An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg–Landau equation

Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg–Landau equation

(2016) Alain Mvogo et al.   Communications in Nonlinear Science and Numerical Simulation

Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation

(2016) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An implicit midpoint difference scheme for the fractional Ginzburg–Landau equation

(2016) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

High-Order Algorithms for Riesz Derivative and their Applications (III)

(2016) Hengfei Ding et al.   Fractional Calculus and Applied Analysis

A fourth-order approximation of fractional derivatives with its applications

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

High-order algorithms for Riesz derivative and their applications (II)

(2015) Hengfei Ding et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

(2015) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Dynamics of the 3-D fractional complex Ginzburg–Landau equation

(2015) Hong Lu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

(2015) WenYi Tian et al.   MATHEMATICS OF COMPUTATION

Fractional Diffusion on Bounded Domains

(2015) Ozlem Defterli et al.   Fractional Calculus and Applied Analysis

Fourier spectral methods for fractional-in-space reaction-diffusion equations

(2014) Alfonso Bueno-Orovio et al.   BIT NUMERICAL MATHEMATICS

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

(2014) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation

(2014) Pengde Wang et al.   NUMERICAL ALGORITHMS

A three-level linearized compact difference scheme for the Ginzburg-Landau equation

(2014) Zhao-Peng Hao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Coupled fractional nonlinear differential equations and exact Jacobian elliptic solutions for exciton–phonon dynamics

(2014) Alain Mvogo et al.   PHYSICS LETTERS A

Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

(2014) Qinwu Xu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations

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

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

(2014) Xuan Zhao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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

On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions

(2012) Kay Kirkpatrick et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations

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

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

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

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

(2012) Qiang Du et al.   SIAM REVIEW

Well-posedness and dynamics for the fractional Ginzburg-Landau equation

(2011) Xueke Pu et al.   APPLICABLE ANALYSIS

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

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

Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation

(2010) Tingchun Wang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

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

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