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Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs

In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and nu...

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Main Authors: Ismail, Fudziah, Salih, Mohammed M.
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57430/1/Diagonally%20implicit%20Runge-Kutta%20method%20of%20order%20four%20with%20minimum%20phase-lag%20for%20solving%20first%20order%20linear%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/57430/
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spelling my.upm.eprints.574302017-09-27T10:32:11Z http://psasir.upm.edu.my/id/eprint/57430/ Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs Ismail, Fudziah Salih, Mohammed M. In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and numerical results proved that the method is more accurate compared to other well known methods in the scientific literature. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57430/1/Diagonally%20implicit%20Runge-Kutta%20method%20of%20order%20four%20with%20minimum%20phase-lag%20for%20solving%20first%20order%20linear%20ODEs.pdf Ismail, Fudziah and Salih, Mohammed M. (2013) Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 1226-1231). 10.1063/1.4885049
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 In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and numerical results proved that the method is more accurate compared to other well known methods in the scientific literature.
format Conference or Workshop Item
author Ismail, Fudziah
Salih, Mohammed M.
spellingShingle Ismail, Fudziah
Salih, Mohammed M.
Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
author_facet Ismail, Fudziah
Salih, Mohammed M.
author_sort Ismail, Fudziah
title Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
title_short Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
title_full Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
title_fullStr Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
title_full_unstemmed Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
title_sort diagonally implicit runge-kutta method of order four with minimum phase-lag for solving first order linear odes
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57430/1/Diagonally%20implicit%20Runge-Kutta%20method%20of%20order%20four%20with%20minimum%20phase-lag%20for%20solving%20first%20order%20linear%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/57430/
_version_ 1643836485131042816
score 13.244199

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