arrow
Volume 23, Issue 6
A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis

Xin Leng, De-Gui Liu, Xiao-Qiu Song & Li-Rong Chen

J. Comp. Math., 23 (2005), pp. 647-656.

Published online: 2005-12

Export citation
  • 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.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-23-647, author = {}, 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} }
TY - JOUR T1 - A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis 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 -

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.

Xin Leng, De-Gui Liu, Xiao-Qiu Song & Li-Rong Chen. (1970). A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis. Journal of Computational Mathematics. 23 (6). 647-656. doi:
Copy to clipboard
The citation has been copied to your clipboard