Compact Local Structure-Preserving Algorithms for the Nonlinear Schrödinger Equation with Wave Operator

Combining the compact method with the structure-preserving algorithm, we propose a compact local energy-preserving scheme and a compact local momentum-preserving scheme for the nonlinear Schrödinger equation with wave operator (NSEW). The convergence rates of both schemes are Oh4+τ2. The discrete lo...

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Veröffentlicht in:Mathematical problems in engineering Jg. 2020; H. 2020; S. 1 - 12
Hauptverfasser: Huang, Langyang, Cai, Yaoxiong, Tian, Zhaowei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
John Wiley & Sons, Inc
Schlagworte:
Algorithms
Conservation laws
Convergence
Schrodinger equation
ISSN:1024-123X, 1563-5147
Online-Zugang:Volltext
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Zusammenfassung:Combining the compact method with the structure-preserving algorithm, we propose a compact local energy-preserving scheme and a compact local momentum-preserving scheme for the nonlinear Schrödinger equation with wave operator (NSEW). The convergence rates of both schemes are Oh4+τ2. The discrete local conservative properties of the presented schemes are derived theoretically. Numerical experiments are carried out to demonstrate the convergence order and local conservation laws of the developed algorithms.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/4345278