The Impacts of Initial Perturbations on the Computational Stability of Nonlinear Evolution Equations

The impacts of initial perturbations on the computational stability of nonlinear evolution equations for non-conservative difference schemes and non-periodic boundary conditions are studied through theoretical analysis and numerical experiments for the case of onedimensional equations. The sensitivi...

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Bibliographic Details
Published in:Atmospheric and oceanic science letters = Daqi-he-haiyang-kexue-kuaibao 2011, Vol.4 (5), p.293-297
Main Author: WU Li-Fei LIN Wan-Tao YANG Xiao-Zhong
Format: Article
Language:English
Subjects:
Boundary conditions
Chaos theory
computational stability
Evolution
initial perturbations
initial values
nonlinear evolution equation
Nonlinear programming
Perturbations
Stability
Theoretical analysis
初始值
初始扰动
周期边界条件
差分格式
数值试验
计算稳定性
非线性发展方程
非线性演化方程
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Summary:The impacts of initial perturbations on the computational stability of nonlinear evolution equations for non-conservative difference schemes and non-periodic boundary conditions are studied through theoretical analysis and numerical experiments for the case of onedimensional equations. The sensitivity of the difference scheme to initial values is further analyzed. The results show that the computational stability primarily depends on the form of the initial values if the difference scheme and boundary conditions are determined. Thus, the computational stability is sensitive to the initial perturbations.
ISSN:1674-2834
2376-6123
DOI:10.1080/16742834.2011.11446945