High-order algorithms for Riesz derivative and their applications. IV.

DOI10.1515/FCA-2019-0080zbMath1434.65112OpenAlexW4205932896WikidataQ126333667 ScholiaQ126333667MaRDI QIDQ2173492

Changpin Li, Heng-Fei Ding

Publication date: 23 April 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0080

zbMATH Keywords

finite difference methodRiesz derivativefractional advection-dispersion equation4th-order numerical differential formula

Mathematics Subject Classification ID

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 differentiation (65D25) Fractional partial differential equations (35R11)

Related Items (6)

Finite difference schemes for time-space fractional diffusion equations in one- and two-dimensions ⋮ The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application ⋮ High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation ⋮ Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation ⋮ Difference between Riesz derivative and fractional Laplacian on the proper subset of \(\mathbb{R}\) ⋮ On numerical methods for solving Riesz space fractional advection-dispersion equations based on spline interpolants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-order algorithms for Riesz derivative and their applications. III
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
• A new difference scheme for the time fractional diffusion equation
• High-order algorithms for Riesz derivative and their applications. II
• Reading Bombelli
• Automatic differentiation: techniques and applications
• Error estimates of high-order numerical methods for solving time fractional partial differential equations
• High-order algorithms for Riesz derivative and their applications. I.
• Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source
• Modeling and computing of fractional convection equation
• On Riesz derivative
• Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations
• A numerical study of the homogeneous elliptic equation with fractional boundary conditions
• Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
• Numerical methods for fractional partial differential equations
• Regularity of the solution to Riesz-type fractional differential equation
• Fractional differentiation matrices with applications
• A class of second order difference approximations for solving space fractional diffusion equations
• Extrapolation to the Limit for Numerical Fractional Differentiation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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