Cover Image

Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations

A two-stage explicit two-step Runge-Kutta-Nyström (TSRKN) method is constructed for the numerical integration of special second-order IVPs. Algebraic order conditions of the method are obtained and third-order method is derived. A standard set of test problems are tested and comparisons on the numer...

Full description

Saved in:
Bibliographic Details
Main Authors: Md Ariffin, Latifah, Senu, Norazak, Suleiman, Mohamed
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57217/1/Third-order%20explicit%20two-step%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20solving%20second-order%20ordinary%20differential%20equations.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:psasir.upm.edu.my:57217
record_format eprints
spelling oai:psasir.upm.edu.my:57217 http://psasir.upm.edu.my/id/eprint/57217/ Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations Md Ariffin, Latifah Senu, Norazak Suleiman, Mohamed A two-stage explicit two-step Runge-Kutta-Nyström (TSRKN) method is constructed for the numerical integration of special second-order IVPs. Algebraic order conditions of the method are obtained and third-order method is derived. A standard set of test problems are tested and comparisons on the numerical results are made with existing Runge-Kutta-Nyström (RKN) and Runge-Kutta (RK) methods of the same order using constant step size. The numerical results show's its clear advantage in terms of function evaluation. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57217/1/Third-order%20explicit%20two-step%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20solving%20second-order%20ordinary%20differential%20equations.pdf Md Ariffin, Latifah and Senu, Norazak and Suleiman, Mohamed (2013) Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 326-329). 10.1063/1.4823929
institution UPM IR
collection UPM IR
language English
description A two-stage explicit two-step Runge-Kutta-Nyström (TSRKN) method is constructed for the numerical integration of special second-order IVPs. Algebraic order conditions of the method are obtained and third-order method is derived. A standard set of test problems are tested and comparisons on the numerical results are made with existing Runge-Kutta-Nyström (RKN) and Runge-Kutta (RK) methods of the same order using constant step size. The numerical results show's its clear advantage in terms of function evaluation.
format Conference or Workshop Item
author Md Ariffin, Latifah
Senu, Norazak
Suleiman, Mohamed
spellingShingle Md Ariffin, Latifah
Senu, Norazak
Suleiman, Mohamed
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
author_facet Md Ariffin, Latifah
Senu, Norazak
Suleiman, Mohamed
author_sort Md Ariffin, Latifah
title Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
title_short Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
title_full Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
title_fullStr Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
title_full_unstemmed Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
title_sort third-order explicit two-step runge-kutta-nyström method for solving second-order ordinary differential equations
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57217/1/Third-order%20explicit%20two-step%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20solving%20second-order%20ordinary%20differential%20equations.pdf
_version_ 1819297723523792896
score 13.4562235

Similar Items