On a differential-delay equation arising in number theory

被引：5
|
作者：
Khajah, HG [1 ]
Ortiz, EL [1 ]
机构：
[1] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,DEPT MATH,LONDON,ENGLAND
来源：
APPLIED NUMERICAL MATHEMATICS | 1996年 / 21卷 / 04期
关键词：
Tau Method approximation; differential-delay equations;
D O I：
10.1016/S0168-9274(96)00020-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the Tau Method to approximate Buchstab's function which is defined by the differential-delay equation (uw(u))' = w(u-1) for u greater than or equal to 2 and w(u) = 1/u for 1 less than or equal to u less than or equal to 2. This equation has been treated by other authors using different numerical techniques. The errors in the Tau Method case are found to be lower than those obtained using power series expansions.
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页码：431 / 437
页数：7
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