Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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Publication:401589

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DOI10.1016/j.jcp.2013.02.037zbMath1297.65100OpenAlexW2056316273MaRDI QIDQ401589

Dongling Wang, Wei Yang, Ai-Guo Xiao

Publication date: 27 August 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.02.037

zbMATH Keywords

stability convergence numerical examples Crank-Nicolson scheme fractional Schrödinger equation fractional centered difference method

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

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