New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies
type: Item
instance of: scholarly article
title: New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies
zbMATH Open document ID: 1253.65110
DOI: 10.1155/2012/742585
author: Xiong You
author: Yonglei Fang
author: Zhao-Xia Chen
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods.
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 6116444
zbMATH Keywords: amplification fitted Numerov-type methods
zbMATH Keywords: periodic initial value problems
Wikidata QID: Q58696707
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/742585
OpenAlex ID: W2124836211
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description: scientific article; zbMATH DE number 6116444