Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations

Fathalla A. Rihan*, Nasser S. Al-Salti

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we adapt Mono-Implicit Runge-Kutta schemes for numerical approximations of singularly perturbed delay differential equations. The schemes are developed to reduce the computational cost of the fully implicit method which combine the accuracy of implicit method and efficient implementation. Numerical stability properties of the schemes are investigated. Numerical simulations are provided to show the effectiveness of the method for both stiff and non-stiff initial value problems.

Original languageEnglish
Title of host publicationMathematical Methods and Computational Techniques in Science and Engineering
EditorsNikos Bardis
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415522
DOIs
Publication statusPublished - Sept 6 2017
Event2017 International Conference on Mathematical Methods and Computational Techniques in Science and Engineering, MMCTSE 2017 - Cambridge, United Kingdom
Duration: Feb 24 2017Feb 26 2017

Publication series

NameAIP Conference Proceedings
Volume1872
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other2017 International Conference on Mathematical Methods and Computational Techniques in Science and Engineering, MMCTSE 2017
Country/TerritoryUnited Kingdom
CityCambridge
Period2/24/172/26/17

Keywords

  • Mono-implicit RK methods
  • Singularly perturbed problems
  • Stability
  • Stiffness
  • Time-lags

ASJC Scopus subject areas

  • General Physics and Astronomy

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