On Stability Analysis of Finite Difference Schemes for Generalized Kuramoto-Tsuzuki Equation with Nonlocal Boundary Conditions

被引：14
作者：
Leonaviciene, Terese [1 ]
Bugajev, Andrej [1 ]
Jankeviciute, Gerda [1 ]
Ciegis, Raimondas [1 ]
机构：
[1] Vilnius Gediminas Tech Univ, Saultekio Al 11, LT-10223 Vilnius, Lithuania
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2016年 / 21卷 / 05期
关键词：
finite difference method; stability analysis; Kuramoto-Tsuzuki equation; non-local boundary conditions; PSEUDOPARABOLIC EQUATION; NUMERICAL-SOLUTION; SUBJECT; OPERATOR;
D O I：
10.3846/13926292.2016.1198836
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A general methodology for the stability analysis of discrete approximations of nonstationary PDEs is applied to solve the Kuramoto-Tsuzuki equation, including also the Schrodinger problem. Stability regions are constructed for the explicit, backward and symmetrical Euler schemes. The obtained results are applied to solve the Kuramoto-Tsuzuki problem with a non-local integral boundary condition. Results of computational experiments are provided.
引用
收藏
页码：630 / 643
页数：14
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