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

Vladimir G. Pimenov; Ahmed S. Hendy

doi:10.15826/umj.2016.1.005

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

Результат исследований: Вклад в журнал › Статья

Аннотация

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.

Язык оригинала	Английский
Страницы (с-по)	48-57
Число страниц	10
Журнал	Ural Mathematical Journal
Том	2
Номер выпуска	1(2)
DOI	https://doi.org/10.15826/umj.2016.1.005
Состояние	Опубликовано - 2016

ГРНТИ

27.00.00 МАТЕМАТИКА

Уровень публикации

Перечень ВАК

Ссылки

10.15826/umj.2016.1.005

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

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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.",

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