A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation

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

(2020) Jinhong Jia et al.   NUMERICAL ALGORITHMS

A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients

(2020) Xian‐Ming Gu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis

(2020) Jinhong Jia et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations

(2019) Pingfei Dai et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients

(2018) Huan-Yan Jian et al.   Advances in Difference Equations

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

Fast algorithms for high-order numerical methods for space-fractional diffusion equations

(2016) Siu-Long Lei et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Spectral analysis and structure preserving preconditioners for fractional diffusion equations

(2016) Marco Donatelli et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative

(2015) Ercília Sousa et al.   APPLIED NUMERICAL MATHEMATICS

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

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

A fourth-order approximation of fractional derivatives with its applications

(2015) Zhao-peng Hao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast Numerical Contour Integral Method for Fractional Diffusion Equations

(2015) Hong-Kui Pang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A class of second order difference approximations for solving space fractional diffusion equations

(2015) WenYi Tian et al.   MATHEMATICS OF COMPUTATION

Variational formulation of problems involving fractional order differential operators

(2015) Bangti Jin et al.   MATHEMATICS OF COMPUTATION

Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations

(2014) Minghua Chen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations

(2014) Jianyu Pan et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A circulant preconditioner for fractional diffusion equations

(2013) Siu-Long Lei et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Multigrid method for fractional diffusion equations

(2011) Hong-Kui Pang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

(2011) Cem Çelik et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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