Numerical solution of the Bagley-Torvik equation using shifted Chebyshev operational matrix

DOI10.1186/s13662-020-03110-0zbMath1487.65103OpenAlexW3099140416MaRDI QIDQ2144118

Changqing Yang, Tianfu Ji, Jian-Hua Hou

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-03110-0

zbMATH Keywords

collocation methodChebyshev polynomialsBagley-Torvik equationLiouville-Caputo derivative

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Fractional ordinary differential equations (34A08)

Related Items (1)

Application of Müntz orthogonal functions on the solution of the fractional Bagley-Torvik equation using collocation method with error stimate

Cites Work

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• Numerical treatment of a well-posed Chebyshev tau method for Bagley-Torvik equation with high-order of accuracy
• A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations
• On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
• A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
• A collocation-shooting method for solving fractional boundary value problems
• The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
• Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• An operational method for solving fractional differential equations with the Caputo derivatives
• A reliable numerical algorithm for the fractional vibration equation
• A quadrature method for numerical solutions of fractional differential equations
• The operational matrix of fractional integration for shifted Chebyshev polynomials
• Numerical method based on Galerkin approximation for the fractional advection-dispersion equation
• Detailed error analysis for a fractional Adams method
• Numerical solution of the Bagley-Torvik equation.
• An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus
• Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients
• Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads
• Numerical solution of the Bagley-Torvik equation using Laguerre polynomials
• An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation
• A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations
• Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
• Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Numerical solution of the Bagley–Torvik equation by the Bessel collocation method
• Time-Fractional Order Biological Systems with Uncertain Parameters
• Spectral Methods
• Numerical solution the fractional Bagley–Torvik equation arising in fluid mechanics

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