Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain


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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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