Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain
- Authors: Bazzaev A.K.1,2, Shkhanukov-Lafishev M.K.3
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Affiliations:
- North Ossetian State University
- Vladikavkaz Institute of Management
- Kabardino-Balkar State University
- Issue: Vol 56, No 1 (2016)
- Pages: 106-115
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178224
- DOI: https://doi.org/10.1134/S0965542516010061
- ID: 178224
Cite item
Abstract
Locally one-dimensional difference schemes are considered as applied to a fractional diffusion equation with variable coefficients in a domain of complex geometry. They are proved to be stable and uniformly convergent for the problem under study.
About the authors
A. K. Bazzaev
North Ossetian State University; Vladikavkaz Institute of Management
Author for correspondence.
Email: alexander.bazzaev@gmail.com
Russian Federation, ul. Vatutina 44–46, Vladikavkaz, 362025; ul. Borodinskaya 14, Vladikavkaz, 362025
M. Kh. Shkhanukov-Lafishev
Kabardino-Balkar State University
Email: alexander.bazzaev@gmail.com
Russian Federation, ul. Chernyshevskogo 173, Nalchik, 360004
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