Stability analysis of extended one-step schemes for stiffand non-stiffdelay differential equations

Fatma Ibrahim; Fathalla A. Rihan; Stefan Turek

doi:10.18576/AMIS/100509

Stability analysis of extended one-step schemes for stiffand non-stiffdelay differential equations

Fatma Ibrahim, Fathalla A. Rihan, Stefan Turek

Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

Herein, we provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiffand non-stiffproblems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.

Original language	English
Pages (from-to)	1705-1717
Number of pages	13
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	5
DOIs	https://doi.org/10.18576/AMIS/100509
Publication status	Published - 2016

Keywords

DDEs
Extended one-step schemes
P-Stability
Q-Stability
Stability regions
Stiffness

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.18576/AMIS/100509

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title = "Stability analysis of extended one-step schemes for stiffand non-stiffdelay differential equations",

abstract = "Herein, we provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiffand non-stiffproblems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.",

keywords = "DDEs, Extended one-step schemes, P-Stability, Q-Stability, Stability regions, Stiffness",

author = "Fatma Ibrahim and Rihan, {Fathalla A.} and Stefan Turek",

note = "Funding Information: The authors would like to thank reviewers and editor for their valuable comments which improved the manuscript. The work of Prof. F. Rihan is supported by NRF Project (UAE), # 21S093-RSA 2014-08. Publisher Copyright: {\textcopyright} 2016 NSP Natural Sciences Publishing Cor.",

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T1 - Stability analysis of extended one-step schemes for stiffand non-stiffdelay differential equations

AU - Ibrahim, Fatma

AU - Rihan, Fathalla A.

AU - Turek, Stefan

N1 - Funding Information: The authors would like to thank reviewers and editor for their valuable comments which improved the manuscript. The work of Prof. F. Rihan is supported by NRF Project (UAE), # 21S093-RSA 2014-08. Publisher Copyright: © 2016 NSP Natural Sciences Publishing Cor.

PY - 2016

Y1 - 2016

N2 - Herein, we provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiffand non-stiffproblems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.

AB - Herein, we provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiffand non-stiffproblems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.

KW - DDEs

KW - Extended one-step schemes

KW - P-Stability

KW - Q-Stability

KW - Stability regions

KW - Stiffness

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EP - 1717

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 5

ER -

Stability analysis of extended one-step schemes for stiffand non-stiffdelay differential equations

Abstract

Keywords

ASJC Scopus subject areas

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