Тип публикации: статья из журнала

Год издания: 2023

Идентификатор DOI: 10.1515/rnam-2023-0003

Аннотация: <jats:title>Abstract</jats:title> <jats:p>The article is devoted to the construction and study of a finite-difference scheme for a one-dimensional diffusion–convection equation with a fractional derivative with respect to the characteristic of the convection operator. It develops the previous results of the authors from [5, 6] in tПоказать полностьюhe following ways: the differential equation contains a fractional derivative of variable order along the characteristics of the convection operator and a quasi-linear diffusion operator; a new accuracy estimate is proved, which singles out the dependence of the accuracy of mesh scheme on the curvature of the characteristics.</jats:p>

Журнал: Russian Journal of Numerical Analysis and Mathematical Modelling

Выпуск журнала: Т. 38, № 1

Номера страниц: 23-35

ISSN журнала: 09276467

Место издания: Москва

Издатель: Walter de Gruyter GmbH &amp; Co. KG

• Lapin Alexander V. (Sechenov University, Moscow 119435; Marchuk Institute of Numerical Mathematics of Russian Academy of Sciences, Moscow 119333, Russia)
• Shaydurov Vladimir V. (Institute of Computational Modelling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk 660036, Russia)
• Yanbarisov Ruslan M. (Sechenov University, Moscow 119435; Marchuk Institute of Numerical Mathematics of Russian Academy of Sciences, Moscow 119333, Russia)

• Ядро РИНЦ (eLIBRARY.RU)