High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equation
From MaRDI portal
Publication:2672351
DOI10.1016/j.matcom.2022.03.008OpenAlexW4224000178WikidataQ113869161 ScholiaQ113869161MaRDI QIDQ2672351
Safar Irandoust-Pakchin, Iraj Fahimi-khalilabad, Somayeh Abdi-Mazraeh
Publication date: 8 June 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.03.008
convergence analysisstability propertiesfractional sub-diffusion equationfractional linear multistep methodbarycentric polynomials
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- High-order algorithms for Riesz derivative and their applications. II
- New numerical methods for the Riesz space fractional partial differential equations
- High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
- High-order finite element methods for time-fractional partial differential equations
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- Numerical approximations for fractional diffusion equations via splines
- Numerical treatment of fractional heat equations
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Finite difference approximations for a fractional advection diffusion problem
- Time fractional advection-dispersion equation
- Higher order finite difference method for the reaction and anomalous-diffusion equation
- Fractional order generalized electro-magneto-thermo-elasticity
- A high-order fully conservative block-centered finite difference method for the time-fractional advection-dispersion equation
- High-order numerical algorithms for Riesz derivatives via constructing new generating functions
- Finite difference approximations for fractional advection-dispersion flow equations
- Fractional characteristic times and dissipated energy in fractional linear viscoelasticity
- Analytical and numerical solutions of electrical circuits described by fractional derivatives
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: mathematical analysis
- Construction of new generating function based on linear barycentric rational interpolation for numerical solution of fractional differential equations
- A stable explicitly solvable numerical method for the Riesz fractional advection-dispersion equations
- On \(k\)-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Models of space-fractional diffusion: a critical review
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis
- Adaptive linear barycentric rational finite differences method for stiff ODEs
- Barycentric rational interpolation with no poles and high rates of approximation
- Discretized Fractional Calculus
- Fractional diffusion and wave equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- The fractional diffusion equation
- The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations
- The J.C.P. miller recurrence for exponentiating a polynomial, and its q- analog
- The Finite Difference Methods for Fractional Ordinary Differential Equations
- Fractional kinetic equations: solutions and applications
- Fractional differentiation matrices with applications
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Fractional variational calculus in terms of Riesz fractional derivatives
- The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations
This page was built for publication: High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equation