The brachistochrone problem revisited: a numerical solution via non-linear root-finding

被引：0
|
作者：
Hoseana, Jonathan [1 ]
Kusnadi, Maria Regina [1 ]
Jeremy, Ivander [1 ]
Felisha, Felisha [1 ]
机构：
[1] Parahyangan Catholic Univ, Dept Math, Bandung 40141, Indonesia
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2022年 / 53卷 / 12期
关键词：
Brachistochrone; Snell's law; numerical solution; root-finding;
D O I：
10.1080/0020739X.2021.1966705
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
We revisit the famous brachistochrone problem - determining the shape of the frictionless slide connecting two points at different altitudes which allows a particle to travel under gravity in the shortest possible time - and discuss a modest numerical solution which employs - and hence could enrich the teaching of - iterative root-finding methods.
引用
收藏
页码：3417 / 3427
页数：11
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