Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y')

This paper proposes and investigates a special class of explicit Runge-Kutta-Nyström (RKN) methods for problems in the form y'' (x) = f (x,y, y') including third derivatives and denoted as STDRKN. The methods involve one evaluation of second derivative and many evaluations of third d...

Full description

Bibliographic Details
Main Authors: Salama, Tahani Mohamed, Senu, Norazak, Ibrahim, Zarina Bibi, Nik Long, Nik Mohd Asri
Format: Article
Language:English
Published: Hindawi 2018
Online Access:http://psasir.upm.edu.my/id/eprint/72537/1/Efficient%20two%20derivative%20.pdf