D-Convergence of One-Leg Methods for Stiff Delay Differential Equations

D-Convergence of One-Leg Methods for Stiff Delay Differential Equations

Year:    2001

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

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 6 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-9012

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 6 : pp. 601–606

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Nonlinear delay differential equations

Author Details

Cheng-Ming Huang

Shou-Fu Li

Hong-Yuan Fu

Guang-Nan Chen