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Volume 19, Issue 6
D-Convergence of One-Leg Methods for Stiff Delay Differential Equations

Cheng-Ming Huang, Shou-Fu Li, Hong-Yuan Fu & Guang-Nan Chen

J. Comp. Math., 19 (2001), pp. 601-606.

Published online: 2001-12

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  • Abstract

This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the error analysis of one-leg methods applied nonlinear stiff DDEs. It is proved that an A-stable one-leg method with a simple linear interpolation is D-convergent of order $p$, if it is consistent of order $p$ in the classical sense.

  • Keywords

Nonlinear delay differential equations One-leg methods D-convergence

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-601, author = {Huang , Cheng-MingLi , Shou-FuFu , Hong-Yuan and Chen , Guang-Nan}, title = {D-Convergence of One-Leg Methods for Stiff Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {6}, pages = {601--606}, abstract = {

This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the error analysis of one-leg methods applied nonlinear stiff DDEs. It is proved that an A-stable one-leg method with a simple linear interpolation is D-convergent of order $p$, if it is consistent of order $p$ in the classical sense.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9012.html} }
TY - JOUR T1 - D-Convergence of One-Leg Methods for Stiff Delay Differential Equations AU - Huang , Cheng-Ming AU - Li , Shou-Fu AU - Fu , Hong-Yuan AU - Chen , Guang-Nan JO - Journal of Computational Mathematics VL - 6 SP - 601 EP - 606 PY - 2001 DA - 2001/12 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9012.html KW - Nonlinear delay differential equations KW - One-leg methods KW - D-convergence AB -

This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the error analysis of one-leg methods applied nonlinear stiff DDEs. It is proved that an A-stable one-leg method with a simple linear interpolation is D-convergent of order $p$, if it is consistent of order $p$ in the classical sense.

Huang , Cheng-MingLi , Shou-FuFu , Hong-Yuan and Chen , Guang-Nan. (2001). D-Convergence of One-Leg Methods for Stiff Delay Differential Equations. Journal of Computational Mathematics. 19 (6). 601-606. doi:
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