The accuracy and stability of CN-WSGD schemes for space fractional diffusion equation

DOI10.1016/j.cam.2019.06.008zbMath1503.65176OpenAlexW2955219381WikidataQ127718378 ScholiaQ127718378MaRDI QIDQ2315919

Yanyan Li

Publication date: 26 July 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.06.008

zbMATH Keywords

stabilityaccuracyRiemann-Liouville fractional derivativefractional differential equationCN-WSGD scheme

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) Fractional partial differential equations (35R11)

Related Items (12)

A class of unconditioned stable 4-point WSGD schemes and fast iteration methods for space fractional diffusion equations ⋮ DNT preconditioner for one-sided space fractional diffusion equations ⋮ Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation ⋮ A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients ⋮ Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations ⋮ The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application ⋮ Fast solution methods for Riesz space fractional diffusion equations with non-separable coefficients ⋮ IRK-WSGD methods for space fractional diffusion equations ⋮ Stability and convergence of finite difference method for two-sided space-fractional diffusion equations ⋮ Banded preconditioners for Riesz space fractional diffusion equations ⋮ Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations ⋮ Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• High order schemes for the tempered fractional diffusion equations
• Preconditioned iterative methods for fractional diffusion equation
• Multigrid method for fractional diffusion equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Waiting-times and returns in high-frequency financial data: An empirical study
• Finite difference approximations for fractional advection-dispersion flow equations
• A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
• A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
• A second-order accurate numerical approximation for the fractional diffusion equation
• Finite difference approximations for two-sided space-fractional partial differential equations
• Wellposedness of Variable-Coefficient Conservative Fractional Elliptic Differential Equations
• A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
• Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
• Crank--Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients
• A class of second order difference approximations for solving space fractional diffusion equations
• Variational formulation for the stationary fractional advection dispersion equation

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