Third order accelerated Runge-Kutta Nyström method for solving second-order ordinary differential equations

Faranak Rabiei, Fudziah Ismail, Norihan Arifin, Saeid Emadi

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther


In this paper, the explicit Accelerated Runge-Kutta Nyström (ARKN) method of order three with two stages for the numerical integration of second-order ordinary differential equations are developed. The method is two step in nature. Algebraic order conditions of the method are obtained and third order ARKN method is derived. Numerical examples are carried out to illustrate the efficiency of the proposed method compared to the existing Runge-Kutta Nyström (RKN) method.

Original languageEnglish
Title of host publicationInformatics Engineering and Information Science - International Conference, ICIEIS 2011, Proceedings
Number of pages6
EditionPART 3
Publication statusPublished - 2011
Externally publishedYes
EventInternational Conference on Informatics Engineering and Information Science (ICIEIS) 2011 - Kuala Lumpur, Malaysia
Duration: 14 Nov 201116 Nov 2011 (Proceedings)

Publication series

NameCommunications in Computer and Information Science
NumberPART 3
Volume253 CCIS
ISSN (Print)1865-0929


ConferenceInternational Conference on Informatics Engineering and Information Science (ICIEIS) 2011
Abbreviated titleICEIS 2011
CityKuala Lumpur
Internet address


  • Accelerated Runge-Kutta Nyström method
  • Order conditions
  • Second-order ordinary differential equations
  • Two step method

Cite this