A reliable method for first order delay equations based on the implicit hybrid method

Muhammed I. Syam; Moh'd A. Alrefai

doi:10.1016/j.aej.2020.04.043

A reliable method for first order delay equations based on the implicit hybrid method

Muhammed I. Syam, Moh'd A. Alrefai

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points. We use interpolation to overcome this difficulty. Theoretical results including stability and convergence results are presented. The efficiency of the proposed approach is tested through two examples.

Original language	English
Pages (from-to)	2677-2681
Number of pages	5
Journal	Alexandria Engineering Journal
Volume	59
Issue number	4
DOIs	https://doi.org/10.1016/j.aej.2020.04.043
Publication status	Published - Aug 2020

Keywords

Convergence
First order delay equations
Implicit hybrid method
Region of absolute stability

ASJC Scopus subject areas

Engineering(all)

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10.1016/j.aej.2020.04.043

Cite this

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title = "A reliable method for first order delay equations based on the implicit hybrid method",

abstract = "In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points. We use interpolation to overcome this difficulty. Theoretical results including stability and convergence results are presented. The efficiency of the proposed approach is tested through two examples.",

keywords = "Convergence, First order delay equations, Implicit hybrid method, Region of absolute stability",

author = "Syam, {Muhammed I.} and Alrefai, {Moh'd A.}",

note = "Publisher Copyright: {\textcopyright} 2020 Faculty of Engineering, Alexandria University",

year = "2020",

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AU - Syam, Muhammed I.

AU - Alrefai, Moh'd A.

PY - 2020/8

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N2 - In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points. We use interpolation to overcome this difficulty. Theoretical results including stability and convergence results are presented. The efficiency of the proposed approach is tested through two examples.

AB - In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points. We use interpolation to overcome this difficulty. Theoretical results including stability and convergence results are presented. The efficiency of the proposed approach is tested through two examples.

KW - Convergence

KW - First order delay equations

KW - Implicit hybrid method

KW - Region of absolute stability

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A reliable method for first order delay equations based on the implicit hybrid method

Abstract

Keywords

ASJC Scopus subject areas

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