Numerical Approximation of Solution for the Coupled Nonlinear Schrodinger Equations

Numerical Approximation of Solution for the Coupled Nonlinear Schrodinger Equations

In this article, a compact finite difference scheme for the coupled nonlinear Schrodinger equations is studied. The scheme is proved to conserve the original conservative properties. Unconditional stability and convergence in maximum norm with order O（τ2 ＋ h4） are also proved by the discrete energy...

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Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2017-04, Vol.33 (2), p.435-450
Hauptverfasser: Chen, Juan, Zhang, Lu-ming
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Energy methods
Finite difference method
Math Applications in Computer Science
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Schrodinger equation
Theoretical
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Zusammenfassung:In this article, a compact finite difference scheme for the coupled nonlinear Schrodinger equations is studied. The scheme is proved to conserve the original conservative properties. Unconditional stability and convergence in maximum norm with order O（τ2 ＋ h4） are also proved by the discrete energy method. Finally, numerical results are provided to verify the theoretical analysis.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-017-0672-3