Cover Image

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...

Full description

Saved in:
Bibliographic Details
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/7452/1/26_Ayiesah.pdf
http://journalarticle.ukm.my/7452/
http://www.ukm.my/jsm/english_journals/vol39num6_2010/contentsVol39num6_2010.html
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-ukm.journal.7452
record_format eprints
spelling my-ukm.journal.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
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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/7452/1/26_Ayiesah.pdf
http://journalarticle.ukm.my/7452/
http://www.ukm.my/jsm/english_journals/vol39num6_2010/contentsVol39num6_2010.html
_version_ 1643737134841987072
score 13.211869

Similar Items