UPM Institutional Repository

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


Citation

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).

Abstract

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.


Download File

[img]
Preview
PDF (Abstract)
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations.pdf

Download (36kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4823929
Publisher: AIP Publishing LLC
Keywords: Two-step Runge-Kutta-Nystrom method; Order conditions; Second-order ordinary differential equations; Constant step size
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:42
Last Modified: 26 Sep 2017 03:42
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823929
URI: http://psasir.upm.edu.my/id/eprint/57217
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item