Septic spline function method for nonlinear Schrödinger equations

DOI10.1080/00036811.2014.890709zbMath1309.65115OpenAlexW2029172333MaRDI QIDQ5175341

Bin Lin

Publication date: 20 February 2015

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

Full work available at URL: https://doi.org/10.1080/00036811.2014.890709

zbMATH Keywords

stabilitycollocation methodconserved quantitiestruncation errornumerical resultvon Neumann techniquesoliton wavesnonlinearity Schrödinger equationseptic B-spline interpolation function

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Smooth quintic spline approximation for nonlinear Schrödinger equations with variable coefficients in one and two dimensions ⋮ Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation

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