UTHM Institutional Repository

Embedded explicit two-step Runge-Kutta-Nyström for solving special second-order IVPs

Ariffin, L. M. and Senu, N. and Suleiman, M. and Majid, Z.A. (2014) Embedded explicit two-step Runge-Kutta-Nyström for solving special second-order IVPs. Applied Mathematical Sciences, 8 (94). pp. 4655-4673. ISSN 1312-885X

[img]
Preview
PDF
J6645_7a70c1fd2a1bcefdbae420d81425447c.pdf

Download (147kB)

Abstract

A third-order three-stage explicit Two-step Runge-Kutta-Nystr¨om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems (IVPs) directly. The stability of the method is investigated. Numerical results are obtained by solving a standard set of test problems, which then reduced to first-order system when solved using Runge-Kutta (RK) method and comparison are made with existing RK method with same order using variable step-size. The results clearly showed the advantage and the efficiency of the new method.

Item Type: Article
Uncontrolled Keywords: Two-step Runge-Kutta-Nystr¨om methods; Second Order ODEs; Absolute Stability
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mechanical and Manufacturing Engineering > Department of Aeronautical Engineering
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 30 Sep 2019 03:38
Last Modified: 30 Sep 2019 03:38
URI: http://eprints.uthm.edu.my/id/eprint/11770
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year