Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 240-245.

• Articles • Previous Articles     Next Articles

A Conservative Numerical Schmem for Initial and Boundary Value Problem of Nonlinear Schrodinger Equation

  

  1. Department of Mathematics, University of Petroleum, Dongying 257062

     

     |Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080

  • Online:2000-03-03 Published:2000-03-03

Abstract:

Inthispaper,anewconservativefinitedifferenceschemeisproposedfornonlinearSchr¨ odingerequation,anditsconvergenceandstabilityareproved.Bymeansofnumericalcomputing,itisfollowedthatthenewdifferenceschemeisbetterthantheschemeofpaper[7]inprecision,whensuitableparameterisadopted.

 

Key words: NLSEquation, Differencescheme, Conservation, Convergence, Stability

CLC Number: 

  •  65N10
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