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

Probability Structure of Time Fractional Schrödinger Equation

(2016) A. Tofighi   ACTA PHYSICA POLONICA A

Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

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

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

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

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

Ground state solutions for nonlinear fractional Schrödinger equations in RN

(2013) Simone Secchi   JOURNAL OF MATHEMATICAL PHYSICS

On the generalized Apostol-type Frobenius-Euler polynomials

(2013) Burak Kurt et al.   Advances in Difference Equations

Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term

(2013) Fawang Liu et al.   Open Physics

Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D

(2013) Qiang Yu et al.   Open Physics

A computationally effective alternating direction method for the space and time fractional Bloch–Torrey equation in 3-D

(2012) Q. Yu et al.   APPLIED MATHEMATICS AND COMPUTATION

An implicit numerical method for the two-dimensional fractional percolation equation

(2012) S. Chen et al.   APPLIED MATHEMATICS AND COMPUTATION

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

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

Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations

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

An O(N log2N) alternating-direction finite difference method for two-dimensional fractional diffusion equations

(2011) Hong Wang 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

Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions

(2011) Qianqian Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Collocation method for fractional quantum mechanics

(2010) Paolo Amore et al.   JOURNAL OF MATHEMATICAL PHYSICS

Numerical approximations and solution techniques for the space-time Riesz–Caputo fractional advection-diffusion equation

(2010) Shujun Shen et al.   NUMERICAL ALGORITHMS

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

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

Riesz Fractional Derivatives and Fractional Dimensional Space

(2009) Sami I. Muslih et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

(2008) Boling Guo et al.   APPLIED MATHEMATICS AND COMPUTATION

The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation

(2008) S. Shen et al.   IMA JOURNAL OF APPLIED MATHEMATICS

An Intuitive Study of Fractional Derivative Modeling and Fractional Quantum in Soft Matter

(2008) Wen Chen   JOURNAL OF VIBRATION AND CONTROL

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

(2008) Hong-Lin Liao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Lévy processes and Schrödinger equation

(2008) Nicola Cufaro Petroni et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS