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Solving delay differential equations using modified 2-point block method

The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair...

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Main Authors: Abdul Aziz, Nurul Huda, Abdul Majid, Zanariah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2012
Online Access:http://psasir.upm.edu.my/id/eprint/57319/1/Solving%20delay%20differential%20equations%20using%20modified%202-point%20block%20method.pdf
http://psasir.upm.edu.my/id/eprint/57319/
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spelling my.upm.eprints.573192017-09-26T04:04:47Z http://psasir.upm.edu.my/id/eprint/57319/ Solving delay differential equations using modified 2-point block method Abdul Aziz, Nurul Huda Abdul Majid, Zanariah The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair of explicit and implicit of Adams formulas which are implemented in PE(CE)s mode. The Newton divided difference interpolation has been used to approximate the delay solutions and the algorithm is implemented in variable step size. Numerical results demonstrate the efficiency of the proposed method when solving delay differential equations. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57319/1/Solving%20delay%20differential%20equations%20using%20modified%202-point%20block%20method.pdf Abdul Aziz, Nurul Huda and Abdul Majid, Zanariah (2012) Solving delay differential equations using modified 2-point block method. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 791-797). 10.1063/1.4801207
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 The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair of explicit and implicit of Adams formulas which are implemented in PE(CE)s mode. The Newton divided difference interpolation has been used to approximate the delay solutions and the algorithm is implemented in variable step size. Numerical results demonstrate the efficiency of the proposed method when solving delay differential equations.
format Conference or Workshop Item
author Abdul Aziz, Nurul Huda
Abdul Majid, Zanariah
spellingShingle Abdul Aziz, Nurul Huda
Abdul Majid, Zanariah
Solving delay differential equations using modified 2-point block method
author_facet Abdul Aziz, Nurul Huda
Abdul Majid, Zanariah
author_sort Abdul Aziz, Nurul Huda
title Solving delay differential equations using modified 2-point block method
title_short Solving delay differential equations using modified 2-point block method
title_full Solving delay differential equations using modified 2-point block method
title_fullStr Solving delay differential equations using modified 2-point block method
title_full_unstemmed Solving delay differential equations using modified 2-point block method
title_sort solving delay differential equations using modified 2-point block method
publisher AIP Publishing LLC
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/57319/1/Solving%20delay%20differential%20equations%20using%20modified%202-point%20block%20method.pdf
http://psasir.upm.edu.my/id/eprint/57319/
_version_ 1643836451968778240
score 13.211869

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