Numerical solution of a fractional-order bagley-torvik equation by quadratic finite element method
DOI10.1007/s12190-020-01440-6OpenAlexW3092491716MaRDI QIDQ2053224
Afroza Shirin, Md. Kamrujjaman, Hazrat Ali
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01440-6
finite element methoderror estimationBagley-Torvik equationquadratic shape functionfractional-order BVPs
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
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Cites Work
- 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
- 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
- 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
- The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A fractional differential equation for a MEMS viscometer used in the oil industry
- 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
- A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations
- Discrete spline methods for solving two point fractional Bagley-Torvik equation
- Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators
- Numerical solution of the Bagley-Torvik equation.
- Numerical solution of fraction Bagley-Torvik boundary value problem based on Chebyshev collocation method
- Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley-Torvik equation
- Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach
- 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
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- Fractional calculus in the transient analysis of viscoelastically damped structures
- On fractional calculus and fractional multipoles in electromagnetism
- Numerical solution of the Bagley–Torvik equation by the Bessel collocation method
- Variational formulation for the stationary fractional advection dispersion equation
- Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames
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