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On a differential-delay equation arising in number theory

✍ Scribed by H.G. Khajah; E.L. Ortiz

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 284 KB
Volume: 21
Category: Article
ISSN: 0168-9274
DOI: 10.1016/s0168-9274(96)00020-7

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✦ Synopsis

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 >/ 2 and w(u) = 1/u for 1 ~< u ~< 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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