We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs.
- Authors
Okuonghae, R. I.; Ikhile, M. N. O.
- Abstract
This paper considers family of A(α)-stable second derivative linear multistep methods of order p = k + 3 for step number k ≤ 15 for the solution of stiff IVPs in ODEs. The methods are demonstrated to be A(α)-stable for k ≤ 13. At k = 14, the method is stable but not A(α)-stable. The instability of the new methods sets in when k > 15. Numerical examples are given to demonstrate the application of the methods.
- Subjects
STIFF computation (Differential equations); INITIAL value problems; COLLOCATION methods; BOUNDARY layer control; COMPUTATIONAL mathematics
- Publication
Journal of Algorithms & Computational Technology, 2012, Vol 6, Issue 1, p79
- ISSN
1748-3018
- Publication type
Article
- DOI
10.1260/1748-3018.6.1.79