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


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.47836/mjms.17.3.10
Publisher: Universiti Putra Malaysia Press
Keywords: Boundary value problem; Constant delay; Retarded delay differential equation; Direct method; Initial value problem; Neutral delay differential equation; Shooting method; Delay differential equation; Quality education
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 04 Nov 2024 03:56
Last Modified: 04 Nov 2024 03:56
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.17.3.10
URI: http://psasir.upm.edu.my/id/eprint/107351
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