Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains
DOI10.1007/s11587-021-00650-9zbMath1516.65055OpenAlexW3207529658MaRDI QIDQ6044835
No author found.
Publication date: 22 May 2023
Published in: Ricerche di Matematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11587-021-00650-9
collocation methoderror analysisBessel functionsCaputo fractional derivativefractional-order Bagley-Torvik equation
Fractional derivatives and integrals (26A33) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
- Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence
- A numerical approximation for Volterra's population growth model with fractional order
- Fractional high order methods for the nonlinear fractional ordinary differential equation
- Generalized Taylor's formula
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation
- Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods
- Application of Müntz-Legendre polynomials for solving the Bagley-Torvik equation in a large interval
- Generalized Lucas polynomial sequence approach for fractional differential equations
- Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
- A computational algorithm for simulating fractional order relaxation-oscillation equation
- Numerical approximations to the nonlinear fractional-order logistic population model with fractional-order Bessel and Legendre bases
- A comparative study of two Legendre-collocation schemes applied to fractional logistic equation
- An efficient approximation technique applied to a non-linear Lane-Emden pantograph delay differential model
- An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation
- Approximate solution of Bagley-Torvik equations with variable coefficients and three-point boundary-value conditions
- Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
- A collocation method for numerical solutions of fractional-order logistic population model
- 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
- Uniqueness and approximation of solution for fractional Bagley–Torvik equations with variable coefficients
- Local discontinuous Galerkin approximations to fractional Bagley‐Torvik equation
- A New Class of Orthogonal Polynomials: The Bessel Polynomials
This page was built for publication: Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains
