Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations
type: Item
instance of: scholarly article
title: Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations
zbMATH Open document ID: 1473.65112
author: Fu-Rong Lin
author: Qiu-Ya Wang
author: Xiao-Qing Jin
published in: Numerical Algorithms
publication date: 2021-05-31T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7352573
zbMATH Keywords: variable-order fractional derivative
zbMATH Keywords: CN-WSGD scheme
zbMATH Keywords: accuracy
zbMATH Keywords: stability
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: s11075-020-00980-z
OpenAlex ID: W3047704099
cites work: Generalized Lucas polynomial sequence approach for fractional differential equations
cites work: Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
cites work: Sixth-kind Chebyshev spectral approach for solving fractional differential equations
cites work: Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation
cites work: A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
cites work: A high order numerical scheme for variable order fractional ordinary differential equation
cites work: A compact finite difference scheme for variable order subdiffusion equation
cites work: Mechanics with variable-order differential operators
cites work: Solving a multi-order fractional differential equation using Adomian decomposition
cites work: Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: High-order numerical algorithms for Riesz derivatives via constructing new generating functions
cites work: Spectral technique for solving variable‐order fractional Volterra integro‐differential equations
cites work: Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
cites work: Q5814164
cites work: Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation
cites work: Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline
cites work: Variational formulation of problems involving fractional order differential operators
cites work: A circulant preconditioner for fractional diffusion equations
cites work: High order schemes for the tempered fractional diffusion equations
cites work: The accuracy and stability of CN-WSGD schemes for space fractional diffusion equation
cites work: Preconditioned iterative methods for fractional diffusion equation
cites work: Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
cites work: Efficient preconditioner of one-sided space fractional diffusion equation
cites work: Variable order and distributed order fractional operators
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Q3141902
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Fractional Generalized Random Fields of Variable Order
cites work: On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem
cites work: Q3141895
cites work: Numerical techniques for the variable-order time fractional diffusion equation
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
cites work: Second-order approximations for variable order fractional derivatives: algorithms and applications
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
DOI: 10.1007/S11075-020-00980-Z
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description: scientific article; zbMATH DE number 7352573