Numerical Solution of Time-Dependent Problems with a Fractional-Power Elliptic Operator
- Autores: Vabishchevich P.N.1,2
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Afiliações:
- Nuclear Safety Institute
- Ammosov North-Eastern Federal University
- Edição: Volume 58, Nº 3 (2018)
- Páginas: 394-409
- Seção: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180099
- DOI: https://doi.org/10.1134/S0965542518030120
- ID: 180099
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Resumo
A time-dependent problem in a bounded domain for a fractional diffusion equation is considered. The first-order evolution equation involves a fractional-power second-order elliptic operator with Robin boundary conditions. A finite-element spatial approximation with an additive approximation of the operator of the problem is used. The time approximation is based on a vector scheme. The transition to a new time level is ensured by solving a sequence of standard elliptic boundary value problems. Numerical results obtained for a two-dimensional model problem are presented.
Sobre autores
P. Vabishchevich
Nuclear Safety Institute; Ammosov North-Eastern Federal University
Autor responsável pela correspondência
Email: vabishchevich@gmail.com
Rússia, Moscow, 115191; Yakutsk, 677000
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