A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions

A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities

(2017) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Efficient spectral–Galerkin methods for fractional partial differential equations with variable coefficients

(2016) Zhiping Mao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Second-order approximations for variable order fractional derivatives: Algorithms and applications

(2015) Xuan Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions

(2015) Jinhong Jia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A preconditioned fast finite volume scheme for a fractional differential equation discretized on a locally refined composite mesh

(2015) Jinhong Jia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Generalized Jacobi functions and their applications to fractional differential equations

(2015) Sheng Chen et al.   MATHEMATICS OF COMPUTATION

A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in $\mathbb{R}^2$

(2015) Ning Du et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Reflected spectrally negative stable processes and their governing equations

(2015) Boris Baeumer et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation

(2013) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A circulant preconditioner for fractional diffusion equations

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

Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations

(2013) Hong Wang 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

A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

(2012) Hong Wang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Compact alternating direction implicit method for two-dimensional time fractional diffusion equation

(2011) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

Fractional differential models for anomalous diffusion

(2010) HongGuang Sun et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A note on the finite element method for the space-fractional advection diffusion equation

(2009) Yunying Zheng et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Repulsive Casimir force from fractional Neumann boundary conditions

(2009) S.C. Lim et al.   PHYSICS LETTERS B

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

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS