A fourth-order difference scheme for the fractional nonlinear Schrödinger equation with wave operator

DOI10.1080/00036811.2020.1829600zbMath1490.65159OpenAlexW3112493569MaRDI QIDQ5085535

Saiyan Zhang, Jiali Zeng, Dongdong He, Ke-jia Pan

Publication date: 27 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1829600

zbMATH Keywords

unconditional stabilitynonlinear Schrödinger equationwave operatorfractional Laplaciansemi-implicit difference 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) Fractional partial differential equations (35R11)

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