High order finite difference methods on non-uniform meshes for space fractional operators

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

(2015) Ercília Sousa et al.   APPLIED NUMERICAL MATHEMATICS

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

(2015) WenYi Tian et al.   MATHEMATICS OF COMPUTATION

High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy Flights

(2015) Minghua Chen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives

(2014) Lijing Zhao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations

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

A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation

(2013) Minghua Chen et al.   APPLIED MATHEMATICAL MODELLING

Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations

(2012) Han Zhou et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

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

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING