On the use of Taylor expansion in solving first order ordinary differential equations
作者:
A. M. Awin,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1989)
卷期:
Volume 20,
issue 5
页码: 749-753
ISSN:0020-739X
年代: 1989
DOI:10.1080/0020739890200513
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Following the common procedure of deriving the Euler method and the extended Euler method through the use of Taylor expansion, four terms of the expansion are considered and some cases are calculated numerically. It is shown that one can, as expected, obtain a rapid improvement of the results, and moreover this is obtained for a small number of sub‐intervals of the interval under consideration.
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