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/
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author Hazwani Mohd Radzi,
Zanariah Abdul Majid,
Fudziah Ismail,
Mohamed Suleiman,
author_facet Hazwani Mohd Radzi,
Zanariah Abdul Majid,
Fudziah Ismail,
Mohamed Suleiman,
author_sort Hazwani Mohd Radzi,
building UKM Institutional Repository
collection Online Access
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.
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institution Universiti Kebangasaan Malaysia
institution_category Local University
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publishDate 2012
publisher Penerbit Universiti Kebangsaan Malaysia
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spelling oai:generic.eprints.org: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
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)
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_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_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_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)
url http://journalarticle.ukm.my/5458/
http://journalarticle.ukm.my/5458/