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Finite differencescheme for anon-linearsubdiffusion problemwith a fractionalderivative along thetrajectory of motion Lapin Alexander V.Shaydurov Vladimir V.Yanbarisov Ruslan M.2023 год

Finite difference scheme for a non-linear subdiffusion problem with a fractional derivative along the trajectory of motion
статья из журнала

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Библиографическое описание: Finite difference scheme for a non-linear subdiffusion problem with a fractional derivative along the trajectory of motion : научное издание / Alexander V. Lapin, Vladimir V. Shaydurov, Ruslan M. Yanbarisov. - Текст : непосредственный // Russian Journal of Numerical Analysis and Mathematical Modelling. - 2023. - Т. 38, № 1. - P. 23-35. - ISSN 0927-6467. - ISSN 1569-3988, 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 the 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>
Год издания: 2023
Авторы: Lapin Alexander V. , Shaydurov Vladimir V. , Yanbarisov Ruslan M.
Издательство: Walter de Gruyter GmbH & Co. KG, Москва
Источник: Russian Journal of Numerical Analysis and Mathematical Modelling
Выпуск: Т. 38, № 1
Номера страниц: 23-35
Держатель оригинала документа: Institute of Computational Modelling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk 660036, Russia, Sechenov University, Moscow 119435; Marchuk Institute of Numerical Mathematics of Russian Academy of Sciences, Moscow 119333, Russia
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