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- Title
A Class of Methods with Optimal Stability Properties for the Numerical Solution of IVPs: Construction and Implementation.
- Authors
Nasab, Masoumeh Hosseini; Hojjati, Gholamreza; Abdi, Ali
- Abstract
Considering the methods with future points technique from second derivative general linear methods (SGLMs) point of view, makes it possible to improve their stability properties. In this paper, we extend the stability regions of a modified version of E2BD formulas to optimal one and show its effectiveness by numerical verifications. Also, implementation issues, with numerical experiments, of these methods are investigated in a variable step-size mode.
- Subjects
STIFF computation (Differential equations); NUMERICAL analysis; MATHEMATICAL formulas; MATHEMATICAL models; STABILITY theory
- Publication
International Journal of Computational Methods, 2017, Vol 14, Issue 1, p-1
- ISSN
0219-8762
- Publication type
Article
- DOI
10.1142/S0219876217500074