A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems

• Main Authors: Norazak Senu,, Mohamed Suleiman,, Fudziah Ismail,, Mohamed Othman,
• Format: Article
• Language: English
• Published: Universiti Kebangsaan Malaysia 2010
• Online Access: http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf; http://journalarticle.ukm.my/7384/; http://www.ukm.my/jsm/english_journals/vol39num4_2010/contentsVol39num4_2010.html

A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local...