Numerical solution of the Bagley-Torvik equation using Laguerre polynomials

DOI10.1007/s40324-019-00204-yzbMath1445.65025OpenAlexW2972883867WikidataQ127240639 ScholiaQ127240639MaRDI QIDQ2301176

Tianfu Ji, Jian-Hua Hou

Publication date: 28 February 2020

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-019-00204-y

zbMATH Keywords

Laplace transformLaguerre polynomialCaputo derivativeBagley-Torvik equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items (5)

Vieta-Lucas polynomials for solving a fractional-order mathematical physics model ⋮ Numerical solution of the Bagley-Torvik equation using shifted Chebyshev operational matrix ⋮ A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley-Torvik differential equation ⋮ Application of Müntz orthogonal functions on the solution of the fractional Bagley-Torvik equation using collocation method with error stimate ⋮ Generalized Bernoulli-Laguerre polynomials: applications in coupled nonlinear system of variable-order fractional PDEs

Uses Software

• ReLaTIve
• ma2dfc

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment of a well-posed Chebyshev tau method for Bagley-Torvik equation with high-order of accuracy
• On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
• Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
• Recent history of fractional calculus
• 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
• More on the Weeks method for the numerical inversion of the Laplace transform
• An operational method for solving fractional differential equations with the Caputo derivatives
• A quadrature method for numerical solutions of fractional differential equations
• The operational matrix of fractional integration for shifted Chebyshev polynomials
• Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method
• Numerical solution of the Bagley-Torvik equation.
• ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion
• An efficient operational matrix method for the numerical solutions of the fractional Bagley-Torvik equation using wavelets
• An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation
• Computation of the inverse Laplace transform based on a collocation method which uses only real values
• 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
• Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform
• Numerical Inversion of Laplace Transforms Using Laguerre Functions

This page was built for publication: Numerical solution of the Bagley-Torvik equation using Laguerre polynomials