A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation
DOI10.1016/j.cnsns.2024.107839MaRDI QIDQ6203093
Lingzhi Qian, Xinlong Feng, Yuting Zhang
Publication date: 27 February 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Riesz fractional derivativeoptimal error estimateCaputo fractional derivativetime-space fractional Schrödinger equation\(L2\)-\(1_\Sigma\) formula
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) Extrapolation to the limit, deferred corrections (65B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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