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

DOI:

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

Published online: 2005-12

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  • 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 this methods is given. We consider the two distinct cases: (i) $\tau\geq h$, (ii) $\tau.

  • Keywords

Analysis of numerical stability Singular delay differential equations Two-step continuity Runge-Kutta methods

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@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 this methods is given. We consider the two distinct cases: (i) $\tau\geq h$, (ii) $\tau. }, 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 KW - Singular delay differential equations KW - 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 this methods is given. We consider the two distinct cases: (i) $\tau\geq h$, (ii) $\tau.
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:
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