L2-stability analysis of novel ETD scheme for Kuramoto-Sivashinsky equations

被引：0

作者：

Vaissmoradi, N. ^{[1
]}

Malek, A. ^{[1
]}

Momeni-Masuleh, S. H. ^{[2
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Appl Math, Tehran, Iran

[2] Shahed Univ, Dept Math, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 08期

关键词：

Spectral Galerkin methods; Asymptotic stability; Nonlinear stiff PDEs; Kuramoto-Sivashinsky equation; Exponential time differencing; Truncation error; NONLINEAR-WAVE EQUATIONS; RUNGE-KUTTA METHODS; TIME; DISCRETIZATION;

D O I：

10.1016/j.cam.2010.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the stability analysis of novel ETD scheme proposed by the authors based on spectral methods, the exponential time differencing and Taylor expansion. Stability issue of the proposed numerical scheme is related to an analysis of the stability of the corresponding ODE system for time marching approach. It is proved that the novel scheme is L-2-stable in solving the Kuramoto-Sivashinsky model problems. The truncation error and the stability region for the novel scheme are provided. Comparisons with available literature are made. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2493 / 2500

页数：8

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