Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation
- 作者: Alikhanov A.A.1
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隶属关系:
- Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center
- 期: 卷 56, 编号 4 (2016)
- 页面: 561-575
- 栏目: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178378
- DOI: https://doi.org/10.1134/S0965542516040035
- ID: 178378
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详细
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.
作者简介
A. Alikhanov
Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center
编辑信件的主要联系方式.
Email: alikhanov-tom@yandex.ru
俄罗斯联邦, ul. Shortanova 89-A, Nalchik, 360000
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