期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2019
卷号：2239
页码：558-564
出版社：Newswood and International Association of Engineers
摘要：In this article, we propose the Mathematica kernel
programming codes designed for implementing block Milne’s
device employing an expounded trigonometrically fitted method.
Block Milne’s device is an extraction of Adam’s family
constructed via expounded trigonometrically fitted method. We
execute the Mathematica kernel programming codes of block
Milne’s device in a block by block mode. This proficiencies of
scientific computing have great advantages of easy computation,
speed, faster convergence and accuracy. Other numerical gains of
block Milne’s device includes; changing the step-size, deciding
the convergence criteria and control errors. Additionally, the
Mathematica kernel programming codes for implementing block
Milne’s device is performed on some special problems to
demonstrate the accuracy and efficiency.
关键词：Mathematica kernel; expounded trigonometrically
fitted method; block Milne’s device; convergence criteria;
principal local truncation error
