An embedded 4(3) pair explicit two derivative Runge-Kutta-Nyström method for solving y″(x) = f(x, y, y′). (November 2018)

• Record Type: Journal Article
• Authors: Mohamed, T S; Senu, N; Nik Long, N M A; Ibrahim, Z B
• Is Part Of: Journal of physics. Volume 1132(2018)
• Publication Date: 2018-11
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1132/1/012014
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: In this paper, we present a pair of two derivative Runge-Kutta-Nyström method for solution of second-order ordinary differential equations(ODEs) of the form y ″( x ) = f ( x, y, y ′) denoted as ETDRKN method. The pair has two stages and algebraic orders four and three. The techniques used in the derivation of the method is that the higher order method is very precise and the lower order method give the best error estimate. The experimental results show the efficiency of the proposed method in comparison with the well-known embedded Runge-Kutta pairs in the scientific literature.