NDLI: Class 2+1 Hybrid BDF-Like methods for the numerical solutions of ordinary differential equations

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Class 2+1 Hybrid BDF-Like methods for the numerical solutions of ordinary differential equations

Content Provider	Springer Nature Link
Author	Ebadi, M. Gokhale, M. Y.
Copyright Year	2011
Abstract	In this article, the details of new hybrid methods have been presented to solve systems of ordinary differential equations (ODEs). These methods are based on backward differentiation formulae (BDF) where one additional stage point (or off-step point) and two step points have been used in the first derivative of the solution to improve the absolute stability regions compared with some existing methods such as BDF, extended BDF (EBDF) and modified EBDF (MEBDF). Stability domains of our new methods have been obtained showing that these methods, we say Class 2+1 Hybrid BDF-Like methods, are A-stable for order p, p=3,4, and A(α)-stable for order p, p=5, 6, 7, 8. Numerical results are also given for five test problems.
Ending Page	291
Page Count	19
Starting Page	273
File Format	PDF
ISSN	00080624
e-ISSN	11265434
Journal	CALCOLO
Issue Number	4
Volume Number	48
Language	English
Publisher	Springer Milan
Publisher Date	2011-02-08
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Off-step point Numerical Analysis Stiff systems Initial value problems Parallel computation Theory of Computation General multistep methods A-stability
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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