Citation
Ismail, Fudziah and Suleiman, Mohamed
(2000)
The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations.
International Journal of Computer Mathematics, 76 (2).
pp. 267-277.
ISSN 0020-7160; eISSN: 0020-7160
Abstract
The stability properties for Singly Diagonally Implicit Runge-Kutta method fourth order five stages embedded in fifth order six stages, combined with Lagrange interpolation when applied to the linear delay differential equation. y′(t) = λy(t)+μy(t-τ) (t≥0), y(t) = φ(t) (t∈[-τ, 0]) are investigated. Their regions of stability for (λ, μ∈R) and (μ∈C, λ = 0) are determined and numerical results when some problems are solved using the method are presented.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1080/00207160008805023 |
| Publisher: | Gordon & Breach Science Publ IncNewark |
| Keywords: | Singly diagonally implicit runge-kutta method; Delay differential equations; p-stability; q-stability; Lagrange interpolation; Stability regions; Numerical results; Linear delay differential equation; Fourth order runge-kutta; Fifth order runge-kutta; Embedded runge-kutta; Five stage runge-kutta; Six stage runge-kutta |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 27 Feb 2025 07:19 |
| Last Modified: | 27 Feb 2025 07:19 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/00207160008805023 |
| URI: | http://psasir.upm.edu.my/id/eprint/115279 |
| Statistic Details: | View Download Statistic |
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