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A LEAP FROG FINITE DIFFERENCE SCHEME FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS OF HIGHORDER
Authors:Wen-ping Zeng
Abstract:In this paper, the periodic initial value problem for the following class of nonlinear Schrodinger equation of high orderis considered. A leap-frog finite difference scheme is given, and convergence andstability is proved. Finally, it is shown by a numerical example that numerical.result is coincident with theoretical result.
Keywords:High order nonlinear Schrodinger equation   Leap-Frog difference scheme  Convergence.
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