Convergence analysis of a fast second‐order time‐stepping numerical method for two‐dimensional nonlinear time–space fractional Schrödinger equation
DOI10.1002/num.22907OpenAlexW4294591196WikidataQ114235120 ScholiaQ114235120MaRDI QIDQ6090439
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Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22907
convergence analysisfast methodtemporal-spatial error splitting argumentgeneralized discrete Gronwall inequalitytwo-dimensional nonlinear time-space fractional Schrödinger equation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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