TY - JOUR
T1 - A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis
AU - Xin Leng, De-Gui Liu, Xiao-Qiu Song & Li-Rong Chen
JO - Journal of Computational Mathematics
VL - 6
SP - 647
EP - 656
PY - 2005
DA - 2005/12
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8844.html
KW - Analysis of numerical stability, Singular delay differential equations, Two-step continuity Runge-Kutta methods.
AB - <p style="text-align: justify;">In this paper, a class of two-step continuity Runge-Kutta (TSCRK) methods for solving
singular delay differential equations (DDEs) is presented. Analysis of numerical stability of
the methods is given. We consider the two distinct cases: $(i)τ ≥ h$, $(ii)τ &lt; h$, where the
delay $τ$ and step size $h$ of the two-step continuity Runge-Kutta methods are both constant.
The absolute stability regions of some methods are plotted and numerical examples show
the efficiency of the method.</p>