文献类型：期刊文章

作　　者：梁宗旗[1] 鲁百年[2]

机构地区：[1]山西吕梁高等专科学校数学系 [2]陕西师范大学数学系

出　　处：《高等学校计算数学学报》

基　　金：国家自然科学基金

年　　份：1999

卷　　号：21

期　　号：3

起止页码：202-211

语　　种：中文

收录情况：AJ、BDHX、BDHX1996、CSCD、CSCD2011_2012、JST、MR、ZGKJHX、ZMATH、核心刊

摘　　要：In this paper, authors consider the following class of non-linear Schrdinger equation with periodic initial boundary value problems. Where W is the wave operator, are real constants i= is a continues real function with a real variable, and has continues differential for Rez, Imz, I=[0,T] (T>0), u0 (x),u1 (x) are the given complex functions, and u(x, t) is the unknown complex function. In this paper, the "frog-leap" quasi-spectrum scheme about the one-dimensional non-linear Schrdinger equation with the wave operator is established. By using the bound extension method and energy estimate method, the convergence, stability and error estimate are proved, the numerical simulation of the quasispectrum scheme has been made. Therefore the error estimate of the shceme is checked by the computation on the computer.

关 键 词：波动算子 薛定谔方程 拟谱法  非线性

分 类 号：O241.82] O413.1[数学类]