On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation

DOI10.1016/j.camwa.2021.06.018OpenAlexW3183941700MaRDI QIDQ2047603

Yuezheng Gong, Dongdong Hu, Yu Shun Wang

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.06.018

zbMATH Keywords

convergencefast algorithmfractional nonlinear Schrödinger equationintegral fractional Laplacianstandard orthogonal projection methodstructure preserving scheme

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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The Hamiltonian structure and fast energy-preserving algorithms for the fractional Klein-Gordon equation, Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator

Uses Software

• LIMbook

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