On a class of non-linear delay distributed order fractional diffusion equations / Pimenov V. G.,Hendy A. S.,De Staelen R. H. // JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - 2017. - V. 318, l. SI. - P. 433-443.

ISSN/EISSN:

0377-0427 / 1879-1778

Type:

Article

Abstract:

In this paper, we consider a numerical scheme for a class of non-linear time delay fractional diffusion equations with distributed order in time. This study covers the unique solvability, convergence and stability of the resulted numerical solution by means of the discrete energy method. The derivation of a linearized difference scheme with convergence order O(tau + (Delta alpha)(4) + h(4)) in L-infinity-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

Author keywords:

Distributed order fractional partial differential equations; Difference scheme; Discrete energy method; Delay partial differential equations; Convergence; Stability DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; WAVE EQUATION; SCHEMES; MODEL

DOI:

10.1016/j.cam.2016.02.039

Web of Science ID:

ISI:000394067700041

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1879-1778
Keywords-Plus	DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; WAVE EQUATION; SCHEMES; MODEL
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied
Author-Email	vladimir.pimenov@urfu.ru ahmed.hendy@fsc.bu.edu.eg rob.destaelen@ugent.be
ResearcherID-Numbers	Pimenov, Vladimir/N-9894-2017
ORCID-Numbers	Pimenov, Vladimir/0000-0002-4042-6079 De Staelen, Rob/0000-0001-9193-2011
Funding-Acknowledgement	Act 211 Government of the Russian Federation program {[}02.A03.21.0006]
Funding-Text	For the first two authors, 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	38
Usage-Count-Last-180-days	12
Usage-Count-Since-2013	16
Journal-ISO	J. Comput. Appl. Math.
Doc-Delivery-Number	EK6WW