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 - <p style="text-align: justify;">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.</p>