Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations-Reference-Cited by-同舟云学术

Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations

Published:2015 Issue: Volume:2015 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Yu Yuexin¹,Wen Liping¹

Affiliation:

1. Department of Mathematics, Xiangtan University, Xiangtan 411105, China

Abstract

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 anA-stable one-leg method can preserve the global stability and a stronglyA-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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/325364.pdf

Reference29 articles.

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1. Stability of Runge-Kutta Methods for Neutral Delay Differential Equations;Discrete Dynamics in Nature and Society;2015