• 论文 •

### 非线性中立型延迟微分方程单支方法的数值稳定性

1. 湘潭大学数学系,湘潭大学数学系 湘潭 411105,湘潭 411105
• 出版日期:2006-04-14 发布日期:2006-04-14

### NUMERICAL STABILITY OF ONE-LEG METHODS FOR NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

1. Yu Yuexin Li Shoufu (Department of Mathematics, Xiangtan University, Xiangtan 411105, China)
• Online:2006-04-14 Published:2006-04-14

This paper is concerned with numerical stability of one-leg methods for a class Rα,βof nonlinear neutral delay differential equations. It is proved that an A-stable one-leg method is numerically stable and a strongly A-stable one-leg method is asymptotically stable. Several numerical tests are given that confirm the theoretical results.
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