文章基本信息

标题：Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations
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作者：Yuexin Yu ; Liping Wen
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2015
卷号：2015
DOI：10.1155/2015/325364
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs. Numerical tests are given to confirm the theoretical results.