A NUMERICAL SOLUTION FOR A CLASS OF TIME FRACTIONAL DIFFUSION EQUATIONSWITH DELAY / Pimenov Vladimir G.,Hendy Ahmed S. // INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE. - 2017. - V. 27, l. 3. - P. 477-488.

ISSN/EISSN:

1641-876X / нет данных

Type:

Article

Abstract:

This paper describes a numerical scheme for a class of fractional diffusion equations with fixed time delay. The study focuses on the uniqueness, convergence and stability of the resulting numerical solution by means of the discrete energy method. The derivation of a linearized difference scheme with convergence order O(iota(2-alpha) + h(4)) in L infinity-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results.

Author keywords:

fractional diffusion equation with delay; difference scheme; convergence analysis DIFFERENCE SCHEME; MODEL; DISPERSION; CALCULUS; SYSTEMS

DOI:

10.1515/amcs-2017-0033

Web of Science ID:

ISI:000411568700003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	UNIV ZIELONA GORA PRESS
Address	UL PODGORNA 50, ZIELONA GORA, 65-246, POLAND
Language	English
Keywords-Plus	DIFFERENCE SCHEME; MODEL; DISPERSION; CALCULUS; SYSTEMS
Research-Areas	Automation \& Control Systems; Computer Science; Mathematics
Web-of-Science-Categories	Automation \& Control Systems; Computer Science, Artificial Intelligence; 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	Government of Russian Federation {[}02.A03.21.0006]
Funding-Text	This work was supported by the Government of Russian Federation under the grant no. 02.A03.21.0006.
Number-of-Cited-References	35
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	2
Journal-ISO	Int. J. Appl. Math. Comput. Sci.
Doc-Delivery-Number	FH9WV