A Fast Conservative Scheme for the Space Fractional Nonlinear Schrödinger Equation with Wave Operator

DOI10.4208/JMS.V54N4.21.06zbMath1488.65216OpenAlexW3174009476MaRDI QIDQ5017095

No author found.

Publication date: 17 December 2021

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v54n4.21.06

zbMATH Keywords

convergenceconservation lawsspace-fractional nonlinear Schrödinger equationsfast difference solver

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation ⋮ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator ⋮ Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations ⋮ Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation ⋮ A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation

This page was built for publication: A Fast Conservative Scheme for the Space Fractional Nonlinear Schrödinger Equation with Wave Operator