Filon trapezoidal schemes for Hankel transforms of orders zero and one

✍ Scribed by R. Barakat; B.H. Sandler

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 178 KB
• Volume: 40
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)85014-2

✦ Synopsis

Algorithms for evaluating zero-order and first-order Hankel transforms using Filon quadrature philosophy are developed in the context of a trapezoidal approximation rather than of a Simpson's rule approximation previously discussed. Unlike the Filon/Simpson algorithm previously developed, the Filon/trapezoidal algorithm tends to saturate, in that increasing the number of quadrature points does not materially increase the accuracy. Numerical examples are given and discussed. ~) 2000 Elsevier Science Ltd. All rights reserved. Keywords--Filon trapezoidal scheme, Algorithm, Hankel transform of order zero, Hankel transform of order one.