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Volume 24, Issue 2
Spurious Numerical Solutions of Delay Differential Equations

Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang & Jia-Xiang Xiang

J. Comp. Math., 24 (2006), pp. 181-192.

Published online: 2006-04

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  • Abstract

This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.

  • Keywords

Spurious solution, Asymptotic behavior, Delay differential equation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-181, author = {Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang and Jia-Xiang Xiang}, title = {Spurious Numerical Solutions of Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {2}, pages = {181--192}, abstract = {

This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8744.html} }
TY - JOUR T1 - Spurious Numerical Solutions of Delay Differential Equations AU - Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang & Jia-Xiang Xiang JO - Journal of Computational Mathematics VL - 2 SP - 181 EP - 192 PY - 2006 DA - 2006/04 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8744.html KW - Spurious solution, Asymptotic behavior, Delay differential equation. AB -

This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.

Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang and Jia-Xiang Xiang. (2006). Spurious Numerical Solutions of Delay Differential Equations. Journal of Computational Mathematics. 24 (2). 181-192. doi:
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