Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation

被引：49
作者：
Akrivis, G [1 ]
Smyrlis, YS
机构：
[1] Univ Ioannina, Dept Comp Sci, GR-45110 Ioannina, Greece
[2] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
来源：
APPLIED NUMERICAL MATHEMATICS | 2004年 / 51卷 / 2-3期
关键词：
Kuramoto-Sivashinsky equation; implicit-explicit BDF methods; periodic attractors; period doubling cascades;
D O I：
10.1016/j.apnum.2004.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a pseudo-spectral method. We present the results of various numerical experiments. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：151 / 169
页数：19
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