A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations

DOI10.1080/00207160.2018.1563687zbMath1499.65442OpenAlexW2907172426MaRDI QIDQ5031756

Ying Wang, Liquan Mei

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2018.1563687

zbMATH Keywords

Crank-Nicolson methodspectral accuracyLegendre spectral Galerkin methodcoupled nonlinear space-fractional Schrödinger equationsmass and energy conservation laws

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations ⋮ Numerical treatments of the nonlinear coupled time‐fractional Schrödinger equations ⋮ Dissipation-preserving Galerkin-Legendre spectral methods for two-dimensional fractional nonlinear wave equations ⋮ Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations ⋮ A split-step Fourier pseudo-spectral method for solving the space fractional coupled nonlinear Schrödinger equations ⋮ Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation ⋮ ON THE NUMERICAL SIMULATION OF TIME-SPACE FRACTIONAL COUPLED NONLINEAR SCHRÖDINGER EQUATIONS UTILIZING WENDLAND’S COMPACTLY SUPPORTED FUNCTION COLLOCATION METHOD

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