Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs

Md Ariffin, Latifah and Senu, Norazak and Suleiman, Mohamed and Abdul Majid, Zanariah (2018) Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs. Applied Mathematical Sciences, 8 (94). pp. 4655-4673. ISSN 1312-885X

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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:	T Technology > T Technology (General) Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions:	Faculty of Mechanical and Manufacturing Engineering > Department of Aeronautical Engineering
Depositing User:	UiTM Student Praktikal
Date Deposited:	13 Jan 2022 07:25
Last Modified:	13 Jan 2022 07:25
URI:	http://eprints.uthm.edu.my/id/eprint/5538

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