On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by the Local Discontinuous Galerkin Method

A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations

(2018) Tarek Aboelenen   Communications in Nonlinear Science and Numerical Simulation

Existence of the global solution for fractional logarithmic Schrödinger equation

(2018) Hongwei Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity

(2017) Alex H. Ardila   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

(2016) Maohua Ran et al.   Communications in Nonlinear Science and Numerical Simulation

Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions

(2016) Pengde Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Galerkin finite element method for nonlinear fractional Schrödinger equations

(2016) Meng Li et al.   NUMERICAL ALGORITHMS

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

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

Fractional logarithmic Schrödinger equations

(2015) Pietro d'Avenia et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Numerical study of fractional nonlinear Schrodinger equations

(2014) C. Klein et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

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

Local Discontinuous Galerkin methods for fractional diffusion equations

(2013) W.H. Deng et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

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

A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system

(2012) Leilei Wei et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

(2012) Yan Xu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS