A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations

DOI10.1186/s13662-020-03017-wzbMath1487.65164OpenAlexW3109340251MaRDI QIDQ2144129

Mingfa Fei, Guoyu Zhang, Nan Wang, Cheng-Ming Huang

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-03017-w

zbMATH Keywords

conservation lawfractional Schrödinger equationunconditional convergencespectral accuracyLegendre spectral method

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

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