FAST SECOND-ORDER ACCURATE DIFFERENCE SCHEMES FOR TIME DISTRIBUTED-ORDER AND RIESZ SPACE FRACTIONAL DIFFUSION EQUATIONS
DOI10.11948/2156-907X.20180247zbMath1468.65175arXiv1806.10320MaRDI QIDQ5859404
Yong-Liang Zhao, Huan-Yan Jian, Xi-Le Zhao, Ting-Zhu Huang
Publication date: 16 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.10320
Toeplitz matrixKrylov subspace methodcirculant preconditionerdistributed-order equationmulti-term fractional diffusion
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11)
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Cites Work
- An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation
- Numerical solution of distributed order fractional differential equations
- A new difference scheme for the time fractional diffusion equation
- A circulant preconditioner for fractional diffusion equations
- Strang-type preconditioners for solving fractional diffusion equations by boundary value methods
- Finite element approximation for a modified anomalous subdiffusion equation
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- Higher order finite difference method for the reaction and anomalous-diffusion equation
- A spectral framework for fractional variational problems based on fractional Jacobi functions
- A Legendre collocation method for distributed-order fractional optimal control problems
- The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
- Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
- A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- On \(k\)-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Some high-order difference schemes for the distributed-order differential equations
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
- Distributed-order fractional diffusions on bounded domains
- Distributed order calculus and equations of ultraslow diffusion
- Fractional diffusion and wave equations
- Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
- Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space
- Multilevel Circulant Preconditioner for High-Dimensional Fractional Diffusion Equations
- Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions
- An Introduction to Iterative Toeplitz Solvers
- Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains
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