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 language | English |
|---|---|
| Title of host publication | Mathematical Methods and Computational Techniques in Science and Engineering |
| Publisher | American Institute of Physics Inc. |
| Volume | 1872 |
| ISBN (Electronic) | 9780735415522 |
| DOIs | |
| Publication status | Published - Sep 6 2017 |
| Event | 2017 International Conference on Mathematical Methods and Computational Techniques in Science and Engineering, MMCTSE 2017 - Cambridge, United Kingdom Duration: Feb 24 2017 → Feb 26 2017 |
Other
| Other | 2017 International Conference on Mathematical Methods and Computational Techniques in Science and Engineering, MMCTSE 2017 |
|---|---|
| Country | United Kingdom |
| City | Cambridge |
| Period | 2/24/17 → 2/26/17 |
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Keywords
- Mono-implicit RK methods
- Singularly perturbed problems
- Stability
- Stiffness
- Time-lags
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations
AU - Rihan, Fathalla A.
AU - Al-Salti, Nasser S.
PY - 2017/9/6
Y1 - 2017/9/6
N2 - 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.
AB - 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.
KW - Mono-implicit RK methods
KW - Singularly perturbed problems
KW - Stability
KW - Stiffness
KW - Time-lags
UR - http://www.scopus.com/inward/record.url?scp=85029835655&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85029835655&partnerID=8YFLogxK
U2 - 10.1063/1.4996658
DO - 10.1063/1.4996658
M3 - Conference contribution
VL - 1872
BT - Mathematical Methods and Computational Techniques in Science and Engineering
PB - American Institute of Physics Inc.
ER -