Journal of Applied Mathematics

On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay

Wansheng Wang and Shoufu Li

Full-text: Open access

Abstract

Based on A-stable one-leg methods and linear interpolations, we introduce four algorithms for solving neutral differential equations with variable delay. A natural question is which algorithm is better. To answer this question, we analyse the error behavior of the four algorithms and obtain their error bounds under a one-sided Lipschitz condition and some classical Lipschitz conditions. After extensively numerically experimenting, we give a positive conclusion.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 989867, 27 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153497

Digital Object Identifier
doi:10.1155/2012/989867

Mathematical Reviews number (MathSciNet)
MR2970441

Zentralblatt MATH identifier
1251.65096

Citation

Wang, Wansheng; Li, Shoufu. On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay. J. Appl. Math. 2012 (2012), Article ID 989867, 27 pages. doi:10.1155/2012/989867. https://projecteuclid.org/euclid.jam/1357153497


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