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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


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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
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