Exponentially Fitted and Trigonometrically Fitted Two-Derivative Runge-Kutta-Nyström Methods for Solving

Tahani Salama Mohamed, Norazak Senu, Zarina Bibi Ibrahim and Nik Mohd Asri Nik Long

Mathematical Problems in Engineering, 2018, vol. 2018, 1-19

Abstract:

Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nyström (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are linear combinations of functions and respectively, when , the frequency of the problem. The results of numerical experiments showed that the new approaches are more efficient than existing methods in the literature.

Date: 2018
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2018/7689854.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2018/7689854.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7689854

DOI: 10.1155/2018/7689854

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().