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

Fathalla A. Rihan, Nasser S. Al-Salti

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
PublisherAmerican Institute of Physics Inc.
Volume1872
ISBN (Electronic)9780735415522
DOIs
Publication statusPublished - Sep 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

Other

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

Fingerprint

numerical stability
boundary value problems
differential equations
costs
approximation
simulation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Rihan, F. A., & Al-Salti, N. S. (2017). Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations. In Mathematical Methods and Computational Techniques in Science and Engineering (Vol. 1872). [020001] American Institute of Physics Inc.. https://doi.org/10.1063/1.4996658

Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations. / Rihan, Fathalla A.; Al-Salti, Nasser S.

Mathematical Methods and Computational Techniques in Science and Engineering. Vol. 1872 American Institute of Physics Inc., 2017. 020001.

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

Rihan, FA & Al-Salti, NS 2017, Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations. in Mathematical Methods and Computational Techniques in Science and Engineering. vol. 1872, 020001, American Institute of Physics Inc., 2017 International Conference on Mathematical Methods and Computational Techniques in Science and Engineering, MMCTSE 2017, Cambridge, United Kingdom, 2/24/17. https://doi.org/10.1063/1.4996658
Rihan FA, Al-Salti NS. Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations. In Mathematical Methods and Computational Techniques in Science and Engineering. Vol. 1872. American Institute of Physics Inc. 2017. 020001 https://doi.org/10.1063/1.4996658
Rihan, Fathalla A. ; Al-Salti, Nasser S. / Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations. Mathematical Methods and Computational Techniques in Science and Engineering. Vol. 1872 American Institute of Physics Inc., 2017.
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