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

From MaRDI portal
Publication:349385

DOI10.1016/j.jcp.2014.04.047zbMath1349.65339OpenAlexW2072536983MaRDI QIDQ349385

Dongling Wang, Wei Yang, Ai-Guo Xiao

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.04.047



Related Items

Fourier spectral method on sparse grids for computing ground state of many-particle fractional Schrödinger equations, Numerical simulation for the two-dimensional and three-dimensional Riesz space fractional diffusion equations with delay and a nonlinear reaction term, A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations, The Hamiltonian structure and fast energy-preserving algorithms for the fractional Klein-Gordon equation, Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation, A medium-shifted splitting iteration method for a diagonal-plus-Toeplitz linear system from spatial fractional Schrödinger equations, Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation, A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations, Maximum-norm error analysis of a difference scheme for the space fractional CNLS, Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation, Fourth-order finite difference scheme and efficient algorithm for nonlinear fractional Schrödinger equations, A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations, High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations, A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations, An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations, Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation, Explicit high-order conservative exponential time differencing Runge-Kutta schemes for the two-dimensional nonlinear Schrödinger equation, Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations, Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations, High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach, Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation, A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives, Numerical approaches to simulation of multi-core fibers, Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations, A conservative difference scheme with optimal pointwise error estimates for two‐dimensional space fractional nonlinear Schrödinger equations, Symplectic‐preserving Fourier spectral scheme for space fractional<scp>Klein–Gordon–Schrödinger</scp>equations, Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation, Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation, Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation, A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach, The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations, Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation, On the L convergence of a conservative Fourier pseudo‐spectral method for the space fractional nonlinear Schrödinger equation, An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations, Two novel conservative exponential relaxation methods for the space-fractional nonlinear Schrödinger equation, A high-order structure-preserving difference scheme for generalized fractional Schrödinger equation with wave operator, Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations, A linearly implicit energy-preserving exponential time differencing scheme for the fractional nonlinear Schrödinger equation, Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation, An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs, A Fourier spectral method for the nonlinear coupled space fractional Klein‐Gordon‐Schrödinger equations, Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations, High-order schemes for the fractional coupled nonlinear Schrödinger equation, A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations, A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes, A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations, Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions, A high-order accurate wavelet method for solving Schrödinger equations with general nonlinearity, A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations, A split-step Fourier pseudo-spectral method for solving the space fractional coupled nonlinear Schrödinger equations, On Preconditioners Based on HSS for the Space Fractional CNLS Equations, Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation, On HSS-like iteration method for the space fractional coupled nonlinear Schrödinger equations, An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations, A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation, Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations, On partially inexact HSS iteration methods for the complex symmetric linear systems in space fractional CNLS equations, A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation, Galerkin finite element method for nonlinear fractional Schrödinger equations, Unnamed Item, Structure-preserving numerical methods for the fractional Schrödinger equation, Fourier spectral method for a class of nonlinear Schrödinger models, Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation, On a conservative Fourier spectral Galerkin method for cubic nonlinear Schrödinger equation with fractional Laplacian, A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations, Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation, An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations, Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions, A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator, Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation, A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations, An analysis of implicit conservative difference solver for fractional Klein-Gordon-Zakharov system, Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations, A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems, Symplectic scheme for the Schrödinger equation with fractional Laplacian, An efficient block Gauss-Seidel iteration method for the space fractional coupled nonlinear Schrödinger equations, An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation, An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation, Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation, An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation, Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation, A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations, A class of linearized energy-conserved finite difference schemes for nonlinear space-fractional Schrödinger equations, A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation, Improved error bounds of the Strang splitting method for the highly oscillatory fractional nonlinear Schrödinger equation, Energy preserving relaxation method for space-fractional nonlinear Schrödinger equation, High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs, A linear finite difference scheme for the two-dimensional nonlinear Schrödinger equation with fractional Laplacian, Spectral method and Bayesian parameter estimation for the space fractional coupled nonlinear Schrödinger equations, Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations, Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation, A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator, ON THE NUMERICAL SIMULATION OF TIME-SPACE FRACTIONAL COUPLED NONLINEAR SCHRÖDINGER EQUATIONS UTILIZING WENDLAND’S COMPACTLY SUPPORTED FUNCTION COLLOCATION METHOD, A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations



Cites Work