A Galerkin FEM for Riesz space-fractional CNLS
DOI10.1186/s13662-019-2278-yzbMath1485.35415OpenAlexW2967284405WikidataQ127390123 ScholiaQ127390123MaRDI QIDQ2114347
Zongze Yang, Jun-Gang Wang, Zhan-Bin Yuan, Yu-Feng Nie, Xiaogang Zhu
Publication date: 15 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2278-y
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Uses Software
Cites Work
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- Maximum-norm error analysis of a difference scheme for the space fractional CNLS
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- The variational iteration method for solving Riesz fractional partial differential equations
- The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition
- On fractional Schrödinger equations in Sobolev spaces
- Riesz potential operators and inverses via fractional centred derivatives
- Finite difference approximations for a fractional advection diffusion problem
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional quantum mechanics and Lévy path integrals
- Schrödinger equations with fractional Laplacians
- Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
- Stability and convergence of the space fractional variable-order Schrödinger equation
- An efficient differential quadrature method for fractional advection-diffusion equation
- A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
- A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
- Finite difference approximations for fractional advection-dispersion flow equations
- Approximate solution to the time-space fractional cubic nonlinear Schrödinger equation
- On the accurate discretization of a highly nonlinear boundary value problem
- Differential quadrature method for space-fractional diffusion equations on 2D irregular domains
- Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation
- A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials
- Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
- Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
- Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation
- Implicit difference approximation for the two-dimensional space-time fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Weighted average finite difference methods for fractional diffusion equations
- Finite difference methods for two-dimensional fractional dispersion equation
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Riesz Riemann–Liouville difference on discrete domains
- Solving FDEs with Caputo‐Fabrizio derivative by operational matrix based on Genocchi polynomials
- The use of a Riesz fractional differential-based approach for texture enhancement in image processing
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- Collocation method for fractional quantum mechanics
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Finite difference method for time-space-fractional Schrödinger equation
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Numerical study of fractional nonlinear Schrödinger equations
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- The attractor of the dissipative coupled fractional Schrödinger equations
- Variational formulation for the stationary fractional advection dispersion equation
- The Propagation of Nonlinear Wave Envelopes
- A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions
- Fractional diffusion: probability distributions and random walk models
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