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

页码：630 / 643

页数：14

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