Locally one-dimensional difference scheme for a fractional tracer transport equation


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Abstract

A locally one-dimensional scheme for a fractional tracer transport equation of order is considered. An a priori estimate is obtained for the solution of the scheme, and its convergence is proved in the uniform metric.

About the authors

B. A. Ashabokov

Institute of Computer Science and Problems of Regional Management, Kabardino-Balkar Scientific Center

Email: zarabaeva@yandex.ru
Russian Federation, Nalchik, 360051

Z. V. Beshtokova

Institute of Applied Mathematics and Automation

Author for correspondence.
Email: zarabaeva@yandex.ru
Russian Federation, Nalchik, 360000

M. Kh. Shkhanukov-Lafishev

Institute of Applied Mathematics and Automation

Email: zarabaeva@yandex.ru
Russian Federation, Nalchik, 360000

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