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

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 solvin...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Md Ariffin, Latifah, Senu, Norazak, Suleiman, Mohamed, Abdul Majid, Zanariah
التنسيق: مقال
اللغة:English
منشور في: Hikari Ltd 2018
الموضوعات:
T Technology (General)
QA299.6-433 Analysis
الوصول للمادة أونلاين:http://eprints.uthm.edu.my/5538/1/AJ%202018%20%28567%29.pdf
http://eprints.uthm.edu.my/5538/
http://dx.doi.org/10.12988/ams.2014.46403
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spelling my.uthm.eprints.55382022-01-13T07:25:57Z http://eprints.uthm.edu.my/5538/ Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs Md Ariffin, Latifah Senu, Norazak Suleiman, Mohamed Abdul Majid, Zanariah T Technology (General) QA299.6-433 Analysis 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. Hikari Ltd 2018 Article PeerReviewed text en http://eprints.uthm.edu.my/5538/1/AJ%202018%20%28567%29.pdf 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 http://dx.doi.org/10.12988/ams.2014.46403
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
QA299.6-433 Analysis
spellingShingle T Technology (General)
QA299.6-433 Analysis
Md Ariffin, Latifah
Senu, Norazak
Suleiman, Mohamed
Abdul Majid, Zanariah
Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
description 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.
format Article
author Md Ariffin, Latifah
Senu, Norazak
Suleiman, Mohamed
Abdul Majid, Zanariah
author_facet Md Ariffin, Latifah
Senu, Norazak
Suleiman, Mohamed
Abdul Majid, Zanariah
author_sort Md Ariffin, Latifah
title Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
title_short Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
title_full Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
title_fullStr Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
title_full_unstemmed Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
title_sort embedded explicit two-step runge-kutta-nystr¨om for solving special second-order ivps
publisher Hikari Ltd
publishDate 2018
url http://eprints.uthm.edu.my/5538/1/AJ%202018%20%28567%29.pdf
http://eprints.uthm.edu.my/5538/
http://dx.doi.org/10.12988/ams.2014.46403
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