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Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems

The boundary and initial conditions that are related to the retarded and neutral delay differential equations, respectively, will be resolved in this work by using the previous direct multistep method. This method solves retarded and neutral delay differential equations directly by implementing the...

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Main Authors: Jaaffar, N. T., Ismail, N. I. N., Majid, Z. A., Senu, N.
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2023
Online Access:http://psasir.upm.edu.my/id/eprint/107351/1/107351.pdf
http://psasir.upm.edu.my/id/eprint/107351/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2023/September/17/3/413-424
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spelling my.upm.eprints.1073512024-11-04T03:56:44Z http://psasir.upm.edu.my/id/eprint/107351/ Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems Jaaffar, N. T. Ismail, N. I. N. Majid, Z. A. Senu, N. The boundary and initial conditions that are related to the retarded and neutral delay differential equations, respectively, will be resolved in this work by using the previous direct multistep method. This method solves retarded and neutral delay differential equations directly by implementing the proposed method without converting it to a first-order system. For boundary value problems, the shooting strategy incorporated with the Newton method is utilized to predict the guessing value. The initial value problem for neutral delay differential equations on the other hand is resolved directly with special attention to the differential part of the problem. Several numerical examples are investigated to observe the capability of the developed strategies and methods for solving retarded delay differential equations with boundary value problems and neutral delay differential equations with initial value problems. Universiti Putra Malaysia Press 2023-09 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/107351/1/107351.pdf Jaaffar, N. T. and Ismail, N. I. N. and Majid, Z. A. and Senu, N. (2023) Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems. Malaysian Journal of Mathematical Sciences, 17 (3). 413 - 424. ISSN 1823-8343; eISSN: 2289-750X https://mjms.upm.edu.my/lihatmakalah.php?kod=2023/September/17/3/413-424 10.47836/mjms.17.3.10
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 boundary and initial conditions that are related to the retarded and neutral delay differential equations, respectively, will be resolved in this work by using the previous direct multistep method. This method solves retarded and neutral delay differential equations directly by implementing the proposed method without converting it to a first-order system. For boundary value problems, the shooting strategy incorporated with the Newton method is utilized to predict the guessing value. The initial value problem for neutral delay differential equations on the other hand is resolved directly with special attention to the differential part of the problem. Several numerical examples are investigated to observe the capability of the developed strategies and methods for solving retarded delay differential equations with boundary value problems and neutral delay differential equations with initial value problems.
format Article
author Jaaffar, N. T.
Ismail, N. I. N.
Majid, Z. A.
Senu, N.
spellingShingle Jaaffar, N. T.
Ismail, N. I. N.
Majid, Z. A.
Senu, N.
Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
author_facet Jaaffar, N. T.
Ismail, N. I. N.
Majid, Z. A.
Senu, N.
author_sort Jaaffar, N. T.
title Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
title_short Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
title_full Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
title_fullStr Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
title_full_unstemmed Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
title_sort direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems
publisher Universiti Putra Malaysia Press
publishDate 2023
url http://psasir.upm.edu.my/id/eprint/107351/1/107351.pdf
http://psasir.upm.edu.my/id/eprint/107351/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2023/September/17/3/413-424
_version_ 1814936547526443008
score 13.211869

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