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FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY. / Pimenov, Vladimir G.; Hendy, Ahmed S.
в: Ural Mathematical Journal, Том 2, № 1(2), 2016, стр. 48-57.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Pimenov, VG & Hendy, AS 2016, 'FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY', Ural Mathematical Journal, Том. 2, № 1(2), стр. 48-57. https://doi.org/10.15826/umj.2016.1.005

APA

Pimenov, V. G., & Hendy, A. S. (2016). FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY. Ural Mathematical Journal, 2(1(2)), 48-57. https://doi.org/10.15826/umj.2016.1.005

Vancouver

Pimenov VG, Hendy AS. FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY. Ural Mathematical Journal. 2016;2(1(2)):48-57. doi: 10.15826/umj.2016.1.005

Author

Pimenov, Vladimir G. ; Hendy, Ahmed S. / FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY. в: Ural Mathematical Journal. 2016 ; Том 2, № 1(2). стр. 48-57.

BibTeX

@article{190609443f434693b8d4a5c71c82f3f8,
title = "FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY",
abstract = "For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence is obtained. The method is a fractional analogue of the Crank-Nicholson method, and also uses interpolation and extrapolation of the prehistory of model with respect to time.",
author = "Pimenov, {Vladimir G.} and Hendy, {Ahmed S.}",
year = "2016",
doi = "10.15826/umj.2016.1.005",
language = "English",
volume = "2",
pages = "48--57",
journal = "Ural Mathematical Journal",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "1(2)",

}

RIS

TY - JOUR

T1 - FRACTIONAL ANALOG OF CRANK-NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY

AU - Pimenov, Vladimir G.

AU - Hendy, Ahmed S.

PY - 2016

Y1 - 2016

N2 - For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence is obtained. The method is a fractional analogue of the Crank-Nicholson method, and also uses interpolation and extrapolation of the prehistory of model with respect to time.

AB - For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence is obtained. The method is a fractional analogue of the Crank-Nicholson method, and also uses interpolation and extrapolation of the prehistory of model with respect to time.

UR - https://elibrary.ru/item.asp?id=26501482

U2 - 10.15826/umj.2016.1.005

DO - 10.15826/umj.2016.1.005

M3 - Article

VL - 2

SP - 48

EP - 57

JO - Ural Mathematical Journal

JF - Ural Mathematical Journal

SN - 2414-3952

IS - 1(2)

ER -

ID: 7009579