Parametric spline schemes for the coupled nonlinear Schrödinger equation

Bin Lin

Applied Mathematics and Computation, 2019, vol. 360, issue C, 58-69

Abstract: In this study, the parametric cubic spline scheme is implemented to find the approximate solution of the coupled nonlinear Schrödinger equations. This scheme is based on the Crank–Nicolson method in time and parametric cubic spline functions in space. The error analysis and stability of the scheme are investigated and the numerical results show that we can get different precision schemes by choosing suitably parameter values and this scheme is unconditionally stable. Two problems are solved to illustrate the efficiency of the methods as well as to compare with other methods.

Keywords: Coupled nonlinear Schrödinger equations; Von Neumann method; Parametric spline (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:360:y:2019:i:c:p:58-69

DOI: 10.1016/j.amc.2019.04.046

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