Numerical solution of fraction Bagley-Torvik boundary value problem based on Chebyshev collocation method

DOI10.1007/s40819-019-0653-8zbMath1462.65095OpenAlexW2946177710MaRDI QIDQ2001763

Sushil Kumar, Vijay Saw

Publication date: 11 July 2019

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-019-0653-8

zbMATH Keywords

convergence analysiscollocation methodChebyshev polynomials of the first kindfractional Bagley-Torvik equation

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) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fractional ordinary differential equations (34A08)

Related Items (3)

Application of Müntz orthogonal functions on the solution of the fractional Bagley-Torvik equation using collocation method with error stimate ⋮ Numerical solutions of the Bagley-Torvik equation by using generalized functions with fractional powers of Laguerre polynomials ⋮ Numerical solution of a fractional-order bagley-torvik equation by quadratic finite element method

Cites Work

• Unnamed Item
• Unnamed Item
• On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
• A numerical method for solving boundary value problems for fractional differential equations
• The use of cubic splines in the numerical solution of fractional differential equations
• Quadratic spline solution for boundary value problem of fractional order
• General solution of the Bagley-Torvik equation with fractional-order derivative
• On the numerical solutions for the fractional diffusion equation
• A collocation-shooting method for solving fractional boundary value problems
• Application of He's variational iteration method to solve semidifferential equations of \(n\)th order
• The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
• Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
• Solving two-point boundary value problems using combined homotopy perturbation method and Green's function method
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• The existence of positive solution to three-point singular boundary value problem of fractional differential equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Discrete spline methods for solving two point fractional Bagley-Torvik equation
• A suggestion of fractional-order controller for flexible spacecraft attitude control
• Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
• Exact and discretized stability of the Bagley-Torvik equation
• On necessary conditions for a class of nondifferentiable minimax fractional programming
• The transversal creeping vibrations of a nonhomogeneous beam with fractional derivative order constitutive relation
• Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
• Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials

This page was built for publication: Numerical solution of fraction Bagley-Torvik boundary value problem based on Chebyshev collocation method