792642 ScholiaQ126792642MaRDI QIDQ2174343

Xuechuan Wang, Qiuyi Xu, Satya N. Atluri

Publication date: 21 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11021

zbMATH Keywords

collocation methodnonlinear differential equationChebyshev polynomiallocal variational iteration method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (4)

Bifurcation analysis of stick-slip vibration in a 2-DOF nonlinear dynamical system with dry friction ⋮ A class of linearization-based collocation methods for initial value and boundary value engineering problems ⋮ Dynamical analysis of fractional oscillator system with cosine excitation utilizing the average method ⋮ Perturbed optical solitons with conformable time-space fractional Gerdjikov-Ivanov equation

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Cites Work

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• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Computational methods in engineering boundary value problems
• Fast parallel algorithms for short-range molecular dynamics
• The solution of the Blasius equation by the differential transformation method.
• Analytical methods in nonlinear oscillations. Approaches and applications
• A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics
• Laplace transform: making the variational iteration method easier
• Finite element model updating in structural dynamics
• A pair of van der Pol oscillators coupled by fractional derivatives
• Bifurcation \& chaos in nonlinear structural dynamics: novel \& highly efficient optimal-feedback accelerated Picard iteration algorithms
• Coupled Van der Pol oscillator with non-integer order connection
• The finite volume method in computational fluid dynamics. An advanced introduction with OpenFOAM and Matlab
• The Maximum Mass of Ideal White Dwarfs
• A new algorithm for solving differential equations of Lane-Emden type

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