@Article{JCM-23-647, author = {Xin Leng, De-Gui Liu, Xiao-Qiu Song and Li-Rong Chen}, title = {A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {6}, pages = {647--656}, abstract = {

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: $(i)τ ≥ h$, $(ii)τ < h$, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8844.html} }