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- Title
Numerical Solution of Time-Dependent Problems with a Fractional-Power Elliptic Operator.
- Authors
Vabishchevich, P. N.
- Abstract
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.
- Subjects
NUMERICAL analysis; PARTIAL differential equations; BOUNDARY value problems; MATHEMATICAL models; DIFFERENTIAL equations
- Publication
Computational Mathematics & Mathematical Physics, 2018, Vol 58, Issue 3, p394
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542518030120