An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution

Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem

(2016) Natalia Kopteva et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

(2016) Zhiping Mao et al.   APPLIED NUMERICAL MATHEMATICS

A linearized high-order difference scheme for the fractional Ginzburg-Landau equation

(2016) Zhao-peng Hao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions

(2016) Wanrong Cao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Too much regularity may force too much uniqueness

(2016) Martin Stynes   Fractional Calculus and Applied Analysis

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

(2015) Lijing Zhao et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems

(2015) Bangti Jin et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A fourth-order approximation of fractional derivatives with its applications

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

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

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

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

Finite difference methods for the time fractional diffusion equation on non-uniform meshes

(2014) Ya-nan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Anomalous transport in the crowded world of biological cells

(2013) Felix Höfling et al.   REPORTS ON PROGRESS IN PHYSICS

A finite difference method with non-uniform timesteps for fractional diffusion equations

(2012) Santos B. Yuste et al.   COMPUTER PHYSICS COMMUNICATIONS

A second order explicit finite difference method for the fractional advection diffusion equation

(2012) Ercília Sousa   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

(2012) Hong Wang 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