The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results

被引：43

作者：

Ceballos, Juan Carlos

Sepulveda, Mauricio

Villagran, Octavio Paulo Vera

机构：

[1] Univ Concepcion, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Concepcion, Chile

[2] Univ Bio Bio, Dept Matemat, Concepcion, Chile

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期

关键词：

evolution equations; gain in regularity; Sobolev space; numerical methods;

D O I：

10.1016/j.amc.2007.01.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the initial-boundary problem associated to the Korteweg-de Vries-Kawahara perturbed by a dispersive term which appears in several fluids dynamics problems. We obtain local smoothing effects that are uniform with respect to the size of the interval. We also propose a simple finite different scheme for the problem and prove its unconditional stability. Finally we give some numerical examples. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：912 / 936

页数：25

共 24 条

[1] LONG WAVES ON LIQUID FILMS [J].