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- Title
On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay.
- Authors
Wansheng Wang; Shoufu Li
- 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.
- Subjects
NONLINEAR equations; NUMERICAL solutions to differential equations; INTERPOLATION; LINEAR systems; ALGORITHMS; LIPSCHITZ spaces
- Publication
Journal of Applied Mathematics, 2012, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2012/989867