A higher order numerical scheme for solving fractional Bagley‐Torvik equation

DOI10.1002/mma.7849zbMath1527.65055OpenAlexW3207158204MaRDI QIDQ6179791

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7849

zbMATH Keywords

numerical solution discrete spline fractional Bagley-Torvik equation weighted shifted Grünwald-Letnikov approximation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

Unnamed Item
Unnamed Item
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
The Neumann problem for the generalized Bagley-Torvik fractional differential equation
Deficient discrete cubic spline solution for a system of second order boundary value problems
On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
Error estimates for discrete spline interpolation: Quintic and biquintic splines
The use of cubic splines in the numerical solution of fractional differential equations
Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence
Quadratic spline solution for boundary value problem of fractional order
General solution of the Bagley-Torvik equation with fractional-order derivative
A fourth-order approximation of fractional derivatives with its applications
Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
A high-order compact finite difference scheme for the fractional sub-diffusion equation
Analytical solution of fractionally damped beam by Adomian decomposition method
A fractional differential equation for a MEMS viscometer used in the oil industry
The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
Bounds for the solution of a second order differential equation with mixed boundary conditions
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods
Discrete spline methods for solving two point fractional Bagley-Torvik equation
New modified Adomian decomposition recursion schemes for solving certain types of nonlinear fractional two-point boundary value problems
Numerical solution of the Bagley-Torvik equation.
Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
Homotopy perturbation technique
Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads
A gWSGL numerical scheme for generalized fractional sub-diffusion problems
On periodic discrete spline interpolation: quintic and biquintic cases
An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation
A second-order accurate numerical approximation for the fractional diffusion equation
High order accuracy nonpolynomial spline solutions for \(2\mu \)th order two point boundary value problems
Solution of fractional differential equations by using differential transform method
Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
Discrete cubic spline method for second-order boundary value problems
An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method
Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
Fractional calculus - A different approach to the analysis of viscoelastically damped structures
Fractional calculus in the transient analysis of viscoelastically damped structures
Discrete cubic spline interpolation
An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
Numerical solution of the Bagley–Torvik equation by the Bessel collocation method
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function
Discrete Splines via Mathematical Programming
Analysis of fractional differential equations

This page was built for publication: A higher order numerical scheme for solving fractional Bagley‐Torvik equation