Cover Image

Optimized hybrid methods for solving oscillatory second order initial value problems

Two-step optimized hybrid methods of order five and order six are developed for the integration of second order oscillatory initial value problems. The optimized hybrid method (OHMs) are based on the existing nonzero dissipative hybrid methods. Phase-lag, dissipation or amplification error, and the...

Full description

Saved in:
Bibliographic Details
Main Authors: Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah, Ahmad, S. Z.
Format: Article
Language:English
Published: Hindawi Publishing 2015
Online Access:http://psasir.upm.edu.my/id/eprint/45709/1/HYBRID.pdf
http://psasir.upm.edu.my/id/eprint/45709/
https://www.hindawi.com/journals/ddns/2015/217578/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.45709
record_format eprints
spelling my.upm.eprints.457092021-01-20T17:47:34Z http://psasir.upm.edu.my/id/eprint/45709/ Optimized hybrid methods for solving oscillatory second order initial value problems Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Ahmad, S. Z. Two-step optimized hybrid methods of order five and order six are developed for the integration of second order oscillatory initial value problems. The optimized hybrid method (OHMs) are based on the existing nonzero dissipative hybrid methods. Phase-lag, dissipation or amplification error, and the differentiation of the phase-lag relations are required to obtain the methods. Phase-fitted methods based on the same nonzero dissipative hybrid methods are also constructed. Numerical results show that OHMs are more accurate compared to the phase-fitted methods and some well-known methods appeared in the scientific literature in solving oscillating second order initial value problems. It is also found that the nonzero dissipative hybrid methods are more suitable to be optimized than phase-fitted methods. Hindawi Publishing 2015 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/45709/1/HYBRID.pdf Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Ahmad, S. Z. (2015) Optimized hybrid methods for solving oscillatory second order initial value problems. Discrete Dynamics in Nature and Society. pp. 1-11. ISSN 1026-0226; ESSN: 1607-887X https://www.hindawi.com/journals/ddns/2015/217578/ 10.1155/2015/217578
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Two-step optimized hybrid methods of order five and order six are developed for the integration of second order oscillatory initial value problems. The optimized hybrid method (OHMs) are based on the existing nonzero dissipative hybrid methods. Phase-lag, dissipation or amplification error, and the differentiation of the phase-lag relations are required to obtain the methods. Phase-fitted methods based on the same nonzero dissipative hybrid methods are also constructed. Numerical results show that OHMs are more accurate compared to the phase-fitted methods and some well-known methods appeared in the scientific literature in solving oscillating second order initial value problems. It is also found that the nonzero dissipative hybrid methods are more suitable to be optimized than phase-fitted methods.
format Article
author Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
Ahmad, S. Z.
spellingShingle Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
Ahmad, S. Z.
Optimized hybrid methods for solving oscillatory second order initial value problems
author_facet Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
Ahmad, S. Z.
author_sort Senu, Norazak
title Optimized hybrid methods for solving oscillatory second order initial value problems
title_short Optimized hybrid methods for solving oscillatory second order initial value problems
title_full Optimized hybrid methods for solving oscillatory second order initial value problems
title_fullStr Optimized hybrid methods for solving oscillatory second order initial value problems
title_full_unstemmed Optimized hybrid methods for solving oscillatory second order initial value problems
title_sort optimized hybrid methods for solving oscillatory second order initial value problems
publisher Hindawi Publishing
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/45709/1/HYBRID.pdf
http://psasir.upm.edu.my/id/eprint/45709/
https://www.hindawi.com/journals/ddns/2015/217578/
_version_ 1690372558801600512
score 13.211869

Similar Items