On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay. (18th September 2012)

• Record Type: Journal Article
• Authors: Wang, Wansheng; Li, Shoufu
• Other Names: Gu Yuantong Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-09-18
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/989867
• Languages: English
• ISSNs: 1110-757X

Abstract

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.