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

Wansheng Wang and Shoufu Li

Journal of Applied Mathematics, 2012, vol. 2012, 1-27

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:989867

DOI: 10.1155/2012/989867

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