THE FINITE DIFFERENCE METHOD FOR DISSIPATIVE KLEIN-GORDON-SCHRODINGER EQUATIONS IN THREE SPACE DIMENSIONS

被引：10

作者：

Zhang, Fayong ^{[1
,2
]}

Han, Bo ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2010年 / 28卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Dissipative Klein-Gordon-Schrodinger equations; Finite difference method; Error bounds; Maximal attractor; ATTRACTORS;

D O I：

10.4208/jcm.1004-m3191

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fully discrete finite difference scheme for dissipative Klein-Gordon-Schrodinger equations in three space dimensions is analyzed. On the basis of a series of the time-uniform priori estimates of the difference solutions and discrete version of Sobolev embedding theorems, the stability of the difference scheme and the error bounds of optimal order for the difference solutions are obtained in H-2 x H-2 x H-1 over a finite time interval. Moreover, the existence of a maximal attractor is proved for a discrete dynamical system associated with the fully discrete finite difference scheme.

引用

页码：879 / 900

页数：22

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