Optimized hybrid methods for solving oscillatory second order initial value problems
type: Item
instance of: scholarly article
title: Optimized hybrid methods for solving oscillatory second order initial value problems
zbMATH Open document ID: 1418.65076
DOI: 10.1155/2015/217578
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 7025263
Wikidata QID: Q59105688
author: N. Senu
author: F. Ismail
author: S. Z. Ahmad
author: M. B. Suleiman
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/217578
OpenAlex ID: W2013521630
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description: scientific article; zbMATH DE number 7025263