Convergence and Stability in Collocation Methods of Equation u′(t) = au(t) plus bu([t])

被引：1
作者：
Yan, Han [1 ]
Ma, Shufang [2 ]
Liu, Yanbin [1 ]
Sun, Hongquan [1 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] NE Forest Univ, Dept Math, Harbin 150040, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
RUNGE-KUTTA METHODS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; DELAYS;
D O I：
10.1155/2012/125926
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for u'(t) = au(t) + bu([t]). The optimal convergence order and superconvergence order are obtained, and the stability regions for the collocation methods are determined. The conditions that the analytic stability region is contained in the numerical stability region are obtained, and some numerical experiments are given.
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页数：17
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