Cover Image

Solving the singularly perturbation problems of delay differential equations numerically

Singular perturbation problems with delay argument have arisen in practical problems such as in modeling neuronal stochastic behavior, rotation movement of sunflower, respiratory physiology processes, and optimal control theory. This study is important because solving a real problem analytically is...

Full description

Saved in:
Bibliographic Details
Main Authors: Jaaffar, Nur Tasnem, Abdul Majid, Zanariah, Senu, Norazak
Format: Article
Published: Badih/Ghusayni 2021
Online Access:http://psasir.upm.edu.my/id/eprint/95109/
http://ijmcs.future-in-tech.net/Volume16.3.htm
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.95109
record_format eprints
spelling my.upm.eprints.951092023-04-12T04:09:26Z http://psasir.upm.edu.my/id/eprint/95109/ Solving the singularly perturbation problems of delay differential equations numerically Jaaffar, Nur Tasnem Abdul Majid, Zanariah Senu, Norazak Singular perturbation problems with delay argument have arisen in practical problems such as in modeling neuronal stochastic behavior, rotation movement of sunflower, respiratory physiology processes, and optimal control theory. This study is important because solving a real problem analytically is tedious, so we propose a numerical method to approximate these problems. In this article, the multistep block method is developed to solve problems concerning second order delay differential equations that involved singular perturbation problems. The process consists of using block technique where three points approximate solutions are computed at the same time. Each of the three points is directly integrated once and twice and approximated by using Lagrange interpolation. Predictor and corrector techniques are applied to obtain the accuracy of the method with the corrector Badih/Ghusayni 2021 Article PeerReviewed Jaaffar, Nur Tasnem and Abdul Majid, Zanariah and Senu, Norazak (2021) Solving the singularly perturbation problems of delay differential equations numerically. International Journal of Mathematics and Computer Science, 16 (3). 1003 - 1016. ISSN 1814-0424; ESSN: 1814-0432 http://ijmcs.future-in-tech.net/Volume16.3.htm
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/
description Singular perturbation problems with delay argument have arisen in practical problems such as in modeling neuronal stochastic behavior, rotation movement of sunflower, respiratory physiology processes, and optimal control theory. This study is important because solving a real problem analytically is tedious, so we propose a numerical method to approximate these problems. In this article, the multistep block method is developed to solve problems concerning second order delay differential equations that involved singular perturbation problems. The process consists of using block technique where three points approximate solutions are computed at the same time. Each of the three points is directly integrated once and twice and approximated by using Lagrange interpolation. Predictor and corrector techniques are applied to obtain the accuracy of the method with the corrector
format Article
author Jaaffar, Nur Tasnem
Abdul Majid, Zanariah
Senu, Norazak
spellingShingle Jaaffar, Nur Tasnem
Abdul Majid, Zanariah
Senu, Norazak
Solving the singularly perturbation problems of delay differential equations numerically
author_facet Jaaffar, Nur Tasnem
Abdul Majid, Zanariah
Senu, Norazak
author_sort Jaaffar, Nur Tasnem
title Solving the singularly perturbation problems of delay differential equations numerically
title_short Solving the singularly perturbation problems of delay differential equations numerically
title_full Solving the singularly perturbation problems of delay differential equations numerically
title_fullStr Solving the singularly perturbation problems of delay differential equations numerically
title_full_unstemmed Solving the singularly perturbation problems of delay differential equations numerically
title_sort solving the singularly perturbation problems of delay differential equations numerically
publisher Badih/Ghusayni
publishDate 2021
url http://psasir.upm.edu.my/id/eprint/95109/
http://ijmcs.future-in-tech.net/Volume16.3.htm
_version_ 1762963282991251456
score 13.211869

Similar Items