Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation
DOI10.4208/eajam.110920.060121zbMath1475.65150OpenAlexW3164775354MaRDI QIDQ5014276
Longbin Wu, Qiang Ma, Xiao-Hua Ding
Publication date: 1 December 2021
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.110920.060121
convergenceconservation lawsexistence and uniquenessnonlinear fractional Schrödinger equationCrank-Nicolson Fourier collocation method
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- A second order finite difference-spectral method for space fractional diffusion equations
- Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms
- On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
- On the conservation of fractional nonlinear Schrödinger equation's invariants by the local discontinuous Galerkin method
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation
- A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system
- The inverse problem and the second order \(\theta\) scheme with finite element method used for 2D nonlinear space fractional Schrödinger equation
This page was built for publication: Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation