Galerkin finite element method for nonlinear fractional Schrödinger equations

Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations

(2015) Weiping Bu 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

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

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

Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

(2014) Weiping Bu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

(2013) Akbar Mohebbi et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

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

Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

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

Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation

(2013) Xuehua Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method

(2013) K. Aruna et al.   NATIONAL ACADEMY SCIENCE LETTERS-INDIA

Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation

(2012) Leilei Wei et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Fractional Gagliardo–Nirenberg and Hardy inequalities under Lorentz norms

(2012) Hichem Hajaiej et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition

(2011) Jiaqian Hu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

(2011) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

(2009) Xianjuan Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

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

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS