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

• Jonathan Hoseana ^[1] ; Maria Regina Kusnadi ^[1] ; Ivander Jeremy ^[1] ; Felisha Felisha ^[1]
  1. [1] Parahyangan Catholic University

     Parahyangan Catholic University

     Indonesia

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 53, Nº. 12, 2022, págs. 3417-3427
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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 rootfinding methods.