The discontinuous Galerkin finite element approximation of the multi-order fractional initial problems
type: Item
instance of: scholarly article
title: The discontinuous Galerkin finite element approximation of the multi-order fractional initial problems
zbMATH Open document ID: 1428.82081
author: Yunying Zheng
author: Zhengang Zhao
author: Yanfen Cui
published in: Applied Mathematics and Computation
publication date: 2019-11-26T00:00:00Z
Mathematics Subject Classification ID: 82M10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 7136805
zbMATH Keywords: multi-order fractional differential equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: discontinuous Galerkin finite element method
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.amc.2018.11.057
OpenAlex ID: W2904552076
cites work: V-Langevin equations, continuous time random walks and fractional diffusion
cites work: Langevin equation with two fractional orders
cites work: A study of nonlinear Langevin equation involving two fractional orders in different intervals
cites work: Stability of viscoelastic control systems
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: On infinite order differential operators in fractional viscoelasticity
cites work: Detailed error analysis for a fractional Adams method
cites work: Fractional high order methods for the nonlinear fractional ordinary differential equation
cites work: A general finite element formulation for fractional variational problems
cites work: Adaptive discretization of fractional order viscoelasticity using sparse time history
cites work: Fractional differentiation matrices with applications
cites work: Numerical studies for a multi-order fractional differential equation
cites work: On the convergence of a new reliable algorithm for solving multi-order fractional differential equations
cites work: Numerical methods for multi-term fractional (arbitrary) orders differential equations
cites work: Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions
cites work: Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation
cites work: High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
cites work: Discontinuous Galerkin Methods for Ordinary Differential Equations
cites work: An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
cites work: hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
cites work: Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
cites work: Q5416302
cites work: The discontinuous Galerkin finite element method for fractional cable equation
cites work: Variational formulation for the stationary fractional advection dispersion equation
Wikidata QID: Q128705905
DOI: 10.1016/J.AMC.2018.11.057
description: scientific article; zbMATH DE number 7136805