A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
type: Item
instance of: scholarly article
title: A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
zbMATH Open document ID: 1407.65077
DOI: 10.1155/2014/985120
author: K. W. Moo
author: N. Senu
author: F. Ismail
author: M. B. Suleiman
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A new diagonally implicit Runge-Kutta-Nyström (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions. The method is originally based on existing DIRKN method derived by Senu et al. which is three-stage and fourth algebraic order. The new derived method has a variable coefficient with phase-lag of order infinity. The numerical experiments are carried out and the results show the efficiency and accuracy of the new method in comparison with the other DIRKN methods in the literature.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 7017781
Wikidata QID: Q59071413
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/985120
OpenAlex ID: W2149930707
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description: scientific article; zbMATH DE number 7017781