Identifying Stiff Ordinary Differential Equations and Problem Solving Environments (PSEs)
B. K. Aliyu, C. A. Osheku, A. A. Funmilayo, J. I. Musa
Journal of Scientific Research and Reports · pp. 1430–1448 · Published 16 Apr 2014
10.9734/JSRR/2014/9842Abstract
Stiff Ordinary Differential Equations (SODEs) are present in engineering, mathematics, and sciences. Identifying them for effective simulation (or prediction) and perhaps hardware implementation in aerospace control systems is imperative. This paper considers only linear Initial Value Problems (IVPs) and brings to light the fact that stiffness ratio or coefficient of a suspected stiff dynamic system can be elusive as regards the phenomenon of stiffness. Though, it gives the insight suggesting stiffness when the value is up to 1000 but is not necessarily so in all ODEs. Neither does a value less than 1000 imply non-stiffness. MATLAB/Simulink® and MAPLE® were selected as the Problem Solving Environment (PSE) largely due to the peculiar attribute of Model Based Software Engineering (MBSE) and analytical computational superiority of each PSEs, respectively. This creates the base for comparing results from both numerical and analytical standpoint. In Simulink, two methods of modelling ODEs are presented. Experimenting with all the variable-step solvers in MATLAB® ODE Suit for selected examples was carried out. Results point to the fact that stiffness coefficient of about 1000does not always suggest that an ODE is stiff nor does a value less than 1000 suggest non-stiff.
Cited by 8
M. Keshvarinia, Cameron A. MacKenzie, Mark Mba Wright · Energies · 2026
Yanhui Ding, Q. Tang, Sijia Tang · AppliedMath · 2026
C. Jeynes-Smith, R. Araujo · bioRxiv · 2022
C. Wai, Loy Kak Choon, R. Idris · Universiti Malaysia Terengganu Journal of Undergraduate Research · 2021
B. Aliyu, J. Musa · 2016
D. Omale · 2014
CHUA KAH WAI, LOY KAK CHOON, RUWAIDIAH IDRIS · Universiti Malaysia Terengganu Journal of Undergraduate Research · 2021
C. Jeynes-Smith, R. P. Araujo · 2022
Related research
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
8
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.