Journal of East China Normal University(Natural Science) >

2016 , Vol. 2016 >Issue 3: 1 - 8

DOI: https://doi.org/2016.03.001

Article

A linear compact scheme for the nonlinear Schr"odinger equation with wave operator

  • LI Xin ,
  • ZHANG Lu-Ming ,
  • CHAI Guang-Ying
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Received date: 2015-04-27

  Online published: 2016-09-22

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Abstract

In this paper, a linear compact finite difference scheme is proposed for the nonlinear Schr"odinger equation with wave operator (NLSEWO). Thus, the periodic initial value problem of the NLSEWO is solved. The unconditional stability and convergence in maximum norm with order O(h[4]+tau[2]) are proved by the prior estimations and the energy method. Those theoretical results are demonstrated by a numerical experiment.

Key words： nonlinear Schr"; odinger equation; wave operator; linear compact scheme; stability; convergence

Cite this article

LI Xin , ZHANG Lu-Ming , CHAI Guang-Ying . A linear compact scheme for the nonlinear Schr"odinger equation with wave operator[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(3) : 1 -8 . DOI: 2016.03.001

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