On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
DOI10.1186/s13662-019-2353-4zbMath1487.65126OpenAlexW2979066540MaRDI QIDQ2141941
Mu-Zheng Zhu, Ya-E Qi, Guo-Feng Zhang
Publication date: 25 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2353-4
Toeplitzfractional diffusion equationscirculant preconditionersingle-step Hermitian and skew-Hermitian splittingpreconditioned conjugate gradient (PCG) method
Fractional derivatives and integrals (26A33) 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) Iterative numerical methods for linear systems (65F10) Fractional partial differential equations (35R11)
Related Items (4)
Cites Work
- Unnamed Item
- New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
- A circulant preconditioner for fractional diffusion equations
- Circulant preconditioned iterations for fractional diffusion equations based on Hermitian and skew-Hermitian splittings
- An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- Implicit finite difference approximation for time fractional diffusion equations
- Existence of almost periodic solution for neutral Nicholson blowflies model
- The Nehari manifold for a boundary value problem involving Riemann-Liouville fractional derivative
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Finite difference approximations for fractional advection-dispersion flow equations
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Variable-order fractional description of compression deformation of amorphous glassy polymers
- Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach
- An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
- A single-step HSS method for non-Hermitian positive definite linear systems
- A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
- A radial basis functions method for fractional diffusion equations
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Finite difference methods for two-dimensional fractional dispersion equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- A Proposal for Toeplitz Matrix Calculations
- An Optimal Circulant Preconditioner for Toeplitz Systems
- Conjugate Gradient Methods for Toeplitz Systems
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
- An Introduction to Iterative Toeplitz Solvers
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