Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)

In this paper, initial value problems of first order delay differential equations (DDEs) are solved using two and three point one step block method. Neville’s interpolation will be implemented for the solutions of the delay argument. The general formulation of one-step block method for solving ordin...

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Main Authors: Hazwani Mohd Radzi, Zanariah Abdul Majid, Fudziah Ismail, Mohamed Suleiman
Format: Article
Published: Penerbit Universiti Kebangsaan Malaysia 2012
Online Access:http://journalarticle.ukm.my/5458/
http://www.ukm.my/jqma/index2.html
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Institution: Universiti Kebangsaan Malaysia
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spelling my-ukm.journal.54582012-08-28T08:12:43Z http://journalarticle.ukm.my/5458/ Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah) Hazwani Mohd Radzi, Zanariah Abdul Majid, Fudziah Ismail, Mohamed Suleiman, In this paper, initial value problems of first order delay differential equations (DDEs) are solved using two and three point one step block method. Neville’s interpolation will be implemented for the solutions of the delay argument. The general formulation of one-step block method for solving ordinary differential equations is adapted to solve DDEs. The P- and Q-stability are also discussed. Numerical results are given to illustrate the performance of those block methods for solving delay differential equations. Penerbit Universiti Kebangsaan Malaysia 2012 Article PeerReviewed Hazwani Mohd Radzi, and Zanariah Abdul Majid, and Fudziah Ismail, and Mohamed Suleiman, (2012) Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah). Journal of Quality Measurement and Analysis, 82 (1). pp. 29-41. ISSN 1823-5670 http://www.ukm.my/jqma/index2.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/
description In this paper, initial value problems of first order delay differential equations (DDEs) are solved using two and three point one step block method. Neville’s interpolation will be implemented for the solutions of the delay argument. The general formulation of one-step block method for solving ordinary differential equations is adapted to solve DDEs. The P- and Q-stability are also discussed. Numerical results are given to illustrate the performance of those block methods for solving delay differential equations.
format Article
author Hazwani Mohd Radzi,
Zanariah Abdul Majid,
Fudziah Ismail,
Mohamed Suleiman,
spellingShingle Hazwani Mohd Radzi,
Zanariah Abdul Majid,
Fudziah Ismail,
Mohamed Suleiman,
Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)
author_facet Hazwani Mohd Radzi,
Zanariah Abdul Majid,
Fudziah Ismail,
Mohamed Suleiman,
author_sort Hazwani Mohd Radzi,
title Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)
title_short Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)
title_full Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)
title_fullStr Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)
title_full_unstemmed Two and three point one-step block methods for solving delay differential Eequations (Kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan Lengah)
title_sort two and three point one-step block methods for solving delay differential eequations (kaedah blok satu langkah dua dan tiga titik bagi penyelesaian persamaan pembezaan lengah)
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2012
url http://journalarticle.ukm.my/5458/
http://www.ukm.my/jqma/index2.html
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