A banded preconditioning iteration method for time-space fractional advection-diffusion equations

DOI10.1155/2017/6961296zbMath1427.65221OpenAlexW2582538157WikidataQ59147734 ScholiaQ59147734MaRDI QIDQ1993056

Min-Li Zeng, Guo-Feng Zhang

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/6961296

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations

Uses Software

• ma2dfc

Cites Work

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• Preconditioned iterative methods for fractional diffusion equation
• A circulant preconditioner for fractional diffusion equations
• Multigrid method for fractional diffusion equations
• Compact finite difference method for the fractional diffusion equation
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• Finite difference approximations for a fractional advection diffusion problem
• Waiting-times and returns in high-frequency financial data: An empirical study
• 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
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations
• Finite difference approximations for two-sided space-fractional partial differential equations
• On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
• Circulant and skew-circulant splitting iteration for fractional advection–diffusion equations
• The Spectrum of a Family of Circulant Preconditioned Toeplitz Systems
• Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations
• Explicit Solutions of Linear Matrix Equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach