Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term

Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term

Abstract A compact finite difference (CFD) scheme is presented for the nonlinear Schrödinger equation involving a quintic term. The two discrete conservative laws are obtained. The unconditional stability and convergence in maximum norm with order O(τ2+h4) $O({\tau }^{2}+h^{4})$ are proved by using...

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Bibliographic Details
Main Authors: Hanqing Hu, Hanzhang Hu
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Schrödinger equation involving a quintic term
Compact finite difference scheme
Conservation
Convergence
Unconditional stability
The max norm
Online Access:http://link.springer.com/article/10.1186/s13660-018-1775-y

Internet

http://link.springer.com/article/10.1186/s13660-018-1775-y

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