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

Muhammed I. Syam, Moh'd A. Alrefai

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)2677-2681
Number of pages5
JournalAlexandria Engineering Journal
Volume59
Issue number4
DOIs
Publication statusPublished - Aug 2020

Keywords

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

ASJC Scopus subject areas

  • General Engineering

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