Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations

Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard...

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Main Authors:	Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2010
Online Access:	http://journalarticle.ukm.my/7452/ http://journalarticle.ukm.my/7452/ http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf

id	ukm-7452
recordtype	eprints
spelling	ukm-74522016-12-14T06:44:08Z http://journalarticle.ukm.my/7452/ Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan, Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard test problems are solved using the method. Numerical results are tabulated and compared with the existing method. Universiti Kebangsaan Malaysia 2010-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf Fudziah Ismail, and Raed Ali Al-Khasawneh, and Mohamed Suleiman, and Malik Abu Hassan, (2010) Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations. Sains Malaysiana, 39 (6). pp. 1049-1054. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol39num6_2010/contentsVol39num6_2010.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard test problems are solved using the method. Numerical results are tabulated and compared with the existing method.
format	Article
author	Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan,
spellingShingle	Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan, Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
author_facet	Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan,
author_sort	Fudziah Ismail,
title	Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
title_short	Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
title_full	Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
title_fullStr	Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
title_full_unstemmed	Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
title_sort	embedded pair of diagonally implicit runge-kutta method for solving ordinary differential equations
publisher	Universiti Kebangsaan Malaysia
publishDate	2010
url	http://journalarticle.ukm.my/7452/ http://journalarticle.ukm.my/7452/ http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf
first_indexed	2023-09-18T19:49:45Z
last_indexed	2023-09-18T19:49:45Z
_version_	1777406140306423808

Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations

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