Citation
Ahmad, N. A. and N., Senu and Z. B., Ibrahim and M., Othman
(2022)
Stability analysis of diagonally implicit two derivative runge-kutta methods for solving delay differential equations.
Malaysian Journal of Mathematical Sciences, 16 (2).
215 - 235.
ISSN 1823-8343
Abstract
The stability properties of fourth and fifth-order Diagonally Implicit Two Derivative RungeKutta method (DITDRK) combined with Lagrange interpolation when applied to the linear Delay Differential Equations (DDEs) are investigated. This type of stability is known as P-stability and Q-stability. Their stability regions for (λ, µ ∈ <) and (µ ∈ C, λ = 0) are determined. The superiority of the DITDRK methods over other same order existing Diagonally Implicit RungeKutta (DIRK) methods when solving DDEs problems are clearly demonstrated by plotting the efficiency curves of the log of both maximum errors versus function evaluations and the CPU time taken to do the integration.
Download File
Full text not available from this repository.
Official URL or Download Paper: https://mjms.upm.edu.my/senaraimakalah.php?yr=2022...
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Computer Science and Information Technology Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.47836/mjms.16.2.04 |
| Publisher: | Universiti Putra Malaysia |
| Keywords: | Diagonally implicit two derivative Runge-Kutta method; Delay differential equations; Initial value problems; P-stability; Q-stability |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 07 Nov 2023 04:37 |
| Last Modified: | 07 Nov 2023 04:37 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.16.2.04 |
| URI: | http://psasir.upm.edu.my/id/eprint/103277 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |