Smooth quintic spline approximation for nonlinear Schrödinger equations with variable coefficients in one and two dimensions

DOI10.1016/j.chaos.2018.01.006zbMath1380.65031OpenAlexW2783074567MaRDI QIDQ1697597

Reza Mohammadi

Publication date: 20 February 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.01.006

zbMATH Keywords

stabilityconvergenceSchrödinger equationvariable coefficientsmass and energy conservationsquintic polynomial spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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)

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