Embedded explicit two-step Runge-Kutta-Nystrom 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-Nystrom for solving special second-order IVPs. Applied Mathematical Sciences, 8 (94). pp. 4655-4673. ISSN 1312-885X

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Official URL: http://dx.doi.org/10.12988/ams.2014.46403

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 re-sults 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-Nystrom methods; Second Order ODEs; Absolute Stability
Subjects:	T Technology > T Technology (General)
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Miss Nur Rasyidah Rosli
Date Deposited:	23 Jan 2022 04:26
Last Modified:	23 Jan 2022 04:26
URI:	http://eprints.uthm.edu.my/id/eprint/5761

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