Email this article Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation
- Authors: Alikhanov A.A.1
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Affiliations:
- Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center
- Issue: Vol 56, No 4 (2016)
- Pages: 561-575
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178378
- DOI: https://doi.org/10.1134/S0965542516040035
- ID: 178378
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Abstract
A family of difference schemes for the fractional-order diffusion equation with variable coefficients is considered. By the method of energetic inequalities, a priori estimates are obtained for solutions of finite-difference problems, which imply the stability and convergence of the difference schemes considered. The validity of the results is confirmed by numerical calculations for test examples.
About the authors
A. A. Alikhanov
Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center
Author for correspondence.
Email: alikhanov-tom@yandex.ru
Russian Federation, ul. Shortanova 89-A, Nalchik, 360000
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