A fast method for variable-order space-fractional diffusion equations

An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes

(2020) Xiangcheng Zheng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

(2019) HongGuang Sun et al.   Fractional Calculus and Applied Analysis

Wellposedness and regularity of the variable-order time-fractional diffusion equations

(2019) Hong Wang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Block structured preconditioners in tensor form for the all–at–once solution of a finite volume fractional diffusion equation

(2019) D. Bertaccini et al.   APPLIED MATHEMATICS LETTERS

Wellposedness and regularity of a nonlinear variable-order fractional wave equation

(2019) Xiangcheng Zheng et al.   APPLIED MATHEMATICS LETTERS

Efficient preconditioner of one-sided space fractional diffusion equation

(2018) Xue-Lei Lin et al.   BIT NUMERICAL MATHEMATICS

Limited Memory Block Preconditioners for Fast Solution of Fractional Partial Differential Equations

(2018) Daniele Bertaccini et al.   JOURNAL OF SCIENTIFIC COMPUTING

Regularity of the solution to 1-D fractional order diffusion equations

(2018) V. J. Ervin et al.   MATHEMATICS OF COMPUTATION

On Time-Fractional Diffusion Equations with Space-Dependent Variable Order

(2018) Yavar Kian et al.   ANNALES HENRI POINCARE

A mixed-type Galerkin variational formulation and fast algorithms for variable-coefficient fractional diffusion equations

(2017) Yongshan Li et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations

(2017) Zhong-Zhi Bai et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations

(2017) Xue-lei Lin et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Preconditioned iterative methods for space-time fractional advection-diffusion equations

(2016) Zhi Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations

(2016) Jianyu Pan et al.   NUMERICAL ALGORITHMS

Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

(2015) Xiao-Qing Jin et al.   Communications in Computational Physics

A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations

(2015) Rihuan Ke et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

(2015) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

(2013) S. Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Preconditioned iterative methods for fractional diffusion equation

(2013) Fu-Rong Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations

(2012) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

(2011) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A direct O(Nlog2N) finite difference method for fractional diffusion equations

(2010) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Variable-order fractional differential operators in anomalous diffusion modeling

(2009) HongGuang Sun et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS