BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis / Pimenov V. G.,Hendy A. S. // APPLIED NUMERICAL MATHEMATICS. - 2017. - V. 118, l. . - P. 266-276.

ISSN/EISSN:

0168-9274 / 1873-5460

Type:

Article

Abstract:

A numerical method for fractional order differential equations (FDEs) and constant or time varying delayed fractional differential equations (FDDEs) is constructed. This method is of BDF-type which is based on the interval approximation of the true solution by truncated shifted Chebyshev series. This approach can be reformulated in an equivalent way as a Runge-Kutta method and its Butcher tableau is given. A detailed local and global truncating errors analysis is deduced for the numerical solutions of FDEs and FDDEs. Illustrative examples are included to demonstrate the validity and applicability of the proposed approach. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

Author keywords:

Fractional differential equations with delay; BDF-type methods; Shifted Chebyshev polynomials; Runge Kutta methods; Local and global truncating INFINITE DELAY; ORDER; UNIQUENESS; SYSTEMS

DOI:

10.1016/j.apnum.2017.03.013

Web of Science ID:

ISI:000403125800016

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	AUG
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-5460
Keywords-Plus	INFINITE DELAY; ORDER; UNIQUENESS; SYSTEMS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied
Author-Email	v.g.pimenov@urfu.ru ahmed.hendy@fsc.bu.edu.eg
ResearcherID-Numbers	Pimenov, Vladimir/N-9894-2017
ORCID-Numbers	Pimenov, Vladimir/0000-0002-4042-6079
Funding-Acknowledgement	Act 211 Government of the Russian Federation program {[}02.A03.21.0006]
Funding-Text	This work was supported by Act 211 Government of the Russian Federation program 02.A03.21.0006 on 27.08.2013.
Number-of-Cited-References	32
Usage-Count-Last-180-days	6
Usage-Count-Since-2013	6
Journal-ISO	Appl. Numer. Math.
Doc-Delivery-Number	EX3IM