Multistep numerical methods for functional differential equations / Kim AV,Pimenov VG // MATHEMATICS AND COMPUTERS IN SIMULATION. - 1998. - V. 45, l. 3-4. - P. 377-384.

ISSN/EISSN:

0378-4754 / нет данных

Type:

Article; Proceedings Paper

Abstract:

Different numerical methods are developed for solving retarded differential equations {[}1,9]. Multistep numerical methods for general functional differential equations (FDE) were elaborated in {[}5,10]. In contrast to those works presented in this paper, multistep numerical methods are based on the interpolation of discrete model, but not on the approximation of functionals (in the right-hand side of FDE). Basic attention is given to investigating of convergence orders of the methods. In stable multistep numerical method of solving ordinary differential equations (ODE) the convergence order is defined only by approximation order and starting procedure order. In case of FDE the order of convergence of stable multistep numerical method depends in addition on two parameters: the approximation orders of interpolation and extrapolation of the numerical model pre-history. (C) 1998 IMACS/Elsevier Science B.V.

Author keywords:

time-delay systems; numerical methods; convergence order

DOI:

10.1016/S0378-4754(97)00117-1

Web of Science ID:

ISI:000072870500017

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	FEB
Note	Symposium on Modelling, Analysis and Simulation at the Multiconference on Computational Engineering in Systems Applications (CESA 96), LILLE, FRANCE, JUL 09-12, 1996
Organization	IMACS; IEEE, SMC; Region Nord, Pas Calais; Ctr Nat Rech Sci
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
Research-Areas	Computer Science; Mathematics
Web-of-Science-Categories	Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied
ResearcherID-Numbers	Pimenov, Vladimir/N-9894-2017
ORCID-Numbers	Pimenov, Vladimir/0000-0002-4042-6079
Number-of-Cited-References	10
Usage-Count-Last-180-days	4
Usage-Count-Since-2013	23
Journal-ISO	Math. Comput. Simul.
Doc-Delivery-Number	ZF168